scientific theology

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Scientific theology: a new history of creation

Chapter 9: A theory of peace

9.1: Problems and theories
9.2: Social Contracts
9.3: A divine world covers all possibilities
9.4: Logic: the mechanism of being
9.5: Heaven (and hell) on Earth
9.6: From Hilbert to Minkowski
9.7: General relativity
9.8: Claude Shannon: the mathematics of selection
9.9: Beating noise: complexification
9.10: Noosphere: the mind cloud
9.11: Reality and fantasy: politics
9.12: The noosphere is grounded in the biosphere
9.13: Broken symmetry creates space
9.14: Democracy: political dynamics
9.15: An evolutionary burden: the devil
9.16: Education: taming and training ourselves
9.17: Grace: superhuman freedom
9.1: Problems and theories

Darwin and Einstein are essentially in agreement on the nature and purpose of theory:

In scientific investigations it is permitted to invent any hypothesis, and if it explains various large and independent classes of facts it rises to the rank of a well-grounded theory. . . .. The principle of natural selection may be looked at as a mere hypothesis, but rendered in some degree probable by what we positively know of the variability of organic beings in a state of nature, — by what we positively know of the struggle for existence, and the consequent almost inevitable preservation of favourable variations, — and from the analogical formation of domestic races. Now this hypothesis may be tested, — and this seems to me the only fair and legitimate manner of considering the whole question, — by trying whether it explains several large and independent classes of facts; such as the geological succession of organic beings, their distribution in past and present times, and their mutual affinities and homologies. If the principle of natural selection does explain these and other large bodies of facts, it ought to be received. On the ordinary view of each species having been independently created, we gain no scientific explanation of any one of these facts. We can only say that it has so pleased the Creator to command that the past and present inhabitants of the world should appear in a certain order and in certain areas; that He has impressed on them the most extraordinary resemblances, and has classed them in groups subordinate to groups. But by such statements we gain no new knowledge; we do not connect together facts and laws; we explain nothing.' Charles Darwin: The Variation of animals and Plants Under Domestication
A theory is the more impressive the greater the simplicity of its premises, the more different kinds of things it relates, and the more extended its area of applicability. Therefore the deep impression that classical thermodynamics made upon me. It is the only physical theory of universal content which I am convinced will never be overthrown, within the framework of applicability of its basic concepts. Albert Einstein: Thermodynamics - Wikiquote

The hypothesis proposed here has five points:

1. the universe is divine;

2. the divinity of the universe implies that it is self sufficient, subject to no external control;

3. consequently the observed creation of the universe from an initial state of perfect simplicity is explained by the nature of divinity itself, the subject of theology;

4. peaceful human existence within the universe requires that we understand and exploit the creative power of the universe; and

5. violence in human affairs, as elsewhere in the universe, arises when the creative power is blocked and builds up the pressure necessary to break through the blockage.

The purpose of theory, as Darwin states, is to seek connections between the elements of large bodies of data. The theory of peace proposed here is intended to show the connection of these five points. As a theory of peace it is universal and serves also, in human affairs, as a theory of war and consequently provides clues to the avoidance of war.

The purpose of the theory of peace is to explore the sources of the peaceful elements of the structure of the universe, particularly following the trail from the initial singularity to peaceful human societies. Given this core trajectory, we can then identify the branches that have led to war and disaster and propose strategies to prevent their growth. In particular we wish to point out the role of false information, particularly emphasizing the role of theological errors in promoting religious war.

We arrive at the conclusion that the source of war is the attempt by ignorant and autocratic powers to stifle human creativity and that the source of peace is the diplomatic negotiation of social contracts which fully recognise the need for the space of human activity to be expanded to the maximum possible extent.

This expansion is inherently consistent with the second law of thermodynamics, constrained by the first law. Given the vast amount of solar energy falling every moment upon the earth, we conclude that the first law places very little constraint on the spiritual growth of an intelligently managed planet.

The theory proposed here has two starting points. The first, stretching back to the ancient beginnings of philosophy, science and theology, conceives of the divinity as a source of pure activity. This idea reached its apogee in Aristotle's theory of the first unmoved mover which was incorporated by Thomas Aquinas into the foundations of Christian theology. Aquinas conceived of divinity as an absolutely simple necessary being of pure activity. Aristotle; Metaphysics 1072b6 sqq.

The second is that the divine universe is built rather like an onion, in layers, each layer depending for its existence on the layer beneath it and establishing the conditions for the existence of the layer above it. This system beings with the absolutely simple initial singularity, identical to the traditional god, and, like the numbers, has no upper limit.

This structure of the universe also dictates the structure of knowledge. Einstein introduced this structure into physics where it has proved very fruitful. We begin with a symmetry. The special theory of relativity states a symmetry: every observer, working in their own inertial frame, sees the same laws of physics. We then extend this symmetry by transformations which apply it, like an algorithm, to specific instances. Lorentz transformations in the special theory of relativity enable me to compute what the laws of physics look like in an inertial frame moving relative to me. This pattern carries us from layer to layer in the universe. Starting from a particular layer, we can study how it is transformed to create the layers above it; further, we can identify the symmetries in the layer beneath it which have been transformed to create the layer we are exploring. Algorithm - Wikipedia

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9.2: Social contracts

Throughout history most large human societies appear to have been ruled by violence. In world of limited resources, many people have realised that rape and pillage are the cheapest methods for a group of people to ensure their survival, reproduction and growth. Consequently the technologies of war and coercive control of populations have played a dominant role in shaping us. The genocide, with divine assistance, of the population of a promised land is central to the ancient history of Christianity. From a military point of view, Christianity remains the dominant religion on Earth, supported in turn by the empires of Spain, the United Kingdom and the United States. Exodus: King James Version, Margaret Macmillan: War: How Conflict Shaped Us

War is a terrible evil which reached the apogee of industrialized murder and destruction in the twentieth century. Well before these disasters, many people sought peaceful means of managing human communities. Many of these people envisaged a social structure established between willing participants in a cooperative venture modelled on the legal notion of contract. Leviathan (Hobbes Book) - Wikipedia, Jean-Jacques Rousseau - Wikipedia

Rousseau envisaged built by contract between fictitious asocial individuals. In this he is about three billion years too late, since the evolutionary solutions to the social and political problems we face began with the emergence of multicellular creatures.

Individual animals and plants comprise enormous numbers of more or less free living cells. Harmony in a cellular community arises from two facts: First, all these cells are descended from a common ancestor so that they share a common genome, and second, their descent is genetically programmed so that they differentiate into different roles. A most important role is to serve as an immune system to protect the parent organism from foreign pathogens. The evolution of immunity has followed a path very similar to the development of security systems in human communities, using intelligence to identify and eliminate threats. Immune system - Wikipedia

All my cells (which are in fact a minority within my body) share a common genome. On this foundation they work together and my immune system has clear criteria to identify strangers. We might consider the Bible and the Creeds as the genome of Christianity. They have served to bind billions of people into more or less coherent societies and identify and exclude heretics for nearly two millennia. Other religions have played similar roles. More generally, on the assumption that theologies are human theories of everything, different concepts of the nature of god are the sources large blocs of human social and political unity. Heresy - Wikipedia

From an enlightenment point of view the Christian God is now dead and we are struggling to find a new way to run things. My thought is to bring god to life again in a new form, identical to the Universe, which we all share. This is a variant on the view taken by Indigenous Australians, that the land embodies the law and is the foundation of human spirituality Sylvia Kleinert & Margo Neil (editors): The Oxford Companion to Aboriginal Arts and Culture.

A standard cosmology holds that the Universe came to be within an initial singularity by a rapid evolutionary process called the big bang. I identify this initial singularity with the god of Aquinas, pure action. Pure action demands that the universe try every possibility. Consistency demands that only those systems which are internally consistent are capable of existence.

We may look on these two demands as the algorithm of creation. They are most widely understood in the the form of the theory of evolution, which runs on variation (try everything) and selection (eliminate variations that do not work). The evolutionary paradigm identifies successful reproduction as the paramount good or value. Everything existing today has a pedigree stretching unbroken through billions of years to the earliest forms. It is therefore natural to guess that an orientation toward survival is deeply ingrained in the world.

The nature red in tooth and claw view of evolution emphasises violence and conquest, but the true power that has generated the world is the cooperation and bonding created by communication. Even the simplest fundamental particles are effectively persons or sources, able to send and receive messages. This universal power has enabled the constructions of organisms like our planet and ourselves, which are, from an atomic point of view, huge and hugely complex.

The universality of our minds reflects the creative power of the universe. This is both our weakness and our strength. It is a weakness because we can dream up stupid ideas like world domination that can cause much damage before they are selected out. It is equally our strength, because we are in a position to understand how our divine world works and learn to fit in with it. From Rawls’s point of view, we need to create a just, evidence based contractual relationship with the planet upon which we are absolutely dependent for our continued existence. John Rawls: A Theory of Justice

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9.3: A divine world covers all possibilities

I started the development of this theory of peace in 1987 with a series of radio programs. The key idea then was that we fight for survival when when resources are scarce. From a mathematical point of view we may we consider the resources of the world to be measured by the numbers, litres, kilograms, hectares and so on. I set out to interpret Cantor's theory of transfinite numbers as showing a way to generate infinite spiritual space from a relatively finite material space. This spiritual development can then become the foundation of a virtuous circle enabling us to the share and develop our material resources more efficiently to develop our spirit even further. The physical foundation of this process is the almost unlimited quantity of solar energy bathing the Earth.

Now my idea has grown into this book. The first eight chapters have gathered many of the ideas that have come to me along the way. You can read the original lectures at A Theory of Peace. The purpose of this chapter is to put all this together into a more or less coherent story. In those days the fall of the Soviet Union kindled hope for the future. The spread of autocracy since then has been disappointing. I like to see the revised theory of peace as a spiritual vaccine against the transmission of dictatorship through the human population.

I introduced my idea as follows:

Peace is not just the absence of war. It is the whole remarkable structure of what exists. If we are to understand peace well enough to bring it within our grasp, we must understand the creative process that brings the world to be.

The source of creation we call god. In this theory of peace I assume that god is not outside the universe, as many have believed, but that that the whole universe itself is god. Since it is god, there for all of us to see, we must eventually find out how it works, and so agree on how the universe creates itself. If we can agree on this, we might find a way to agree on how to structure ourselves into a peaceful society.

My plan remains the same. Get in tune with creation. Drop the imperialists' fantasy that their dream of heaven rules.

I chose mathematics for the language of theology because a) it is the language of physics; b) it has an infinite vocabulary, the numbers, particularly the transfinite numbers, which enable us to approach the size of god; c) it has simple well known logical syntax; and d) it loses nothing in translation.

The key ingredient in my theory in those days was Cantor's theory of transfinite numbers. The idea was summarized at the end of lecture 4:

We fight because there is not enough to go around. One approach to life is that it is only possible to get more by taking it from somebody else. This is often true, but it is not necessarily true.

Our universe in infinite and creative. What I hope to show is that is possible in principle to deploy our resources to make certain that the needs of every person are met. There will then be no need to use violence to deprive one another of the necessities of life.

Georg Cantor's generation of the transfinite numbers shows how a large spaces of variation can be generated by ordering relatively small spaces of discrete elements (represented by the natural numbers).

I understood the transfinite numbers to be generated by permutation, so that each subsequent number n + 1n! is the cardinal of the permutation group of all the elements of the previous number.

Then

The basic idea of counting is the notion of adding one. Since the order is generated by counting, the order must be generated by adding one. Once you know how to add one, the mathematical world is your oyster.

Now enter George Cantor. Cantor transformed the simple notion of adding one into something very much richer, the theory of transfinite numbers. Cantor's theorem can be stated very succinctly: Any symbol, even an infinite one, necessarily generates a distinct new symbol which possesses a greater degree of infinity.

This applies to any symbol. Therefore, like adding one, it is a process that has no end. Like counting, it produces an ordered sequence of symbols, since each transfinite symbol contains all the transfinite symbols which proceed it. Since the new symbol is also distinct from all the symbols that precede it, it must be greater than them. From this point of view the transfinite symbols are just like the natural numbers.

The special property of transfinite symbols is that each succeeding symbol contains all possible interpretations of the symbol preceding it. The transfinite symbols can therefore be seen as the raw material for transformation. Each transfinite symbol contains all possible transformations of the symbol before it. . . . .

Solving a problem seems to be a matter of transformation. We have a problem when we find two symbols that do not appear to fit together. The solution to the problem is to find a new space in which they do fit, that is a transformation. Sometimes it takes a long time to find the translation. Some problems have a very long history.

What Cantor has done is show that in intelligence terms, adding one is exactly the same as solving whatever problem you have before you at this very moment. Cantor's theory comprehends the two extremes of existence. At one end, it is just counting. At the other end, it is life.

Mathematics is essentially formal and static. It comes to life in the minds of mathematicians (6.3). From a mathematical point of view, computation is also formal and static, but we imagine it as a process. Turing modelled his machine on the work of a human computer working their way step by step through a problem like multiplying two big numbers. We know that there are just as many different Turing machines as there are natural numbers, 0. We can establish a one-to one correspondence between the natural numbers and construct transfinite computer networks by exact analogy with the construction of permutations of natural numbers, stringing turing machines together so the output of one is the input of the next (5.8-9).

The problem we are faced with is mutual assured destruction. East and West cannot fit together. They need to learn how to communicate, which means we need a new space, a transformation. This transformation I call the theology (or theory) of peace.

Mutual assured destruction has not gone away. If anything the situation is worse since there are still thousands of nuclear weapons poised to launch on warning. Brown, Khanna & Perry: 5 Steps for the Next President to Head off a Nuclear Catastrophe

The nuclear problem cannot be solved by war. It must be solved by talk, that is diplomacy. An important class of mathematical theorems are fixed point theorems which establish that there are possible solutions to problems, even if they do not actually demonstrate the solution. They encourage us to look for the needle in the haystack by demonstrating that there is in fact a needle there. I see this theory of peace playing a similar role, showing that we can make peace on Earth, we just have to find how. The fact that something is known to be possible is a decisive step toward making the possibility a reality.

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9.4: Logic: the mechanism of being

We have a strong sense of when things make sense. We use this sense to classify all the information that comes to us from both the world around us and from within ourselves. A lot of the input makes sense, and we can take a chance on accepting it uncritically. It fits our experience of normal input.

Other input is more problematic. On the road, on a misty night, I have been confused about the direction of the road. A false decision might have lead to an accident, injury, delay, expense and other evils. The only option was to slow down until I got closer and things become clear.

The test for sense is consistency. I was confused on that foggy night because elements were mutually inconsistent. There were roadworks in the vicinity and a detour. Some of the information I received seemed to say that the road curved left, some of it said that it curved right. I do not remember the details. Whatever it was the perceived inconsistency slowed me down.

Aristotle was one of the first scientists to write extensively about logic and his work, known as the Organon endures to this day. From a modern point of view, Aristotle's methods are not wrong but they have been replaced by more powerful methods, culminating in the theory of computation. Beginning with Leibniz and George Boole, logic became formalized branch of mathematics. This opened the way to the design of computing machinery based on the binary system of symbolism. Robin Smith (Stanford Encyclopedia of Philosophy): Aristotle's Logic, Organon - Wikipedia, Whitehead & Russell Principia Mathematica

Modern mathematical physics is a heavy user of the continuous mathematics of differential and integral calculus. The simplest representation of the continuum is a Euclidean line whose points are indexed by the real numbers. We represent space and time by continuous variables. Even though everything we observe is particulate, from galaxies through trees to atoms, many believe that the underlying processes that explain the behaviour of discrete objects are continuous. This dichotomy became particularly acute when quantum physics led us to realise that all action in the universe is quantized. There is a minimum indivisible quantum of action whose size in spacetime is measured by Planck's quantum of action

Here we guess that we must reject the fictitious structure of mathematical continuity, and replace our ideas of geometric continuity with logical continuity. Geometrical continuity makes sense because it looks continuous. This continuity is an illusion, however, arising from the exceedingly small size of the quantum of action. Logical continuity makes better sense to us because it is our natural way of argument. Mathematically, logical continuity is embodied in both imaginary formal and actual physical computing machinery.

Traditionally, physics deals with the material world and metaphysics with the psychological world. Here the introduction of logical continuity as an approach to understanding the world unites physics and psychology. The network structure of our minds, to be found in our central nervous systems, is an instance of the network structure we use to describe the world. This opens the way to thinking of the Universe as a mind. On the current hypothesis, the observable fixed points of the Universe are revelations of the mind of god. Davies: The Mind of God: Science and the Search for Ultimate Meaning

The first step in the theoretical journey from the initial singularity to the present state of the world is the mathematical theory of fixed points. Insofar as god is pure dynamism, a closed system, sufficient unto itself, we expect to find fixed points in it. These points are part of the dynamics, but they do not move. We identify these fixed points with the stable systems in the Universe. Some such systems, like myself, have limited lifetimes, others, like protons, are believed to last for ever or almost ever. Fixed point theorem - Wikipedia

Fixed point theorems are very useful in mathematics because they establish that there are solutions to certain problems, even though those solutions are still unknown. One we know that there really is a needle in the haystack, we can start to look for it with some hope of finding it. John L. Casti: Five Golden Rules: Great Theories of 20th-Century Mathematics - and Why They Matter

The hypothesis that the Universe is divine means that everything we sense is a message from god, the Sun, the flowers, the wind, our baby's smile and their tantrums too, everything. These fixed points in the divine dynamics are things that stay still long enough for us to read them. We have been studying these things for a long time and we have a pretty good idea how at least some of them work. We know why it rains, why there are winds, how sunshine makes things grow and a lot more.

The fixed points that we observe in the Universe are the input to all knowledge, including science. We see them as revelation of God, similar to but much more comprehensive than the revelations recorded in ancient texts. The question, then, is how do they all fit together? Our first principle is that because of its dynamic unity god is self consistent. We therefore expect that everything we learn about the fixed points of the Universe will ultimately fit into one coherent picture. We still find ourselves some distance from a complete theory of everything, but we certainly know enough to do a lot of engineering and our understanding is extending to an appreciation of both global ecology and our own spirituality.

All our science is a history of creation. We can only know the past, the future is conjecture. We live in an expanding Universe. The expansion and contraction of space-time are both explained by the general theory of relativity. By thinking of the Universe as a logical rather than a physical entity, we open the way to expanding the space of human psychological existence, showing that there is enough mental room for everyone. There is no need to kill people because they think differently, a key ingredient in religious persecution which has been with us from time immemorial.

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9.5: Heaven (and hell) on Earth
I think I can safely say that nobody understands quantum mechanics. . . . Do not keep saying to yourself, if you can possibly avoid it, 'But how can it be like that?' because you will go 'down the drain' into a blind alley from which nobody has yet escaped. Nobody knows how it can be like that. Richard Feynman: The Character of Physical Law

The everyday world we live in in known to physicists as classical space and time. It is described by the mechanics first formulated in detail by Isaac Newton. In the nineteenth and twentieth centuries it became clear that while classical physics describes things on the human scale, it does not really describe what is going on behind the scenes. To understand that we needed quantum theory to understand the relationship between matter and radiation. An enormous benefit of this new knowledge is that we now know how the Sun works and the intimate role that solar energy plays in the economy of Earth.

The theory of peace proposed here is derived from path the universe has followed since it began. A standard cosmology proposes that it began with a stupendous explosion, the big bang. In the fourteen billion years since then, this universe has developed islands of relatively peaceful gentleness like our planet Earth. True we have wars and cyclones, but these phenomena are as nothing compared to the big bang. We want to understand how the universe evolved from unimaginable violence to the relative peace we now enjoy. This understanding, we hope, will enable us to follow this trajectory further toward sustained and heavenly peace. Big Bang - Wikipedia

The world at all levels is moved by potential, that is possibility. Some people have dreamt of flying since time immemorial. Many no doubt claimed that this was an impossible dream and used stories like the myth of Icarus that suggest that flight is dangerous. The dreamers had evidence, however. They could always point to flying insects and birds. Icarus -Wikipedia

Much of this book is a refutation of the Christian religion that promises its believers an eternity of unlimited pleasure in an afterlife living with a blissful vision of god. Unbelievers like myself point out that when we die we die. At least the dream of flight of flight was supported by evidence. There is be no evidence for eternal life, nor any reason to think it possible. Aquinas, Summa, I II, 3, 8: Does human happiness consist in the vision of the divine essence?

We know of course that peace and happiness are possible because we experience them, at least momentarily. Happiness and pain are ultimately matters of information. From a quantum mechanical point of view the maximum density of information that the universe can carry is immense, measured roughly by one bit of information per quantum of action. This opens a new way for us to think of heaven (and hell) on Earth.

Since we have identified god and the universe all our experience of life is vision of god. Aquinas felt that the vision of god is pure happiness, but on the present hypothesis this is not necessarily so since we experience pain as well as pleasure. The Christian reading of reading of Genesis interprets pain as punishment for original sin. The modern understanding of pain comes from cybernetics: pain is negative feedback, a signal that something is out of order and needs correction.

The point here is that very little in the way of material resources are required to provide heaven pleasures [and hellish pains] and so by careful management we can produce pleasant and peaceful lives for ourselves with a minimum expenditure of resources thus opening immense scope for lightening our footprint on Earth.

Aristotle and Aquinas saw god as an intellectual and spiritual entity. Here we take advantage of the modern understanding of quantum mechanics in terms of information transmission and communication to visualise the mechanism of the universe as mind rather than matter. Nielsen & Chuang: Quantum Computation and Quantum Information

The problem for physicists is that computational processes that drive the universe are invisible. They must work from the visible to the invisible. We guess that these processes are invisible because they are too simple to both do their thing and describe what they are doing to a bystander. The problem is the same for a theologians, particularly those who identify the the universe with god. If we are to know how god works we must know how the universe works, and if we want to know how the universe works we must understand quantum mechanics. Any viable theory of peace which is to be based on the divine nature must take quantum mechanics into account. We have discussed this at length in earlier parts of this book (5.6 sqq).

The basic vectors in Hilbert space are called rays and represent waves of energy, symbolized by kets, written |ψ>. Different basis states are distinguished by their discrete energies which correspond to discrete frequencies according to the formula E = hf. Joseph Fourier discovered that any mathematical function can be represented by a adding together waves of different frequencies, a process called superposition. We can hear superpositions. The sound of an orchestra is a superposition of all the instruments and if we listen closely we can pick out the contributions of each instrument. Fourier transform - Wikipedia

The fourier superposition of all the frequencies represented in a Hilbert space gives us the alphabet of functions from which the universe is constructed. Like a spinning die, this alphabet is invisible, but when two quantum systems meet we get a fixed point in the quantum dynamics which represents a particle or message. The quantum system of the universe is continually creating and annihilating vast numbers of particles which make the world what it is. Our own bodies are enormously complex systems of particles working together to give us life.

The exploitation of quantum theory has led to enormous progress in instrumentation, communication and the miniaturisation of all sorts of scientific, technological and everyday equipment, like smartphones. Through the development of photovoltaic cells quantum theory has also opened up a vast new source of renewable energy, which, added to wind energy (which is also a form of solar energy) is growing at an exponential rate and will very likely eliminate the need for carbon based fuels in the next few decades. This will enable us, in the nick of time, to eliminate the catastrophic temperature increase which is currently threatening all forms of life on Earth. Summer Praetorius: Dawn of the Heliocene

This development will also eliminate the capture of fossil fuel as an excuse for war. The increase in communication made possible by the quantum design of network connected and encrypted hand held electronic devices will also make the exploitation of secrecy and censorship much more difficult for the oppressive authorities whose principle aim is to imprison the human spirit in their tiny worlds under the delusion that they will profit thereby.

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9.6: From Hilbert to Minkowski

The theory of peace is based on the notion that the increase in space is the source of peace, making room for everybody so that we are not led by the zero sum nature of finite resources to kill and oppress one another. By space here I do not mean just conserved resources measured in metres, hectares and litres, but all the creative resources of human life which we inherit from the universe that made us from next to nothing. The identification of the universe with god is an incentive to let our minds expand without limit.

The next step above the quantum layer of the universe is the space and time in which we live our everyday lives. Space and time are the foundation of all our communication and all the memory encoded in matter and radiation, from the cosmic background to particles of all descriptions from fundamental to stars, planets, galaxies and the unlimited forms of life.

Quantum processes are the foundation of the universe. We model them mathematically using interactions between vectors in Hilbert space. We cannot see these vectors, but we understand that they control the behaviour of what we do see, particles moving and interacting in the four dimensional spacetime which we inhabit, Minkowski space. Hilbert space - Wikipedia, Minkowski space - Wikipedia

Hilbert space is a vector space analogous to the ordinary Euclidean space we live in, but with important differences.

First, a Hilbert space may have any number of dimensions, not just 3.

Second, Hilbert space uses complex numbers to represent the most salient feature of this quantum world: it is in perpetual motion. The basic quantum formula is f = E/ h where f is the frequency of the motion, which we usually imagine as a wave, E is the energy of the system of interest and h is Planck's constant. Planck's constant is a very tiny number which sets the scale for quantum events. Even the tiniest visible classical motion, like the twitch of a bacterial flagellum, involves trillions of quanta of action. A truly enormous amount of activity underlies events in our classical world.

The third feature of quantum mechanics is that it is very simple. f = E/ h is a linear function. Linear functions are the simplest there are. Quantum mechanics describes the simplest level of structure in the universe. Linearity - Wikipedia

The fourth feature of quantum mechanics is that it is symmetrical with respect to complexity. It works the same way in complex system as it does in a simple system. Hilbert space which may have any number of dimensions. What we learn about the properties of two dimensional Hilbert space applies to any space of higher dimension.

The standard approach in physics is to take space-time as given and use it as the mathematical domain for quantum theory, somehow mapping Hilbert space and and the state vectors of quantum mechanics onto space time. This approach provides no explanation of how space-time comes into existence from the initial singularity. The formation of back holes predicted by general relativity envisages the destruction of space time by a process that brings all geodesics in 4-space to an end, leaving us with no space-time but (perhaps) the infinitely dense structureless bubble of energy. One reason for this rather bizarre scenario is that it has been found impossible to develop a quantum theory of gravitation which might explain the quantum mechanical origin of space. Initial singularity - Wikipedia

The ancient theologians imagined that the one god split into three persons, the Father and the Son whose love from one another is the Holy Spirit. Here we follow the same path. The initial singularity is state of pure action like the classical god. It is an eternal entity with an unbounded potential to create. Its first step splits into quanta of the two forms of energy we call potential and kinetic. We assume these to be mirror images of one another whose sum is zero. These interact with one another rather like the potential and kinetic energy represented by a pendulum, an arrangement physicists call a harmonic oscillator. These oscillators represent a random spectrum of frequencies and energies ranging, like the natural numbers, from 1 to 0. Different energies represent different basis vectors of a Hilbert space, the next layer structure in universe after the initial singularity.

At this point we have no space or momentum, only time and energy. The traditional god is said to have created the world out of nothing. Here, in contrast, we see the universe emerging within god themself. This creativity we understand to be psychological, where the universe, like the writer of a book, assembles existing words, sentences and situations into a new story. The task here is to see how we might assemble time and energy into space-time. In other words we wish to reproduce in our minds the insight that produced space-time in the mind of god. Catholic Catechism: God creates out of nothing

I understand the driving force in the mind of god to be the same as the driving force in my mind, what we might call the entropic potential, formalized in Cantor's theory of transfinite numbers. We may define space logically as the arrangement which enables the simultaneous existence of both p and not-p. Space enables an increase in the count of states, that is entropy. There can be any number of not-ps corresponding to any p. We contrast this with energy/time which requires time division multiplexing: one state must be annihilated to allow another to be created.

We understand the invisible processes of quantum theory to be made visible by communication. Two complementary quantum systems come together to momentarily halt the invisible quantum motion to give us a fixed point, an observable result, represented by particles in classical space-time.

Since the initial singularity is structureless it has no power of control. The best it can do is create random situations. It is a source of variation in the evolutionary process.

Here we introduce the cybernetic principle of requisite variety which tells us that while simple system cannot control a complex one, complex systems can control simple ones. The layered structure of the universe builds complex systems out of simple ones. These complex systems require the simple foundations to maintain their existence, and so their continued existence requires that they look after their foundations. Variety (cybernetics) - Wikipedia

This bootstrapping approach to creation applies at all levels in the the universal network. We find that human communities fail if they cannot establish and maintain a constitutional structure which motivates their members to work together for their common good.

Innovations in the future have the power to control the past. The future always has an element of uncertainty since it is at the edge of control. It can reveal new and unexpected things. Some of these things can reproduce themselves and become more permanent. The most powerful future provisions for control are the emergence of new spaces. The most important of these is classical space-time itself which acts as an operating system for the classical universe, taking care of memory and communication.

This idea may explain the metric structure of Minkowski space. In the layer of the universe where these is no space all interactions are by contact. One of the features of the layered structure is that all the features of the lower layers are preserved as symmetries in the higher layers, albeit perhaps transformed. The emergence of space honours this requirement by the appearance of null geodesics which maintain contact interactions between spatially separated domains. For instance an atom emits a photon near the origin of the universe which is observed 14 billion years later as cosmic background radiation. This photon carries a fixed quantum state across the universe for us to observe it 14 billion years later. In communication terms it acts as a lossless codec. The space-time interval between the emission and the absorption of a photon is zero.

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9.7: General relativity

We are setting out to build a theory of peace on our understanding of the development of the universe. The universe may have evolved from the most tremendous and violent explosion imaginable to the relatively gentle and peaceful planet on which we live. We are searching this history for clues to promoting peace and eliminating violence.

Albert Einstein's general theory of relativity opened our eyes to the true size and magnificence of the universe. It also opened our minds to the idea that the universe itself is quite large and powerful enough to play all the roles traditionally attributed to gods. If we live in god, it is no longer the mysterious other postulated by traditional religions, but open before our eyes. This gives us the opportunity to expand our minds to meet the mind of god. Universe - Wikipedia.

We have been constructing the universe in layers, beginning with the initial singularity, moving to quantum mechanics, then to flat space-time. Our next step is to follow Einstein looking for insight into the creation of the energetic and dynamic curved space-time of the whole universe. This space-time is described by the general theory of relativity. This classical theory describes the overall structure of space-time. It shows that this structure is self consistent, and given the assumptions of classical dynamics, perhaps the only possible structure for a consistent space-time. It has shown itself to date to be consistent with observation. Because it is a classical theory however, it does not explain how this system was created or how it works and it has proved impossible so far to create a quantum theory of gravitation. General relativity - Wikipedia

Einstein began his study of relativity in 1905 with a paper on the role of the speed of light in our knowledge and understanding of space-time: On the electrodynamics of moving bodies. This paper gave us the special theory of relativity which completely revises our view of space and time. Classical physics saw space and time as distinct entities, completely independent of one another. Einstein merged them into one picture which has been given a clear mathematical expression by Herman Minkowski. Albert Einstein: On the Electrodynamics of Moving Bodies

A common everyday experience of relativity occurs in freeway traffic. No matter how fast we are all traveling, the vehicles in the next lane appear to be at rest if their speed is the same as ours. Einstein wondered what it would be like to travel alongside a light beam

Maxwell described light as an electromagnetic phenomenon and his equations showed that the properties of space require that it travels at a particular speed, c, the the speed of light. Einstein realized that that this meant that even if he was travelling beside it at the speed of light the light beam would not look stationary like the car in the next lane, but would still appear to be moving at the speed of light. This is the fundamental principle of the special theory. No matter what the speed of its source, light always appears to travel at the same speed. For special relativity, the velocity of light is a fixed local property of space-time. Walter Isaacson: The Light Beam Rider

This simple observation has profound implications for the connection between space and time. We are already quite familiar with this connection at everyday speeds. It takes time to travel through space. If you want to be in time for distant appointment, you must allow travel time. The calculation here is easy. If you have to go 4 kilometres and you can walk 4 kilometres per hour, you have to allow an hour. Near the velocity of light, however, the requirement that the velocity of light always looks the same means that the relationship between distance and time is more complex, expressed mathematically as the Lorentz transformation. Lorentz transformation - Wikipedia

The effect of the Lorentz transformation is to make times appear longer and distances appear shorter when we observe things moving at high speed relative to ourselves. The extreme effect of this transformation is that when we look at a photon (a particle of light) it appears to have no length in the direction of motion and its time is standing still.

Einstein introduced two elements into the special theory which have since become common to to many theories: a symmetry and a transformation. The symmetry of the special theory is that every observer sees the same laws of physics in their own inertial frame. The Lorentz transformation enables an observer in one frame to compute how the laws of physics will look in another frame in relative motion.

Lorentz transformations connect space and time for bodies whose motion obeys Newton's first law: A body at rest remains at rest and a body in motion continues to move in a straight line unless it is acted upon by a force. Einstein's next task was to find the transformation that connected bodies in accelerated motion. He began from two points.

The first has become known as the principal of equivalence: the effects of gravitation are identical to the effect of acceleration. The gravitational force that accelerates us toward Earth when we are falling is identical to the force we feel in a vehicle taking a corner at high speed.

The second, which Einstein called the happiest thought of his life, was the realization that in free fall we do not feel our own weight. Free fall cancels out the experience of force so that we feel as though we are in inertial motion. The inhabitants of the space station are weightless, freely falling toward Earth. They do not come down, however, because of their high orbital speed so they circle Earth at a constant distance. Free fall in a gravitational field thus provides a standpoint to observe the field. We detect the field by comparing the motion of two freely falling bodies, like the Earth and a satellite or the Earth and the Moon.

As in special relativity, the laws of physics are the same for every observer in their own inertial frame. What has changed is the transformation necessary to compare physics in in inertial frames accelerating with respect to one another because they are in a gravitational field.

Almost as soon as it was conceived Einstein was able to use his theory to solve an old astronomical problem known as the precession of the perihelion of the orbit of the planet Mercury. Tests of general relativity - Wikipedia

It took Einstein a few years to understand the gravitational transformation, but the result provided us with equations which describe the universe as a whole and form one foundation of modern cosmology. The other foundation is particle physics, beginning with fundamental particles and working from there to the construction all the material bodies in the universe including stars, planets and ourselves.

More generally, Einstein's approach to physics as a study of symmetries and transformations has now become routine, particularly in the study of fundamental particles which has preoccupied physics for most of the last century. Wolfgang Pauli, one of the first to understand the general relativity, wrote:

I consider the theory of relativity to be an example showing how a fundamental scientific discovery sometimes, even against the resistance of its creator, gives birth to further fruitful developments, following their own autonomous course. Wolfgang Pauli: Theory of Relativity

Einstein's approach to science based on symmetries and transformations, like quantum mechanics and the layered network model, applies at all scales. The foundation of all human relationships is human symmetry. We are all in principle precisely equal. Obviously this is not the case in reality. Powerful people have exploited weaker people since time immemorial, but we know in our hearts this is unfair. The cure to this unfairness is to be found in the transformations that relate people to one another. This essential transformation is found in Christianity and many other religions and social algorithms: love you neighbour as yourself; do to others as you would have them do to you. The universe works because, as physics demonstrates, the fundamental particles, atoms, planets and stars respect the symmetries and transformations that bind the universe together. The hypothesis here is that peace would result if fair symmetries and transformations were to be implemented in human space.

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9.8: Claude Shannon: the mathematics of selection

The Cantor theory shows us that there is no bound to the creative power of order. Given that Cantor's proof is reliable, the existence of a largest set is self-contradictory. The size of the Cantor universe also introduces incompleteness and incomputability into mathematics. The theory of communication tells us that computability places a bound on communication, since error free communication requires computable encoding and decoding of messages. We assume that uncontrolled events are random, and so we are not surprised to find randomness and uncertainty in the world we inhabit. Cantor's paradox - Wikipedia

Evolution by natural selection picks out the individuals that can reproduce themselves from the transfinite variety of variations. Reproduction is a definite complex process which must be executed without error if it is to succeed. This requires error free communication between the subroutines which form part of the network of reproductive processes. In other words, only organisms whose life processes are (at least occasionally) complete and computable can reproduce.

Claude Shannon's mathematical theory of communication establishes the foundations for error free communication. Shannon proved that provided we adjust our speed of transmission, we can transmit information over a noisy channel with any degree of certainty we desire. Claude Shannon: Communication in the Presence of Noise

Shannon's work also tells us that we can construct more secure messages by combining symbols into larger symbols. Large symbols can be made more durable that their components by careful coding. If one symbol drops out, the information it was carrying can be deduced from the remaining symbols.

Shannon showed that if the coding is right a message can get through with absolute certainty provided the death rate of the symbols carrying it is not one hundred per cent. Plants know this. They dispatch billions of pollen grains into the world certain that some will get through to an egg and carry on their life. The only price we must pay is that communication will be slow and expensive.

The theory of coding suggests one reason why life forms become more and more complex as evolution progresses. A complex organism is in effect a big block of code. It is therefore more efficient in its use of the communication channel that joins its past to its future. It is able to, some degree, correct its own errors.This enables it to bring down the error rate in its reproduction and so become more fit to survive. I began as a newborn baby with a relatively error free body in very good working order. Now, 75 years later, errors are beginning to set in and sometime in the next twenty or thirty years I will encounter a fatal error and die.

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9.9: Beating noise: complexification

Noise is the enemy of error free communication. It arises partly because there are many uncontrolled variations possible in the world, and partly because what is a signal for one pair of sources may be noise for another, and they may interfere with one another. If the kids are playing a loud game, it may be hard for the adults to talk. There are two ways to deal with noise. One is to try to block it out; the other is to use the communication methods discussed in the previous section that prevent the errors that noise can cause. Here we are interested in the blocking approach.

The fundamental particles of the Universe are in perpetual motion. One measure of the rate of this motion is temperature. Each moving particle has a certain amount of energy. The temperature of a body is proportional to the average energy of its constituent particles. Some imagine that the Universe began as a single particle of (nearly) infinite energy, the initial singularity. Although thermodynamic temperature is the average energy of a very large number of particles, we might abuse the term a little and say that the temperature of the initial singularity might be (nearly) infinite: it may contain all the energy of the Universe.

As the number of particles in the Universe grows the energy is shared between them and the temperature of falls, the overall noise level goes down. As the temperature falls the interactions between particles become less violent. When the Universe was about 400 000 years old things became quiet enough for electrons to begin sticking to nuclei to form atoms. The Universe became transparent to light. We still see that light, now stretched by the expansion of the Universe to become the cosmic background radiation. Chronology of the universe - Wikipedia

In 1827 Robert Brown noticed that tiny particles in water followed a jerky path which he found had nothing to do with life. Atoms and molecules are very small compared to any particle of visible size, and they move very quickly. In water at room temperature, molecules move at about 600 metes per second, 2000 kilometres per hour. A single water molecule striking a Brownian particle, a hundredth of a millimetre in diameter, even at this speed, will have an imperceptible effect because the particle weights about a billion times more than the molecule. The Brownian effect lies, instead, in the fluctuations in the number and velocity of molecules hitting it from all sides. Einstein was able to use this information to compute the number and size of atoms, a result that convinced many people of their existence.

The important points is that the mass of the Brownian particle did much to 'quieten' the noise of the atoms. This same phenomenon is very important in the physiology of life. Many of the molecules of life are proteins. Protein molecules are very large, often many thousands of times larger than water molecules. By their mass they calm things down within the cell and increase the probability of metabolic reactions following the desired path. Ron Milo & Ron Philips: How big is the average protein?

Blocking noise, then, comes down to decreasing temperature and increasing mass. We increase mass by linking more particles together, forming large objects or bigger societies, both more resistant to shocks. This is the policy behind forming unions and uniting nations: another ancient truism: united we stand, divided we fall.

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9.10: Noosphere: the mind cloud

Union is beneficial but it is not necessarily easy. The prerequisite to unity is a common point of view. The cells in my body can cooperate because they share the same genome and the same communication protocols. From a biological point of view, we are one species, all human, because we share the human genome. The roots of political an social divisions lie in our minds. Like our genes, our mental structures are passed from generation to generation. On the whole our genes are relatively stable, so that all members of our species are able to breed with one another. Our minds are much more fluid, however, and it is very rare for any two people to find that they share all their opinions. Here we find a radical impediments to peace which may initially derive from economic questions of sharing and survival, but tend to take on lives of their own when they extend to gender, race and religion so that a disruptive partisan spirit often arises between groups of people.

As we explained in chapter 5, bonding is established and maintained by communication. Communication is made possible by a shared protocol or language. Theology is, or should be, the universal protocol, the social equivalent of gravitation. In the earlier chapters of this book we have modelled the construction of the world from the classical god of absolute simplicity to the enormously complex world we inhabit. We have done this layer by layer starting with the fundamental particles and working toward a vision of the whole. This model is founded on the mathematical theory that predicts the existence of fixed points in bounded dynamic systems. We understand the Universe to be bounded by consistency. Actual contradictions cannot exist. They are naturally annihilated

From the point of view of human society, and therefore of peace and prosperity, the most important part of this model is what we call the human layer and the layers that are formed from humanity, that is the social and political layers that bind groups of people together. Our actions are determined by our thoughts, and our thoughts are largely determined by our interactions with other people, beginning from conception with our parents and then from the wider community that we encounter after birth. Our minds gradually develop as elements of a network of minds. We are most influenced by the people closest to us, but in the modern highly connected world we are conscious of and influenced by events all over the planet.

The word noosphere was coined by Pierre Teilhard de Chardin to refer to the collective mental state of humanity. From this point of view, it embraces everything that everybody on the planet has learnt from birth and all that they are thinking. Much of this information is stored in human minds, but the noosphere also has 'external memory', the art, literature, technology and all the other physical products of human imagination that have existed with us since our species began. Here we are interested in the relationship between physical space-time and the mental space-time that we each occupy in our local subnetwork of the noosphere. Noosphere - Wikipedia, Teilhard de Chardin: The Phenomenon of Man

The noosphere encompasses a wide range of mentalities, from the relatively dictatorial murderers who would happily destroy everything and everybody if they see some benefit in it for themselves, to those more common and normal people who see that harmonious cooperation holds the best promise for us all. It is fortunate that such people are in the majority, but their task is often not easy. It is the purpose of the theory of peace to find a strong theoretical foundation for cooperative ideas and behaviour.

Our universe in infinite and creative. What I hope to show is that is possible in principle to deploy our resources to make certain that the needs of every person are met. There will then be no need to use violence to deprive one another of the necessities of life.

We live in space and time, but we also live in our minds and our minds are constantly in touch with one another through all our available means from communication from speech to sex to fighting. We call the set of all living systems the biosphere. The biosphere embraces not only living things, but the 'geosphere', the Earth system that sustains them using (mostly) energy from the Sun.

A very important important property of mind is that individual minds can blend seamlessly. They say a camel is an animal designed by a committee. This is not so, but the point of the joke is that committees cannot get things together. This is false, as you will know if you have been on a good committee. When the communication is good, a committee works as one mind, like a good football team or a healthy person.

This property has its dangers - it makes us easy for us to be carried away. A good football team is good if they work as one mind, but we are not so well off when we are confronted by conspiratorial ideologies which rely on false concepts about the nature of the world, or baseless fictions about what other people are thinking and planning. People who believe that atmospheric carbon dioxide concentration is not coupled to global temperature for instance, or those who hold women to be inferior.

From my point of view, the worst of common fictions is the notion that women are inferior. This seems to be closely coupled to sexual and domestic violence. This may not be a majority view in the community, but it remains the official magisterial teaching of the Roman Catholic Church as we have noted in a number of places. Des Cahill and Peter Wilkinson: Child Sexual Abuse in the Catholic Church: An Interpretative Review of the Literature and Public Inquiry Reports, John Paul II (1994): Ordinatio Sacerdotalis, 22 May 1994: On the priestly ordination of women

It is not very clear why the Church has been deficient in sexual matters since its inception. The roots of this problem probably lie in the theological, religious and social traditions that it inherited from its Mediterranean environment. The ancient traditions of stoicism and asceticism fused in the mysticism of the 'Desert Fathers' who contributed much to the moral development of Christianity. My best guess is that it is rooted in the misunderstanding of pain and the doctrine that to please god we should cripple our humanity with the vows of poverty, chastity and obedience. This constraint seems to be a consequence of the doctrine that we are all born sinners. Although the mystical doctrines of baptism and redemption are imagined to have solved this problem the more practical politicians of the inquisition and its successors know that we are just as bad as we ever were and should therefore torture our fallen nature into submission. The story of the Fall in Genesis probably did much to establish the view that women are the root of all evil. Stoicism - Wikipedia, Asceticism - Wikipedia, Desert Fathers - Wikipedia

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9.11: Reality and fantasy: Politics

The transfinite network provides us with a picture of the enormous variety of structures which we and the world can imagine. The whole of our art and culture depends upon our mental ability to imitate this divine creativity, but we must be careful with it. We have seen the dangers of implementing the dreams of a Hitler, a Stalin or a Trump. By now you will realise that I see danger in the dreams of the Fathers of the Catholic Church. These dreams were first recorded in the Bible and then greatly elaborated in the hundreds of books collected in the Patrologia. Jacques Paul Migne: Patrologiae Cursus Completus. Series Graeca, Jacques-Paul Migne: Patrologia Latina Database

The basis of the theory of peace is that castles built on air will eventually collapse. To be stable a system must have roots leading in an unbroken line to god and the initial singularity. We give meaning to this idea by elaborating the layered structure of the Universe from initial creation to the present. Yuval Levin: Taking the Long Way

What is real? A difficult question. Recently we have seen a spate of 'reality' shows on television whose main premise seems to be putting people in difficult situations and watching them react, suffer, enjoy, fail or succeed. Like most of televisual literature this demonstrates that the most interesting thing for most us is watching other people. From fake wrestling to genuine football games, what we like to see is people competing under some sort of pressure. Drama is our favourite cultural food. Lochlan Morrissey: Alternative facts do exist: beliefs, lies and politics

As we have seen with the work of Cantor and mathematicians in general, there is no limit to imagination, even within the bounds of consistency. When we allow for inconsistency as well, as we see in most television programs, the limits are even more limitless and we mostly suspend disbelief, although critical viewers may pick out flaws and the show runners might lose viewers if things get to weird. The makers of science fiction films often strive for a bit of scientific authenticity, but it is hard to get a good plot going without stretching reality at least a little. On the other hand, truth can be stranger than fiction. Although the truth may be highly improbable, it is never completely inconsistent. Over the last few centuries theoretical physicists have had to stretch their imaginations to the limit to keep up with the realities exposed by the experimentalists.

Reality bites. Reality works. Fantasy is fun, but when it comes to serious matters like health, economics, politics, human rights, murder and violence, we need to keep well within the boundaries of reality. Where are these boundaries? We learn a lot about them as children, hurting ourselves, breaking things, making our parents and teachers angry and so on. As life becomes more complex we have to think more carefully about what we do.

Politicians become politicians because they wish to guide the body politic, partly for their own good, possibly for the good of others. They campaign using promises. A common generic political promise is 'when I am elected, I will reduce taxes and improve government services'. Some people might believe this, but others will realize that while reduced taxes limit government spending improved services cost more so the promise is essentially self contradictory. This is a matter of simple arithmetic, but a large industry of lobbyists and spin doctors has grown up over the centuries to spoonfeed such falsehoods from the voting public.

Our dreams and fantasies are grounded by experience and the science that reveals how the world really works. It is no accident that silencing the scientists is high on the agenda of those who wish to deceive us. The essential answer to the problem of peace is natural law which we here equate to divine law. Natural laws, like the laws of physics, are not made by human beings, they are inherent in reality, and must be found. As Canute demonstrated, royal authority is not respected by tides or any other natural law. King Canute and the waves - Wikipedia, John Schwartz: Exxon Misled the Public on Climate Change

Natural laws are the boundaries of the Universe and to transgress them is to step outside the Universe into nothing. The boundaries are themselves nothing. A conservation law tells us that nothing happens. When you balance the books, you final act is to arrive at two numbers which are exactly the same.

Natural laws are the widest possible boundaries. Any authoritarian law, insofar as it is not natural, is an artificial restriction on the nature of the universe. The creative power of the Universe is such that no matter how strong the authority, such an artificial restriction will eventually be broken.

The natural law approach to peace says this: there are certain laws that guarantee peace, where by peace we mean the structure of the Universe. We know some of them, but not all. We know, for instance, that if you do not eat you will die.

Even though we do not know all the natural laws, they are there, like rocks in the ocean. They are self-enforcing, and act whether we are aware of them or not. As we get to know them, one by one, we can exploit them to establish new technologies to make life on earth easier.

What good is such a theory, since will people disobey it anyway?

The advantage, I claim, is that the theory expresses the language of nature. People will disobey it, they can disobey it. Uncontrolled situations allow this. But the conservation laws of the Universe say that eventually the books must be balanced.

One sees this bias in the amount of spiteful comment made on the internet by people hiding behind network anonymity. This, and the total history of human conflict shows us that if we are to have peace, we must work toward complete symmetry in our communications with one another. This is encapsulated on the ancient maxim: Do to others as you would have them do to you.

Christianity, my starting point for identifying the Universe and the divinity, exhorts us to love one another. Loving one another in practice means giving one another space. As we have noted, space contains not just my movements from a to b but all the ensemble of processes that make my life possible: food, shelter, reproduction, friendship and cooperation. New Commandment - Wikipedia

Loving one another is not easy and this is where the creation of space in the noosphere becomes the foundation for peace, by enabling us to keep a respectable distance from one another, depend upon the circumstances of our interaction. As time goes by we are becoming more aware of human rights, of human equality, of the often hidden evils of domestic violence, rape, slavery, sexual harassment and all the other evils engendered by people exploiting their power over others. An important input to peace is the determination of an educated, democratic and practical population to keep their politicians under control. Valerie Dobiesz and Julia Brooks: Its not just O'Reilley and Weinstein: Sexual violence is a 'global pandemic'

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9.12: The noosphere is grounded in the biosphere

You might think you can fly, you may be convinced of it under the influence of some drug, but when you jump off the cliff you will soon see that you were wrong. Reality bites again, just as it does when I hit my finger with a hammer or drop a brick on my toe, or run into a truck.

The real world makes itself felt when we run up against it. In the case of a motor vehicle hitting a tree, the results are almost instantaneous. On the other hand, at the level of national government, a bad policy may take a long time to reveal itself. Wealthy people have promoted the economic creed that if we let the rich get richer their spending and investment will make the poor rich too. Centuries of experience tell us that this does not happen. The trickle down fantasy does not correspond to reality. The rich naturally hang on to their wealth. Trickle-down economics - Wikipedia

Instead, we need to remove the barriers between the rich and the powerful and the poor and powerless. A well managed democracy is the key to this removal, but we know that although the enrolment and voting may be perfect, straight truth is rather less important in political campaigns than the fantastic visions projected by the candidates. Large amounts of money enable candidates to buy campaign workers, advertising and spin. Huge amounts of money can often buy an election through the sheer weight of lies and propaganda. We see this process working vividly all around the world.

Another principal approach to perverting the democratic process is the establishment of a a secret system to protect the regime comprising spies, informants, murderers, wiretappers, together with corrupt police, lawyers, courts, and all the other machinery of the police state. Although we are inclined to associate this mechanism with autocratic regimes, all governments use them to some extent under the guise of national security, protecting their status from exposure and revision.

Autocratic regimes are essentially the enemies of their people. History suggests that their principal aim is to make their regimes 'coup proof' so that they they continue to enjoy political power and the positive feedback of wealth and more power that their behaviour provides.

The key to fixing the defects in government lies in human rights. We are all identically human, a condition we call human symmetry. Complete symmetry means complete fairness, a perfectly level playing field so that no human being is disadvantaged by the system of government, or any part of it. This means that we are all equal before the law, that there are no privileges (private laws) that give unfair advantage to certain groups (like rich white males) and that everybody has equal access to justice.

Modern democratic societies claim to live under the rule of law. This rule has two principles: first that we are all equal before the law. This rule is supplemented with a precautionary principle: the presumption of innocence. Guilt, in a criminal matter, requires proofs that exclude reasonable doubt. The second is the law be established by the consent of the people. This rule also comes with a precautionary principle: legislation that clearly flies in the face of reality must be excluded. This is usually achieved by a parliament of elected representatives who formulate and debate potential new laws and take advice from experts on matters of fact. The members of parliament can lose their seats in elections if the laws they develop displease a sufficient proportion of the population.

We also recognize the existence of natural law. Dropped objects fall down. If we cannot breathe and eat we die. The traditional belief is that these laws were established by the creator who designed and constructed the Universe in a manner described in Genesis. As we have explained, this idea is still substantially true. The principal difference from Genesis is that creation has worked by evolution and the present state of the Universe has taken fourteen billion years to be realized.

It is the task of science to ground the noosphere in the biosphere. We grow up in a mental environment which contains large amounts of fiction. It is not easy to distinguish fiction from reality: it must be tested, and this is the task of empirical science. What I am trying to do is build a model which will help us to understand the world. The stability of our structures comes from the fixed points in the materials and designs we use. We all need to know the reality of the world if we are to live wisely.

The universe is dynamic, but many people are wary of change, so that when the scientists tell us that something is happening, there will be some who lack the courage to face reality and want to deny the scientific findings. Many of those who profit from the status quo are also prepared to invest heavily in denial. Clare Foran: Donald Trump and the Triumph of Climate-Change Denial

We must overcome this resistance, however, if we are to survive. It is clear now that we are not just another species, but that we have a very significant input into the dynamics of the biosphere we depend upon for our existence. It is very clear that we must reduce our footprint on Earth. It is in our interest to preserve the systems upon which we rely for our existence.

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13: Broken symmetry creates space

The more space we have to live, the easier it is for us to get along. This is true in physical space and economic space, but its most important venue is the mental space in which we all live, the noosphere. A large proportion of the disputes in the world are not so much about physical issues like food, shelter, mates and property but about ideas, opinions and feelings.

Symmetries enable us to understand many things through one idea. Up to a point, if you have seen one horse, you have seen them all. On the other hand, every horse is different. In the physical world 'horse symmetry' is broken by this difference. Human symmetry has the same property. We are all equally human, but we are all different. From a formal point of view we are all different points in human space and our differences make the space bigger.

The meaning of a point in a space depends strongly on the size of the space. From this idea we can conclude that allowing people the freedom to be themselves makes us all richer and more meaningful.

If we respect our human symmetry there is plenty of room for discussion about different ideas. In many cases, however, human communities will ostracise or kill people who do not share similar views. This is particularly common in corporate entities like political parties, businesses and religions. If you are not one of us, you are out. This company only admits company people.

This was my experience wth the Catholic Church. I was found not to be a believer, so I had to go. I got off lightly really, only losing my job and my way of life. It took me a few decades to reconstruct, but I am happy now. In more extreme situations where a corporation is desperate to maintain its ideological purity it may be prepared to kill heretics in order to encourage believers. Autocratic governments, gangs and religious extremists still follow this prescription. Christian churches have given up on overt murder, but there are still many other ways to disempower people.

The problem in noetic space, therefore, appears to be extremism, whose principal principle seems to be that people who are different in race, gender or belief must die or at least be thrown out. Here we have a case of a higher level destroying elements of the level beneath it, ultimately to its own detriment. This has been a feature of the more extreme groups for as long as we have written records. One of the first steps in the expansion of noetic space is to eliminate killing and revenge killing.

We are all different, and we all have different desires and needs. To maintain peace, we need to be tolerant of one another. The creativity of the world (which includes our minds) means that there can be as many different views on any subject as there are people. Space is a venue for both diversity and tolerance. In the simple area of mechanical engineering, we need tolerance in bearings, gears and and other parts so that that they can move relative to one another. In computing machinery, we need tolerance in voltages to prevent error, so we establish a big gap between voltages that represent 0 and voltages that represent 1. High population densities emphasize the difficulties of getting along with one another. We overcome these difficulties by putting ourselves in relatively soundproof 'apartments' on the principle that good fences make good neighbours. Logic level - Wikipedia

Here we are working on the assumption that the world is god. This means that natural law is the same as divine law. From this point of view, the Universe does not need a creator outside, it is itself a manifestation of nature of god. In Chapter 3 we summarized what we know about the origins of the world we live in now.

We have modelled this process of emergence of the world from god using a layered computer network. Beginning with the absolutely simple god of pure action, layer after layer of fixed points emerge, each layer building on the layer beneath it and curating this layer in order to maintain its own existence.

The fundamental symmetry in the divine universe is the divinity itself, whose dynamic simplicity does not change. It is effectively eternal. We associate the emergence of fixed points with the breaking of symmetries. The first break in the divine symmetry appears to be the transition from pure act to the duality of energy and time. The process associated with energy and time is quantum mechanics, which we can see as the software of the second layer in the universal network.

The observable Universe is in effect mathematics incarnate. But mathematics in the flesh cannot be just the hard edged perfection that we find in formal mathematical monographs. Mathematics in its physical realisation must obey all of its own theorems otherwise it would be inconsistent. It must respect Gödel's theory, which says that there are some decisions that cannot be made in principle because there is not enough data, and Turing's theory, which says that there are some decisions which can never be made in practice because there is not enough computing power. From the very hardness of mathematics springs an equal softness. People hold out the hope that quantum computation will cure these problems, but it is obvious that quantum computations in nature leaves a lot of uncertainty.

Jesus of Nazareth ushered in an era of human development by pointing out that there is but one human symmetry: we are all neighbours. We can identify neighbourhood with consistency, hate with inconsistency. We have now delved deep enough into the foundations of mathematics and physics, sciences founded on consistency, to see what he was talking about from a new perspective. We are all neighbours.

Our species is defined by human DNA. This is the formal foundation of human symmetry and equality. The practical foundation is that we can reproduce ourselves and there are no biological constraints on our interbreeding. This symmetry is associated with the conservation of humanity. We have already noticed that conservation laws are nested. Conservation of humanity embraces all the conservation laws that go to make up humanity.

This fact immediately writes all the symmetries of nature into our understanding of ourselves. It also tells us that if we want to conserve ourselves, we have to conserve all those things which support us, plants, animals, air, ocean and sunlight. We will only fully understand humanity if we see that all human beings are elements of the human symmetry group, and all places in the group are filled by human beings.

First, human beings are equal. We all partake identically in the symmetry defined by the human group. The elements of a group all participate in the full life of the group. If any element is missing, the integrity of the group is destroyed and the group symmetry demands that it be replaced.

Second, we are all free. The only restraint that a group structure puts on its elements is that when they interact with one another, the result is also in the group. This means that the group law ays that we may all communicate with one another in any way that is human, and the result will be human. This means that while we are all the same, we are also all different, independent and free to act in our own way. The only actions that are forbidden are those that takes us outside human symmetry by killing and violence.

Complete human symmetry is just another expression of the observation that the universe embraces all consistent possibilities. Human symmetry expresses the whole of human possibility. Any restriction on this possibility is unnatural, and will eventually lead to violence.

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14: Democracy: political dynamics

Autocratic regimes are essentially enemies of their people. Their principal task of an autocracy is to make itself 'coup proof ', using propaganda to control the population and picking off the dissidents. This task must be performed successfully if the autocrats are to maintain the positive flow of money and power that they extract from their population, who are effectively slaves. Autocrats think in terms of stability, their stability. They need their thousand year reich because it is not safe to get off the tiger.

Motion is essential to peace and the control of pain. Like the best of academic investigations, you can make this observation at work or even in bed. If we lie still in one position for too long it becomes uncomfortable, and we roll over. We do this throughout our sleep, often unconsciously. Apart from anything else, this movement maintains the flow of our blood to all parts of our body. We get pins and needles and go numb is the supply is shut down for too long.

The essence of democracy is enable the population, the true source of power, to control the use the executive power in their community. It provides for political motion, an interplay between the population and the executive which modifies the behaviour of both. It also serves as an occupational health an safety measure for the ruling class. In monarchies, the succession often involves civil war and murder. An election is a non violent way to achieve a peaceful succession.

Motion requires tolerance. This is a most important discovery of quantum mechanics: the world can only be consistent if there is uncertainty. The uncertainty lies in the logical leaps that are taken in a computing process. In physics the uncertainty is measured by Planck' quantum of action. In democracy, the uncertainty is represented by the individual votes in elections.

We discussed the ubiquity of language in Chapter 2. The emphasis there was on the universality of language. The Universe is a huge network whose sources speak to one another in a countable infinity of different languages. We noted there that a language is defined by the algorithms used to encode and decode the signals which carry the symbols used by languages. We assume that all readable information is encoded physically.

In a liberal democracy, the media's most essential function is to serve the public interest. This includes providing information so that the public can make informed decisions. In order to do so, journalists must decide what is in the public interest and why.

In a democracy of well educated and informed people, the navigation of the ship of state would enjoy the collective wisdom of the whole population working cooperatively. The chances of getting things right are very much higher than we find in a society that is guided by the knowledge and personality of a single monarch who is probably hostile the people as a consequence of their pursuit of personal power.

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15: An evolutionary burden: the devil

Here we take the view that the quantum of action is real and to be defined logically rather than topologically (6.5). This hypothesis is built from just three axioms:

1. god (the universe) is pure action (entelecheia)
2. pure action is fertile without bound
3. the universe is locally consistent.

To make senes of these axioms we need to put them in some context, the computer network model developed in chapter 5. Pretty everyone agrees that god is infinite, and we now know that the universe is very big. The context we choose to model this vision is a transfinite computer network.

Since we understand god to be everything, subject to no outside constraint, we assume that the only limit on god is internal consistency. Since the divine universe that we see is extended in space and time, we can strengthen to constraint to local consistency. This is also the limit we place on formal mathematics. This limit is marked by the theorems of Gödel and Turing.

From the model point of view, to go outside them is to go into contradiction and nothingness, that is into error and possible evil, a breakdown of peace. By peace we mean here the whole of the World, that is God. The key to peace, from this point of view, is to stay inside the bounds of consistency.

Here we immediately run into trouble. If god is locally consistent with itself we would expect all the parts of god which include us, to be consistent with one another. We might guess that this would rule out wars, natural disasters, and catastrophic cosmological events like the explosion of stars to form supernovas. In the language of classical theology, how do we deal with the problem of evil?

The Scholastics were inclined to define evil as nothing, simply the absence of good, not really a thing in itself. Experience suggests that its much realer than that. This might explain why our forebears usually invented an evil being of some sort or another to explain the bad side of life. The Catholic Church says God lets it happen because he made his creation free, free to be good and bad. The Church takes the view that we are all born guilty, potential allies of Satan. This idea seems completely wrong and its origins seem clear, at least to me. The rules are made by the ruling class. What the ruling class wants is a passive class of workers to make their lives comfortable. By declaring us all to be sinners, they entitle themselves to the right to control us. Catholic Catechism: I §388: Where sin abounded, grace abounded all the more

Classical theology imagines an impassible boundary between the good, omnipotent, omniscient, eternal and loving divinity and the world we inhabit, damaged by sin and full of evil just waiting to happen. My mentor, Thomas Aquinas, finds the root of all sin in pride, the first sin of all. He quotes Isidore of Seville, who says: A man is said to be proud, because he wishes to appear above (super) what he really is. This is the sin attributed to the first of the Angels, Lucifer (Light Bearer) who got above himself and was cast out of Heaven by God. Aquinas, Summa: Is pride the first sin of all.

For Aquinas, a member of the ruling class, the essence of the sin of pride is to have aspirations above one's station. This is what Lucifer did, and Thomas manages to argue that pride was the reason that the first people disobeyed God. The rulers cannot commit the sin of pride because they are already on the top of the heap, there is no station above them. None of this makes much sense in a world ruled by a clear declaration of human rights. In a society that fully implements human rights, there are no high and low stations to be either proud or humble about. We can instead be proud of good things that we have done. Pride is no longer so much a sin as a source of social solidarity.

Since this explanation of evil makes little sense, so we turn to the network model for an answer. We have described the Universe as a layered network beginning with the absolute simplicity of the classical God and building up to the enormous complexity of the world we inhabit. Each layer in this system is more complex than the layer upon which it is built. The cybernetic principle of requisite variety tells us that simple systems cannot control complex ones. If lower layers are to be controlled, they must be controlled by the layers above them. Evil and breaches of the peace arise when lower layers get out of control, either because are no layers above them, or the layers above have become corrupt and lost control. We see this happen for instance in failed nations, where the government becomes infected with a criminal element and governs not for the nation but for itself.

We conduct war by using elements of high energy physical layers to destroy low energy physical layers. An ancient and straightforward way to kill someone is to use an edged weapon to cut a major arteries to cause fatal blood loss. A subtler approach is to use poison to disrupt essential metabolism. Since the invention of explosives destroying people by simply blowing them apart or by cutting them up with bullets and shell fragments has become common. In domestic situations strangulation is common. I all cases of deliberate killing and accidental death and injury the evil arises from the uncontrolled behaviour of lower layers with respect to higher layers.

In all these cases the agent causing the evil is acting naturally. A bullet ploughing through a brain is just doing what bullets do. A speeding vehicle naturally smashes the body when it collides with a pedestrian.

The fact that we are all made of food provides a further illustration of this picture of evil. Although more primitive organisms like bacteria and plants can live on simple chemicals and sunlight, most of them, in the process of evolution, have developed means of obtaining necessary resources by taking them from other organisms, often killing their sources in the process. This becomes a very obvious strategy in the case of animals like ourselves which are often carnivorous. In almost all cases, life is a mixture of good and evil. For the predator successful acquisition of resources is good. For the victim of predation, it is bad.

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16: Education: taming and training ourselves

War is an exceedingly wasteful approach to predation. Very rarely do we eat what we kill and in this era of high explosives military conquest is very likely to destroy most of the resources of the captured territory. My father, a doctor was greatly upset by seeing that the starving enemy against whom he was fighting sometimes cannabilized allied casualties. Cannibalism is no longer acceptable practice, even in war.

Nevertheless the Catholic Church takes the words of Jesus spoken at the last supper literally:

And as they did eat, Jesus took bread, and blessed, and brake it, and gave to them, and said, Take, eat: this is my body. And he took the cup, and when he had given thanks, he gave it to them: and they all drank of it. And he said unto them, This is my blood of the new testament, which is shed for many. (Mark 14:22-24 KJV)
The Catholic Catechism maintains that By the consecration the transubstantiation of the bread and wine into the Body and Blood of Christ is brought about. Under the consecrated species of bread and wine Christ himself, living and glorious, is present in a true, real, and substantial manner: his Body and his Blood, with his soul and his divinity. (§ 1413) Catholic Catechism: The Sacrament of the Eucharist, Sacrosanctum concilium: Constitution on the Sacred Liturgy: 47 sqq. The Most Sacred Mystery of the Eucharist

This dogma raises a serious metaphysical problem. If we are to believe that the body if Jesus is substantially present in bread, we must accept that the connection between substance and accidents in arbitrary. In other words, we cannot learn about reality from the accidental appearances of things. This rejection of the integrity of the world is characteristic of many belief systems that maintain that they have special access to a real world which lies hidden behind the world of appearances.

This obvious error, like the notion that we live eternally or that the gruesome death of Jesus somehow saved us from original sin. These ideas are typical of the delusions that various priesthoods have preached for millennia in order to gain and maintain political power. They constitute a fundamental, entrenched and institutionalised crime against humanity which is built on propagating false hopes of salvation, and begin with the indoctrination of young children (as I once was) in the falsehoods implicit in traditional religion.

Another radical falsehood, of extreme utility to warmongers, is the notion that we can win immediate eternal salvation by martyrdom, that is by sacrificing our lives for belief. This brings us to the central question of this essay. Why, if modern war is so unprofitable and destructive, do the religious establishments of nations maintain that murdering people from other nations is a noble and fitting occupation for young people?

The answer, it seems, lies in the extraordinary versatility of human imagination. This is both our greatest power and our greatest danger.

Aquinas, as we have seen, places the root of all human sin in pride. Priesthoods use pride as a tool to delude young people to take up arms against others who have been designated as evil. In the days, many of these groups of warlords and quasi military formations are described as terrorists, but terrorist doctrine goes much deeper than that, into the hierarchies of the established imperial nations. This system us in effect an self fulfilling property. As long as our rulers (whoever we may be) can convince us that those others are going to come and rape our women and pillage our property, they have a political platform to go to war. The same goes for all the 'other sides' who play the roles of fictitious enemies in political debate.

With this diagnosis, we may ask ourselves how can we saves ourselves from these massive delusions? The answer of course, is to use the scientific method to track reality. The universe has been constructed by exhaustive trial and error over 14 billion year. It is divine and can be trusted.

The major benefit of peace is that it enables us to accumulate the capital goods necessary to increase our productivity and quality of life. Peaceful political developments have enabled us to develop all sorts of science and technology. This is the business motivation for peace which benefits everybody except those who see profit in war.

Unfortunately much of our productivity remains devoted to military violence because peace is yet very far from global. In his farewell address, President Eisenhower warned against the vicious circle he called the military industrial complex. Propaganda from the military establishment is widespread and still succeeds in marketing itself as a noble occupation:

Military hierarchy, cohesion and strong morale can being their own dangers. In October 1843 an officer spoke to a group of his men: 'Most of you will know what it is like when s hundred corpses lie together, when there are five hundred or when there are a thousand. And to have seen this through — apart from exceptional cases of human weakness — to have remained decent, has made us hard and is a page of glory never mentioned and never to be mentioned.' The speaker was Heinrich Himmler, Hitler's devoted lieutenant and the head of the Nazis' own military, the Schutzstaffel or SS, which was responsible for their worst atrocities. Military-industrial complex - Wikipedia, Margaret Macmillan: War: How Conflict Shaped Us, pp 160-161 (link above)

We cannot underestimate the power of political propaganda. Despite President Trump's recent overwhelming loss in the US presidential election, a survey by the Washington Post found that only about 12% of Congressional Republicans were prepared to acknowledge Trump's loss. Paul Kane & Scott Clement: Just 27 congressional Republicans acknowledge Biden's win, Washington Post survey finds

The warlords of the Earth will continue in their old ways as long as there is money to be made, but the force is against them. We have a bigger fear now, our collective survival. The newest evil to be overcome is our impact on our habitat. We face the naive belief, held by many, that they are protected by benevolent gods who will look after us no matter what we do. But the real god is the Universe and the Universe is no great respecter of persons. If you do not fit in you are selected out.

We are trying to see a clear mathematical model of the advantages of cooperation over solipsism, fascism, monarchy and all other manifestations of thought control which tend to reduce the variety and adaptability of the community. We seek the adoption of a church broad enough to represent the full symmetry of humanity. This symmetry is reduced by every act of violence, every error of sexism and racism in the application of human rights.

We think of cooperation as harmonious human interaction. It need not be altruistic. Most cooperatives and corporations are designed to provide an income, if not a fortune, to their members. As Adam Smith noted, one of the effects of cooperation is specialization. Tasks are broken down into units and the units assigned to those best able to execute them.

On the whole, destruction is easier than construction and for many people more emotionally satisfying. We see this at work in political revolutions. Revolutionaries rarely seem to have a workable plan for government after the revolution. Instead, they concentrate on destroying the existing regime hoping that something better will miraculously emerge when they have the power. Generally, however, when they get power they turn into a violent and disorganized rabble which fails the people that trusted them.

Democratic polities have replaced violent revolutions with elections, but we see a similar process. For many, winning an election is simply a cheaper and less violent way of establishing an oligarchy. Hopelessly incompetent governments like that run at present by Donald Trump in the US and his partner Vladimir Putin in Russia can only destroy things, not build them. After their term of office the country will be much worse off than when they began. Their election promises are not fulfilled simply because they did not have the means or intention of fulfilling them.

The cost of violence is at least the cost of repair, not to mention the death and grief that follow, whether the violence arises from a natural force like a cyclone, volcano or earthquake, or a human force like an army, or a government that destroys trust in a community.

Every game has rules and no sport can last if the rules are not clear and fairly applied. It is necessary to have provision for whistle blowing and investigators to investigate alleged breaches of the rules. These are the defined part of the game which define its structure. If you step outside the rules you are not playing the game. You are doing something else. The rules can be written down in a book and enforced by umpires, referees and boards of control.

The other part of the game is the play. Play is the interpretation of the rules. Although the rules are a finite, their interpretation is infinite, and so play within the rules is infinite. It is a free exploration of the space defined by the rules. How we actually explore that space is not and cannot be defined by the rules. They can only tell us when we are out of bounds.

There are times when the rules seem silly and the game becomes boring and repetitious. Then there are moments when the magic sets in and the game becomes something else. These are the moments we play for, but we cannot force them to happen. They are the goals, but they are not effectively attainable. They lie in the realm of the infinite and uncertain.

The magic moments are not effectively attainable, but we can approach them by increasing their probability. On the one hand there is natural ability, something definite that you can be born with. On the other hand there is training and education.

Evil marks the boundaries of our Universe. Trying to break the boundaries brings an automatic penalty: evil. The law of gravity is the prototype of this. It is a very gentle law, most of the time. In many physical systems, the forces due to gravity are tiny compared to the other physical forces operating. On the other hand, falling from a great height is usually fatal.

We explore this link because it is the central invariant axis of the theory of peace presented here. Competition and conflict are built into a system which evolves by natural selection. As Malthus realized, given the reproductive power of living things, population will increase until there are not enough resources to go round. Some must then miss out. For them it is a rational strategy to fight and die in the hope of gaining the resources for survival rather than to passively accept starvation.

This reality is abhorrent to many of us, so instead of limiting our reproduction to fit the available resources, we have developed the technologies to turn more and more of the world's resources to our own use.

Evolution inevitably involves competition of organism against organism. We envisage working toward a world in habited by one global organism, humanity, united through the our common genes, our common dependence on the planet, our common goal of survival. This organisms seeks to lead a divine life on earth by applying applying the best available technology to every single individual, supressing the pride of warlords, dictators, businessmen and all powers that rule contrary to the true nature of the word.

One of the principal features of the classical god is providence. This god is understood to be both omniscient, omnipotent and benevolent toward us. Further, it is eternal, and is so understood to be able to see the whole of space-time in one glance. There are, therefore, no unforeseen consequences for god. Our situation lies somewhere between that of microorganisms and this divinity.

The path to peaceful survival is to learn from science to create technology to explore the alternatives to destroying the Earth's natural capital that makes our lives possible. The mathematical theory suggests that the possibilities of the future are transfinite with respect to the present. We can never explore them all, and so there are some possible structures we will never find. On the other hand we will may hope that we an learn from the past that it is always possible to find consistent structure in the future. A consistent past cannot lead to a dead end in the future.

We are making the discovery that the material world is the spiritual world. Evolution toward complexity is driven by networking and sharing, the two fundamental functions in any cooperative network.

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17: Grace: human organism and superhuman freedom

We are apt to envy the fortunes of the rich and famous, but often they pay a price. They have a security problem which constrains their freedom because there are many people who would like to take what they have. I am an an older white heavily built male living in a relatively peaceful city. I can walk around a night with no fear, but I regularly read of young women being stalked, raped and murdered and many are imprisoned by the fear of this possibility. Youth and beauty are not the only coveted treasures, so we see the landscape dotted with gated communities, security guards, banks, fortresses, prisons, women's refuges, police stations, hospitals and all the other social mechanisms that play the role of our social immune system, identifying and neutralizing predators on peace and freedom.

A central theme of this book is derived from the mathematical theory of information: The meaning of a particular symbol in a space of symbols is measured by the number of symbols in the space. We think of a symbol here not so much as a thing but as an event or operation. In this light, we may think of each of our own lives as a symbol, an event in a space of humanity.

We measure freedom by entropy or variety. Variety is a count of states or symbols. The idea is that the more states a system may occupy, the more freedom it has. So in physics, we speak of degrees of freedom. What is the difference between your shoulder and your elbow? Your shoulder can move your whole arm in two dimensions, up and down, forward and backward, and any combinations of the two. Your elbow, on the other hand, can only move in one dimension bent or straight. The shoulder has more degrees of freedom than the elbow. A similar relationship exists between hips and knees. Each of these degrees of freedom has an infinity of positions.

We may think of the transfinite numbers as a ladder of freedom. We start with the natural numbers which are said to be countably infinite.We can count them, 1, 2, 3, . . . but there is no last number. We can always add another one. Cantor realized, however, that it make sense to talk about the set or collection of all the natural numbers. Since there is no greatest natural number the cardinal of this set cannot be any particular natural number. Instead he invented a new name for this cardinal, 0. We may think of 0 as a symmetry. It is the cardinal of any instance of a set of natural numbers. It embodies, in effect, the freedom implicit in counting.

Cantor found that beyond the infinity of the natural numbers, there is an unlimited spectrum of large infinities, which may be understood to represent even larger degrees of freedom. Here, however, we come to a difficulty. Is a human being freer than a gas? At first sight we are not. In a gas every molecule can move in every direction at any of a wide range of velocities and its position is not fixed, as we learn when we smell scent wafting through still air. The scent molecules, which are moving at close to the speed of sound and bouncing off the air molecules billions of times per second, can nevertheless make their way across a room in less than a minute.

On the other hand, the molecules in my body are specifically localized within my skin, and apart from blood, air and water, most of them are fairly closely confined within their respective cells and tissues. There is no way that one of my toes and its constituent molecules float across a room. Yet I feel that I am freer than air. What needs to be adjusted is our way of counting, and the transfinite network shows us how to do it. The key, as Cantor found, is order.

The Catholic Church believes that both we and our universe are damaged by original sin. Although Jesus was sacrificed by his Father to appease himself for this human crime and the debt is considered to be paid off, the tangible results of our redemption are delayed. Good individuals are believed to go to heaven when they die, and the bad to Hell, but the restoration of the whole system is yet to come 'at the end of time'. Many believe that will be soon and like to interpret current events as pointing to the Apocalypse but the scientific view is that the Earth and the solar system have billions of years of stable life ahead of them, a time so long that it is effectively irrelevant to the present. Catholic Catechism §599 sq. Christ's redemptive death in God's plan of salvation, Timeline of the far future - Wikipedia

From the Church's point of view, the current but invisible effect of Jesus' sacrifice is the availability of grace. Grace is, in the first instance, conferred by baptism which forgives all sin, including original sin, and makes the baptized person a member of the Church. I was baptized, and therefore have standing in the Church. Catholic Catechism §1996: II Grace, Catholic Catechism §1263: The grace of baptism

The picture of grace implicit in the hypothesis developed here differs radically from that proposed by the Catholic Church. First, if the Universe is divine, we are all in god, parts of god and from that point of view in no need of any extra infusion of divinity. There is no evidence for the Fall, and original sin, if anything, is simply a vestige of our evolutionary past. To be branded a sinner is bad for one's self esteem and induces feelings of social ostracism and helplessness, particularly, as in the case of original sin, when the accusation is manifestly unjust, visiting the sins of the parents on the children. On the whole we have adapted to our new 'civilized' way of life, but we retain the imprint of evolution: we will do anything to necessary to survive and reproduce and are quite capable of taking whatever uncivilized short cuts that we think we can get away with.

The social structures of welfare on the one hand and punishment for crime on the other, serve to guide us away from such behaviour. Wars, famine, and other social breakdowns nevertheless reveal what we are capable of and we are constantly reminded of this by theatre, literature, film, and the daily media accounts of atrocities. Christianity imagines an inherently good god and an inherently bad devil, but in fact, as many other cultures realize, good and bad are both elements of the divine.

What does grace mean in the divine world? In the Christian world, grace means a completely unmerited gift from god. It is the same in the divine world. In the broadest sense, it is the gift of existence, which is comes to us, initially, without any activity on our part. Like all forms of life we are conceived and born with no conscious effort, although the whole process of coming to be has evolved in the divine universe over billions of years.

There comes a time in life, however, when, unless we are remarkably privileged, we have to begin to contribute to our own lives by some form of work. In the beginning this contribution may be simply feeding and grooming ourselves, but as we get older we need to find a useful role in the overall system. Such a role gives meaning to our lives and provides us with an income. It is work. Every creature must work for a living.

Many people in the Christian world have been misled by the Book of Genesis. God's punishment of the first people implies that work and pain are punishment for human curiosity. This not so, The structure of the world is created and maintained by work, made possible by the Sun. Pain tells us when we are on the wrong track and need to change course. There is much pain in the world, but it can be dealt with by carefully designed work, the subject of the last chapter of this book.

The principal dividend of peace is freedom. In a free society I can express the full potential of my life, provided only that I do not directly or indirectly deprive other people of their their freedom. This is grace. In the early days of human life our freedom was curtailed by all the evils that flesh is heir to: poverty, starvation, disease, and death. A well designed welfare state can do much to remove these evils. As part of a cooperative community, we receive the grace of increased freedom.

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Further reading

Books

Casti, John L, Five Golden Rules: Great Theories of 20th-Century Mathematics - and Why They Matter, John Wiley and Sons 1996 Preface: '[this book] is intended to tell the general reader about mathematics by showcasing five of the finest achievements of the mathematician's art in this [20th] century.' p ix. Treats the Minimax theorem (game theory), the Brouwer Fixed-Point theorem (topology), Morse's theorem (singularity theory), the Halting theorem (theory of computation) and the Simplex method (optimisation theory). 
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Darwin (1875), Charles, and Harriet Ritvo (Introduction), The Variation of Animals and Plants Under Domestication (Foundations of Natural History), Johns Hopkins University Press 1875, 1998 ' "The Variation, with its thousands of hard-won observations of the facts of variation in domesticated species, is a frustrating, but worthwhile read, for it reveals the Darwin we rarely see -- the embattled Darwin, struggling to keep his project on the road. Sometimes he seems on the verge of being overwhelmed by the problems he is dealing with, but then a curious fact of natural history will engage him (the webbing between water gun-dogs' toes, the absurdly short beak of the pouter pigeon) and his determination to make sense of it rekindles. As he disarmingly declares, 'the whole subject of inheritance is wonderful.'. 
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Davies, Paul, The Mind of God: Science and the Search for Ultimate Meaning, Penguin Books 1992 'Paul Davies' "The Mind of God: Science and the Search for Ultimate Meaning" explores how modern science is beginning to shed light on the mysteries of our existence. Is the universe - and our place in it - the result of random chance, or is there an ultimate meaning to existence? Where did the laws of nature come from? Were they created by a higher force, or can they be explained in some other way? How, for example, could a mechanism as complex as an eye have evolved without a creator? Paul Davies argues that the achievement of science and mathematics in unlocking the secrets of nature mean that there must be a deep and significant link between the human mind and the organization of the physical world. . . . ' 
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Feynman, Richard, Feynman Lectures on Gravitation, Westview Press 2002 Amazon Editorial Reviews Book Description 'The Feynman Lectures on Gravitation are based on notes prepared during a course on gravitational physics that Richard Feynman taught at Caltech during the 1962-63 academic year. For several years prior to these lectures, Feynman thought long and hard about the fundamental problems in gravitational physics, yet he published very little. These lectures represent a useful record of his viewpoints and some of his insights into gravity and its application to cosmology, superstars, wormholes, and gravitational waves at that particular time. The lectures also contain a number of fascinating digressions and asides on the foundations of physics and other issues. Characteristically, Feynman took an untraditional non-geometric approach to gravitation and general relativity based on the underlying quantum aspects of gravity. Hence, these lectures contain a unique pedagogical account of the development of Einstein's general theory of relativity as the inevitable result of the demand for a self-consistent theory of a massless spin-2 field (the graviton) coupled to the energy-momentum tensor of matter. This approach also demonstrates the intimate and fundamental connection between gauge invariance and the principle of equivalence.' 
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Feynman (1965), Richard, The Character of Physical Law, Penguin Press 1992 ' Collecting legendary lectures from freewheeling scientific genius Richard P. Feynman, The Character of Physical Law is the perfect example of Feynman's gift for making complex subjects accessible and entertaining. Here Richard Feynman gives his own unique take on the puzzles and problems that lie at the heart of physics, from Newton's Law of Gravitation to mathematics as the supreme language of nature, from the mind-boggling question of whether time can go backwards to the exciting search for new scientific laws.'  
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Heath, Thomas Little, Thirteen Books of Euclid's Elements (volume 1, I-II), Dover 1956 'This is the definitive edition of one of the very greatest classics of all time - the full Euclid, not an abridgement. Utilizing the text established by Heiberg, Sir Thomas Heath encompasses almost 2500 years of mathematical and historical study upon Euclid.' 
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Kleinert (2000), Sylvia, and Margo Neil (editors), The Oxford Companion to Aboriginal Arts and Culture, Oxford University Press 2000 ' This unique publication will provide a wide-ranging and intellectually challenging reference to indigenous Australian art, covering documented archaeologically traditions, art styles of the early contact period and the nineteenth century, and the development of the remarkably diverse contemporary Aboriginal and Torres Strait Islander art practices that have attracted so much attention in recent years. The Companion will draw upon much original research on art and culture in remote Aboriginal communities, and on the emergence of Aboriginal art in urban institutions, markets, and exhibitions. Academics, graduates, and general readers will find concise and authoritative analysis on specific topics and regional traditions, unavailable even in specialist databases. Distinguished indigenous and non-indigenous scholars have been commissioned to write on individuals, artistic traditions, and historical shifts.' 
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Kolmogorov, Andrey Nikolaevich, and Nathan Morrison (Translator) (With an added bibliography by A T Bharucha-Reid), Foundations of the Theory of Probability, Chelsea 1956 Preface: 'The purpose of this monograph is to give an axiomatic foundation for the theory of probability. . . . This task would have been a rather hopeless one before the introduction of Lebesgue's theories of measure and integration. However, after Lebesgue's publication of his investigations, the analogies between measure of a set and mathematical expectation of a random variable became apparent. These analogies allowed of further extensions; thus, for example, various properties of independent random variables were seen to be in complete analogy with the corresponding properties of orthogonal functions . . .' 
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Macmillan, Margaret, War: How Conflict Shaped Us, Profile Books 2020 ' In War, Professor Margaret MacMillan explores the deep links between society and war and the questions they raise. We learn when war began - whether among early homo sapiens or later, as we began to organise ourselves into tribes and settle in communities. We see the ways in which war reflects changing societies and how war has brought change - for better and worse. Economies, science, technology, medicine, culture: all are instrumental in war and have been shaped by it - without conflict it we might not have had penicillin, female emancipation, radar or rockets. Throughout history, writers, artists, film-makers, playwrights, and composers have been inspired by war - whether to condemn, exalt or simply puzzle about it. If we are never to be rid of war, how should we think about it and what does that mean for peace? 
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Nielsen, Michael A, and Isaac L Chuang, Quantum Computation and Quantum Information, Cambridge University Press 2000 Review: A rigorous, comprehensive text on quantum information is timely. The study of quantum information and computation represents a particularly direct route to understanding quantum mechanics. Unlike the traditional route to quantum mechanics via Schroedinger's equation and the hydrogen atom, the study of quantum information requires no calculus, merely a knowledge of complex numbers and matrix multiplication. In addition, quantum information processing gives direct access to the traditionally advanced topics of measurement of quantum systems and decoherence.' Seth Lloyd, Department of Quantum Mechanical Engineering, MIT, Nature 6876: vol 416 page 19, 7 March 2002. 
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Pauli, Wolfgang, Theory of Relativity, Dover Publications 1981 'Wolfgang Pauli (1900–1958) was one of the 20th-century's most influential physicists. He was awarded the 1945 Nobel Prize for physics for the discovery of the exclusion principle (also called the Pauli principle). A brilliant theoretician, he was the first to posit the existence of the neutrino and one of the few early 20th-century physicists to fully understand the enormity of Einstein's theory of relativity. Pauli's early writings, Theory of Relativity, published when the author was a young man of 21, was originally conceived as a complete review of the whole literature on relativity. Now, given the plethora of literature since that time and the growing complexity of physics and quantum mechanics, such a review is simply no longer possible. In order to maintain a proper historical perspective of Professor Pauli's significant work, the original text is reprinted in full, in addition to the author's insightful retrospective update of the later developments connected with relativity theory and the controversial questions that it provokes.' 
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Rawls, John, A Theory of Justice, Belknap Press 1999 ' Preface: In presenting a theory of justice I have tried to being together into one coherent view the ideas expressed in the papers I have written over the past dozen years or do. All the central topics of these essays are taken up again, usually in considerably more detail. . . . Perhaps I can best explain my aim in this book as follows. During much of modern moral philosophy the predominant systematic theory has been some form of utilitarianism. . . . What I have attempted to do is to generalize and carry to a higher order of abstraction the traditional theory of social contract as represented by Locke, Rousseau and Kant. In this way I hope that the theory can be developed so that it is no longer open to the more obvious objections thought to be fatal to it. Moreover this theory seems to offer an alternative systematic account of justice that is superior, or so I argue, to the dominant utilitarianism of the tradition. The theory that results is highly Kantian in nature.'  
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Teilhard de Chardin (1965), Pierre, The Phenomenon of Man, Collins 1965 Sir Julian Huxley, Introduction: 'We, mankind, contain the possibilities of the earth's immense future, and can realise more and more of them on condition that we increase our knowledge and our love. That, it seems to me, is the distillation of the Phenomenon of Man.'  
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Teilhard de Chardin_2, Pierre, The Phenomenon of Man, Collins 1965 Sir Julian Huxley, Introduction: 'We, mankind, contain the possibilities of the earth's immense future, and can realise more and more of them on condition that we increase our knowledge and our love. That, it seems to me, is the distillation of the Phenomenon of Man.'  
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Whitehead, Alfred North, and Bertrand Arthur Russell, Principia Mathematica (Cambridge Mathematical Library), Cambridge University Press 1910, 1962 The great three-volume Principia Mathematica is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premisses and primitive ideas, and so to prove that mathematics is a development of logic. Not long after it was published, Goedel showed that the project could not completely succeed, but that in any system, such as arithmetic, there were true propositions that could not be proved.  
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Links

Albert Einstein, On the Electrodynamics of Moving Bodies, An english translation of the paper that founded Special relativity. 'Examples of this sort, [in the contemporary application of Maxwell's electrodynamics to moving bodies] together with the unsuccessful attempts to discover any motion of the earth relatively to the ``light medium,'' suggest that the phenomena of electrodynamics as well as of mechanics possess no properties corresponding to the idea of absolute rest. They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.' back

Albert Einstein, Thermodynamics - Wikiquote, 'A theory is the more impressive the greater the simplicity of its premises, the more different kinds of things it relates, and the more extended its area of applicability. Therefore the deep impression that classical thermodynamics made upon me. It is the only physical theory of universal content which I am convinced will never be overthrown, within the framework of applicability of its basic concepts. Albert Einstein (author), Paul Arthur, Schilpp (editor). Autobiographical Notes. A Centennial Edition. Open Court Publishing Company. 1979. p. 31 [As quoted by Don Howard, John Stachel. Einstein: The Formative Years, 1879-1909 (Einstein Studies, vol. 8). Birkhäuser Boston. 2000. p. 1]' back

Albert Einstein (1905), On the Electrodynamics of Moving Bodies, An english translation of the paper that founded Special relativity. 'Examples of this sort, [in the contemporary application of Maxwell's electrodynamics to moving bodies] together with the unsuccessful attempts to discover any motion of the earth relatively to the ``light medium,'' suggest that the phenomena of electrodynamics as well as of mechanics possess no properties corresponding to the idea of absolute rest. They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good.' back

Algorithm - Wikipedia, Algorithm - Wikipedia, the free encyclopedia, ' As an effective method, an algorithm can be expressed within a finite amount of space and time,[3] and in a well-defined formal language[4] for calculating a function.[5] Starting from an initial state and initial input (perhaps empty),[6] the instructions describe a computation that, when executed, proceeds through a finite[7] number of well-defined successive states, eventually producing "output"[8] and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.' back

Aquinas, Physics, Commentary on Aristotle's Physics, ' BOOK I THE PRINCIPLES OF NATURAL THINGS Lectio 1 (184 a 9-b 14) The matter and the subject of natural science and of this book. We must proceed from the more universal principles which are better known to us. back

Aquinas, Summa II, II, 162, 8, Is pride the first sin of all?, 'I answer that, The first thing in every genus is that which is essential. Now . . . aversion from God, which is the formal complement of sin, belongs to pride essentially, and to other sins, consequently. Hence it is that pride fulfils the conditions of a first thing, and is "the beginning of all sins," . . . ' back

Aquinas, Summa, I II, 3, 8, Does human happiness consist in the vision of the divine essence?, 'If therefore the human intellect, knowing the essence of some created effect, knows no more of God than "that He is"; the perfection of that intellect does not yet reach simply the First Cause, but there remains in it the natural desire to seek the cause. Wherefore it is not yet perfectly happy. Consequently, for perfect happiness the intellect needs to reach the very Essence of the First Cause.' back

Aquinas, Summa, I, 3, 7, Is God altogether simple?, 'I answer that, The absolute simplicity of God may be shown in many ways. First, from the previous articles of this question. For there is neither composition of quantitative parts in God, since He is not a body; nor composition of matter and form; nor does His nature differ from His "suppositum"; nor His essence from His existence; neither is there in Him composition of genus and difference, nor of subject and accident. Therefore, it is clear that God is nowise composite, but is altogether simple. . . . ' back

Aquinas, Summa: I, 75, 6, Is the human soul incorruptible?, 'For it is clear that what belongs to a thing by virtue of itself is inseparable from it; but existence belongs to a form, which is an act, by virtue of itself. Wherefore matter acquires actual existence as it acquires the form; while it is corrupted so far as the form is separated from it. But it is impossible for a form to be separated from itself; and therefore it is impossible for a subsistent form to cease to exist.' back

Aristotle, The Internet Classics Archive | Works by Aristotle, A comprehensive database of Aristotle's works. back

Aristotle, Metaphysics, Metaphysics, Book XII, vii, 'But since there is something which moves while itself unmoved, existing actually, this can in no way be otherwise than as it is. For motion in space is the first of the kinds of change, and motion in a circle the first kind of spatial motion; and this the first mover produces. The first mover, then, exists of necessity; and in so far as it exists by necessity, its mode of being is good, and it is in this sense a first principle.' 1072b6 sqq back

Asceticism - Wikipedia, Asceticism - Wikipedia, the free encyclopedia, 'Asceticism (from the Greek: . . . askesis, "exercise" or "training" in the sense of athletic training) describes a lifestyle characterized by abstinence from various sorts of worldly pleasures often with the aim of pursuing religious and spiritual goals. Some forms of Christianity (see especially: Monastic life) and the Indian religions (including yoga) teach that salvation and liberation involve a process of mind-body transformation effected by exercising restraint with respect to actions of body, speech, and mind. The founders and earliest practitioners of these religions (e.g. Buddhism, Jainism, the Christian desert fathers) lived extremely austere lifestyles refraining from sensual pleasures and the accumulation of material wealth. This is to be understood not as an eschewal of the enjoyment of life but a recognition that spiritual and religious goals are impeded by such indulgence' back

Big Bang - Wikipedia, Big Bang - Wikipedia, the free encyclopedia, 'The Big Bang theory is the prevailing cosmological model that explains the early development of the Universe. According to the Big Bang theory, the Universe was once in an extremely hot and dense state which expanded rapidly. This rapid expansion caused the young Universe to cool and resulted in its present continuously expanding state. According to the most recent measurements and observations, this original state existed approximately 13.7 billion years ago, which is considered the age of the Universe and the time the Big Bang occurred. ' back

Boltzmann constant - Wikipedia, Boltzmann constant - Wikipedia, the free encyclopedia, 'The Boltzmann constant (k or kB) is the physical constant relating energy at the particle level with temperature observed at the bulk level. Values of k:
1.380 6504(24) × 10−23 J K-1
8.617 343(15) × 10−5 eV K−1
1.380 6504(24) × 10−16 erg K−1.' back

Boltzmann's entropy formula - Wikipedia, Boltzmann's entropy formula - Wikipedia, the free encyclopedia, 'In statistical mechanics, Boltzmann's equation is a probability equation relating the entropy S of an ideal gas to the quantity W, which is the number of microstates corresponding to a given macrostate:
S = k ln W
where k is the Boltzmann constant, . . . which is equal to 1.38062 x 10−23 J/K. back

Brahma - Wikipedia, Brahma - Wikipedia, the free encyclopedia, 'Brahman (Sanskrit: ब्रह्मन्, brahman) is a metaphysical concept of Hinduism referring to the ultimate reality, that, states Doniger, is uncreated, eternal, infinite, transcendent, the cause, the foundation, the source and the goal of all existence. It is envisioned as either the cause or that which transforms itself into everything that exists in the universe as well as all beings, that which existed before the present universe and time, which exists as current universe and time, and that which will absorb and exist after the present universe and time ends.[ It is a gender neutral abstract concept. back

Brahma (Buddhism) - Wikipedia, Brahma (Buddhism) - Wikipedia, the free encyclopedia, 'Brahmā is a leading god (deva) and heavenly king in Buddhism.[1][2] He was adopted from other Indian religions that considered him a protector of teachings (dharmapala),[3] and he is never depicted in early Buddhist texts as a creator god.[4] In Buddhist tradition, it was deity Brahma who appeared before the Buddha and urged him to teach, once the Buddha attained enlightenment but was unsure if he should teach his insights to anyone.' back

Brown, Khanna & Perry, 5 Steps for the Next President to Head off a Nuclear Catastrophe, ' The Cold War may have ended in 1989, but the United States and Russia together still possess more than 12,000 nuclear weapons, 90 percent of the world’s arsenal, nearly 2,000 of which are programmed to launch in minutes at the command of either countries’ president. The risk of a real nuclear catastrophe is not a bugbear from a past decade. It is a current threat, and becoming more serious because of Trump’s policies—and because the public has largely stopped paying attention. . . . Trump has pulled out of two vital nuclear treaties—one covering Iran’s nuclear program and the other banning intermediate and short-range missiles. Now, there’s just one treaty holding back an all-out revival of the nuclear arms race with Russia—the New START Treaty, signed in 2010, and expiring early next year.' back

Brownian motion - Wikipedia, Brownian motion - Wikipedia, the free encyclopedia, 'Brownian motion . . . is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the fast-moving atoms or molecules in the gas or liquid.' back

Cantor's paradox - Wikipedia, Cantor's paradox - Wikipedia, the free encyclopedia, 'In set theory, Cantor's paradox is derivable from the theorem that there is no greatest cardinal number, so that the collection of "infinite sizes" is itself infinite. The difficulty is handled in axiomatic set theory by declaring that this collection is not a set but a proper class; in von Neumann–Bernays–Gödel set theory it follows from this and the axiom of limitation of size that this proper class must be in bijection with the class of all sets. Thus, not only are there infinitely many infinities, but this infinity is larger than any of the infinities it enumerates.' back

Catholic Catechism p1, s2, c1, a1, p4, God creates "out of nothing", ' §296 We believe that God needs no pre-existent thing or any help in order to create, nor is creation any sort of necessary emanation from the divine substance.144 God creates freely "out of nothing" "If God had drawn the world from pre-existent matter, what would be so extraordinary in that? A human artisan makes from a given material whatever he wants, while God shows his power by starting from nothing to make all he wants". (St. Theophilus of Antioch, Ad Autolycum II, 4: PG 6,1052.)' back

Catholic Catechism p1, s2, c1, a1, p7, I. Where sin abounded, grace abounded all the more, 'Original sin - an essential truth of the faith 388 With the progress of Revelation, the reality of sin is also illuminated. Although to some extent the People of God in the Old Testament had tried to understand the pathos of the human condition in the light of the history of the fall narrated in Genesis, they could not grasp this story's ultimate meaning, which is revealed only in the light of the death and Resurrection of Jesus Christ. We must know Christ as the source of grace in order to know Adam as the source of sin. The Spirit-Paraclete, sent by the risen Christ, came to "convict the world concerning sin", by revealing him who is its Redeemer. 389 The doctrine of original sin is, so to speak, the "reverse side" of the Good News that Jesus is the Savior of all men, that all need salvation and that salvation is offered to all through Christ. The Church, which has the mind of Christ, knows very well that we cannot tamper with the revelation of original sin without undermining the mystery of Christ.' back

Catholic Catechism p1, s2, c2, a4, II. Christ's redemptive death in God's plan of salvation, ' 604 By giving up his own Son for our sins, God manifests that his plan for us is one of benevolent love, prior to any merit on our part: "In this is love, not that we loved God but that he loved us and sent his Son to be the expiation for our sins." God "shows his love for us in that while we were yet sinners Christ died for us." back

Catholic Catechism p1, s2, c3, a12 II, II Heaven, '1023 Those who die in God's grace and friendship and are perfectly purified live for ever with Christ. They are like God for ever, for they "see him as he is," face to face.
1024 This perfect life with the Most Holy Trinity - this communion of life and love with the Trinity, with the Virgin Mary, the angels and all the blessed - is called "heaven." Heaven is the ultimate end and fulfillment of the deepest human longings, the state of supreme, definitive happiness.
1025 To live in heaven is "to be with Christ." The elect live "in Christ," but they retain, or rather find, their true identity, their own name.
1026 By his death and Resurrection, Jesus Christ has "opened" heaven to us. The life of the blessed consists in the full and perfect possession of the fruits of the redemption accomplished by Christ. He makes partners in his heavenly glorification those who have believed in him and remained faithful to his will. Heaven is the blessed community of all who are perfectly incorporated into Christ.' back

Catholic Catechism p1, s2, c3, a12 III, III Purgatory, '¶1030 'All who die in God's grace and friendship, but still imperfectly purified, are indeed assured of their eternal salvation; but after death they undergo purification, so as to achieve the holiness necessary to enter the joy of heaven.
¶1031 The Church gives the name Purgatory to this final purification of the elect, which is entirely different from the punishment of the damned.606 The Church formulated her doctrine of faith on Purgatory especially at the Councils of Florence and Trent. The tradition of the Church, by reference to certain texts of Scripture, speaks of a cleansing fire.' back

Catholic Catechism p1, s2, c3, a12 IV, IV Hell, '¶1035 'The teaching of the Church affirms the existence of hell and its eternity. Immediately after death the souls of those who die in a state of mortal sin descend into hell, where they suffer the punishments of hell, "eternal fire."The chief punishment of hell is eternal separation from God, in whom alone man can possess the life and happiness for which he was created and for which he longs.
¶1036 The affirmations of Sacred Scripture and the teachings of the Church on the subject of hell are a call to the responsibility incumbent upon man to make use of his freedom in view of his eternal destiny. They are at the same time an urgent call to conversion: "Enter by the narrow gate; for the gate is wide and the way is easy, that leads to destruction, and those who enter by it are many. For the gate is narrow and the way is hard, that leads to life, and those who find it are few." ' back

Catholic Catechism p2, s2, c1, a1, VII The grace of baptism, '1263 By Baptism all sins are forgiven, original sin and all personal sins, as well as all punishment for sin. In those who have been reborn nothing remains that would impede their entry into the Kingdom of God, neither Adam's sin, nor personal sin, nor the consequences of sin, the gravest of which is separation from God. back

Catholic Catechism p3, s1, c3, a2, II Grace, '1996 Our justification comes from the grace of God. Grace is favor, the free and undeserved help that God gives us to respond to his call to become children of God, adoptive sons, partakers of the divine nature and of eternal life. 1997 Grace is a participation in the life of God. It introduces us into the intimacy of Trinitarian life: by Baptism the Christian participates in the grace of Christ, the Head of his Body. As an "adopted son" he can henceforth call God "Father," in union with the only Son. He receives the life of the Spirit who breathes charity into him and who forms the Church.' back

Catholic Catechism, p2, s2, c1, a3, The Sacrament of the Eucharist, ' 1323 "At the Last Supper, on the night he was betrayed, our Savior instituted the Eucharistic sacrifice of his Body and Blood. This he did in order to perpetuate the sacrifice of the cross throughout the ages until he should come again, and so to entrust to his beloved Spouse, the Church, a memorial of his death and resurrection: a sacrament of love, a sign of unity, a bond of charity, a Paschal banquet 'in which Christ is consumed, the mind is filled with grace, and a pledge of future glory is given to us.' " back

Chicxulub crater - Wikipedia, Chicxulub crater - Wikipedia, the free encyclopedia, ' The Chicxulub crater . . . is an impact crater buried underneath the Yucatán Peninsula in Mexico. Its center is located offshore near the town of Chicxulub, after which the crater is named. It was formed when a large asteroid or comet about 11 to 81 kilometers (6.8 to 50.3 miles) in diameter, known as the Chicxulub impactor, struck the Earth. The date of the impact coincides precisely with the Cretaceous–Paleogene boundary (commonly known as the "K–Pg boundary"), slightly more than 66 million years ago, and a widely accepted theory is that worldwide climate disruption from the event was the cause of the Cretaceous–Paleogene extinction event, a mass extinction in which 75% of plant and animal species on Earth became extinct, including all non-avian dinosaurs.' back

Chronology of the universe - Wikipedia, Chronology of the universe - Wikipedia, the free encyclopedia, 'The chronology of the universe describes the history and future of the universe according to Big Bang cosmology, the prevailing scientific model of how the universe developed over time from the Planck epoch, using the cosmological time parameter of comoving coordinates. The metric expansion of space is estimated to have begun 13.8 billion years ago.' back

Clare Foran, Donald Trump and the Triumph of Climate-Change Denial, 'Denial of the broad scientific consensus that human activity is the primary cause of global warming could become a guiding principle of Donald Trump’s presidential administration. Though it’s difficult to pin down exactly what Trump thinks about climate change, he has a well-established track record of skepticism and denial. He has called global warming a “hoax,” insisted while campaigning for the Republican nomination that he’s “not a big believer in man-made climate change,” and recently suggested that “nobody really knows” if climate change exists.' back

Claude Shannon, Communication in the Presence of Noise, 'A method is developed for representing any communication system geometrically. Messages and the corresponding signals are points in two “function spaces,” and the modulation process is a mapping of one space into the other. Using this representation, a number of results in communication theory are deduced concerning expansion and compression of bandwidth and the threshold effect. Formulas are found for the maximum rate of transmission of binary digits over a system when the signal is perturbed by various types of noise. Some of the properties of “ideal” systems which transmit at this maximum rate are discussed. The equivalent number of binary digits per second for certain information sources is calculated.' [C. E. Shannon , “Communication in the presence of noise,” Proc. IRE, vol. 37, pp. 10–21, Jan. 1949.] back

Continuous function - Wikipedia, Continuous function - Wikipedia, the free encyclopedia, 'IIn mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be a "discontinuous function". A continuous function with a continuous inverse function is called "bicontinuous".' back

Cosmological constant problem - Wikipedia, Cosmological constant problem - Wikipedia, the free encyclopedia, 'In cosmology, the cosmological constant problem or vacuum catastrophe is the disagreement between measured values of the vacuum energy density (the small value of the cosmological constant) and the zero-point energy suggested by quantum field theory. Depending on the assumptions[which?], the discrepancy ranges from 40 to more than 100 orders of magnitude, a state of affairs described by Hobson et al. (2006) as "the worst theoretical prediction in the history of physics." ' back

Debugging - Wikipedia, Debugging - Wikipedia, the free encyclopedia, 'Debugging is the process of finding and resolving defects or problems within the program that prevent correct operation of computer software or a system.' back

Des Cahill and Peter Wilkinson, Child Sexual Abuse in the Catholic Church: An Interpretative Review of the Literature and Public Inquiry Reports, 'For the first time in Australia, a ground-breaking research study has analysed the systemic reasons why the abuse of children has plagued the Catholic Church worldwide. Taking five years to complete, it is the most comprehensive report on the issue ever produced. Based on their analysis of a vast array of theological and scientific studies, the authors outline a matrix of factors that have contributed to the tragedy – cultural, historical, organisational, social, psychological and theological.' back

Desert Fathers - Wikipedia, Desert Fathers - Wikipedia, the free encyclopedia, ' The Desert Fathers (along with Desert Mothers) were early Christian hermits, ascetics, and monks who lived mainly in the Scetes desert of Egypt beginning around the third century AD. The Apophthegmata Patrum is a collection of the wisdom of some of the early desert monks and nuns, still in print as Sayings of the Desert Fathers. The most well known was Anthony the Great, who moved to the desert in 270–271 AD and became known as both the father and founder of desert monasticism.' back

Devil of Christianity - Wikipedia, Devil of Christianity - Wikipedia, the free encyclopedia, 'In mainstream Christianity, the Devil (or Satan) is a fallen angel who rebelled against God. Satan was expelled from Heaven and sent to Earth. The devil is often identified as the serpent in the Garden of Eden, whose persuasions led to the two corresponding Christian doctrines: the Original Sin and its cure, the Redemption of Jesus Christ. He is also identified as the accuser of Job, the tempter of the Gospels, Leviathan and the dragon in the Book of Revelation.' back

Eugene Wigner, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, 'The first point is that the enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and that there is no rational explanation for it. Second, it is just this uncanny usefulness of mathematical concepts that raises the question of the uniqueness of our physical theories.' back

Event horizon - Wikipedia, Event horizon - Wikipedia, the free encyclopedia, 'In general relativity, an event horizon is a boundary in spacetime beyond which events cannot affect an outside observer. In layman's terms, it is defined as the shell of "points of no return", i.e., the points at which the gravitational pull becomes so great as to make escape impossible, even for light. ' back

Exodus, Exodus, King James Version, Exodus 3:7 'And the LORD said, I have surely seen the affliction of my people which are in Egypt, and have heard their cry by reason of their taskmasters; for I know their sorrows; And I am come down to deliver them out of the hand of the Egyptians, and to bring them up out of that land unto a good land and a large, unto a land flowing with milk and honey; unto the place of the Canaanites, and the Hittites, and the Amorites, and the Perizzites, and the Hivites, and the Jebusites.' back

Fourier transform - Wikipedia, Fourier transform - Wikipedia, the free encyclopedia, 'The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.' back

General relativity - Wikipedia, General relativity - Wikipedia, the free encyclopedia, 'General relativity or the general theory of relativity is the geometric theory of gravitation published by Albert Einstein in 1916. It is the current description of gravitation in modern physics. General relativity generalises special relativity and Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time, or spacetime. In particular, the curvature of spacetime is directly related to the four-momentum (mass-energy and linear momentum) of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.' back

Gini coefficient - Wikipedia, Gini coefficient - Wikipedia, the free encyclopedia, 'The Gini coefficient measures the inequality among values of a frequency distribution (for example, levels of income). A Gini coefficient of zero expresses perfect equality, where all values are the same (for example, where everyone has the same income). A Gini coefficient of 1 (or 100%) expresses maximal inequality among values (e.g., for a large number of people, where only one person has all the income or consumption, and all others have none, the Gini coefficient will be very nearly one).' back

Hebrew Bible - Wikipedia, Hebrew Bible - Wikipedia, The Hebrew Bible . . . is a term referring to the books of the Jewish Bible as originally written mostly in Biblical Hebrew with some Biblical Aramaic. The term closely corresponds to contents of the Jewish Tanakh and the Protestant Old Testament (see also Judeo-Christian) but does not include the deuterocanonical portions of the Roman Catholic or the Anagignoskomena portions of the Eastern Orthodox Old Testaments. The term does not imply naming, numbering or ordering of books, which varies (see also Biblical canon).' back

Heresy - Wikipedia, Heresy - Wikipedia, the free encyclopedia, ' Heresy is any belief or theory that is strongly at variance with established beliefs or customs, in particular the accepted beliefs of a church or religious organization. The term is usually used in reference to violations of important religious teachings, but is also used of views strongly opposed to any generally accepted ideas. A heretic is a proponent of heresy. The term is used particularly in reference to Christianity, Judaism, and Islam. In certain historical Christian, Muslim and Jewish cultures, among others, espousing ideas deemed heretical has been (and in some cases still is) met with censure ranging from excommunication to the death penalty.' back

Hilbert space - Wikipedia, Hilbert space - Wikipedia, the free encyclopedia, 'The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. Furthermore, Hilbert spaces are complete: there are enough limits in the space to allow the techniques of calculus to be used.' back

Leviathan (book) - Wikipedia, Leviathan (book) - Wikipedia, the free encyclopedia, 'Leviathan or The Matter, Forme and Power of a Common-Wealth Ecclesiasticall and Civil—commonly referred to as Leviathan—is a book written by Thomas Hobbes (1588–1679) and published in 1651 (revised Latin edition 1668). Its name derives from the biblical Leviathan. The work concerns the structure of society and legitimate government, and is regarded as one of the earliest and most influential examples of social contract theory.' back

Icarus -Wikipedia, Icarus -Wikipedia, the free encyclopedia, ' In Greek mythology, Icarus is the son of the master craftsman Daedalus, the creator of the Labyrinth. Icarus and his father attempt to escape from Crete by means of wings that his father constructed from feathers and wax. . . . Icarus ignored his father's instructions not to fly too close to the sun; when the wax in his wings melted he tumbled out of the sky and fell into the sea where he drowned, . . . ' back

Immune system - Wikipedia, Immune system - Wikipedia, the free encyclopedia, 'The immune system is a host defense system comprising many biological structures and processes within an organism that protects against disease. To function properly, an immune system must detect a wide variety of agents, known as pathogens, from viruses to parasitic worms, and distinguish them from the organism's own healthy tissue.' back

Initial singularity - Wikipedia, Initial singularity - Wikipedia, the free encyclopedia, 'The initial singularity was the gravitational singularity of infinite density thought to have contained all of the mass and spacetime of the Universe before quantum fluctuations caused it to rapidly expand in the Big Bang and subsequent inflation, creating the present-day Universe.' back

Jacques Paul Migne, Patrologiae Cursus Completus. Series Graeca, ' Wikipedia: http://en.wikipedia.org/wiki/Patrologia_Graeca
Content of each volume: http://www.documentacatholicaomnia.eu/25_20_30-_Volumina.html
Works of selected authors: http://www.dcoi.org/25_20_25-_Rerum_Conspectus_Pro_Auctoribus_Ordinatus.html
Cavallera's Indices: http://www.archive.org/details/PatrologiaGraeca.Indices
Downloadable searchable PDFs of many works from PG (and also some others), arranged by: authors and volumes.
catalog.hathitrust.org/Record/ 008394160, 007035210 (and view only via USA proxy: 008882185, 001931731, 011241341)
How to Type in Greek (with diacritic): http://graeca.patristica.net/how-to-type-in-greek
Greek dictionary (Hopper): http://www.perseus.tufts.edu/hopper/morph?la=greek
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Jacques-Paul Migne, Patrologia Latina Database, 'The Patrologia Latina Database is an electronic version of the first edition of Jacques-Paul Migne's Patrologia Latina, published between 1844 and 1855, and the four volumes of indexes published between 1862 and 1865. The Patrologia Latina comprises the works of the Church Fathers from Tertullian in 200 AD to the death of Pope Innocent III in 1216. The Patrologia Latina Database contains the complete Patrologia Latina, including all prefatory material, original texts, critical apparatus and indexes. Migne's column numbers, essential references for scholars, are also included.' back

Jean-Jacques Rousseau - Wikipedia, Jean-Jacques Rousseau - Wikipedia, the free encyclopedia, ' Jean-Jacques Rousseau (28 June 1712 – 2 July 1778) was a Genevan philosopher, writer and composer. His political philosophy influenced the progress of the Enlightenment throughout Europe, as well as aspects of the French Revolution and the development of modern political, economic and educational thought. His Discourse on Inequality and The Social Contract are cornerstones in modern political and social thought. Rousseau's sentimental novel Julie, or the New Heloise (1761) was important to the development of preromanticism and romanticism in fiction.His Emile, or On Education (1762) is an educational treatise on the place of the individual in society. ' back

John Paul II, Ordinatio Sacerdotalis, 22 May 1994, '4. Although the teaching that priestly ordination is to be reserved to men alone has been preserved by the constant and universal Tradition of the Church and firmly taught by the Magisterium in its more recent documents, at the present time in some places it is nonetheless considered still open to debate, or the Church's judgment that women are not to be admitted to ordination is considered to have a merely disciplinary force. Wherefore, in order that all doubt may be removed regarding a matter of great importance, a matter which pertains to the Church's divine constitution itself, in virtue of my ministry of confirming the brethren (cf. Lk 22:32) I declare that the Church has no authority whatsoever to confer priestly ordination on women and that this judgement is to be definitively held by all the Church's faithful.' back

John Paul II (1994), Ordinatio Sacerdotalis, 22 May 1994, '4. Although the teaching that priestly ordination is to be reserved to men alone has been preserved by the constant and universal Tradition of the Church and firmly taught by the Magisterium in its more recent documents, at the present time in some places it is nonetheless considered still open to debate, or the Church's judgment that women are not to be admitted to ordination is considered to have a merely disciplinary force. Wherefore, in order that all doubt may be removed regarding a matter of great importance, a matter which pertains to the Church's divine constitution itself, in virtue of my ministry of confirming the brethren (cf. Lk 22:32) I declare that the Church has no authority whatsoever to confer priestly ordination on women and that this judgement is to be definitively held by all the Church's faithful.' back

John Schwartz, Exxon Misled the Public on Climate Change, '“We stress that the question is not whether Exxon Mobil ‘suppressed climate change research,’ but rather how they communicated about it,” Dr. Oreskes and Dr. Supran wrote. “Exxon Mobil contributed quietly to the science and loudly to raising doubts about it.” back

Joseph Sollier: Redemption, Redemption | Catholic Encyclopedia, 'The restoration of man from the bondage of sin to the liberty of the children of God through the satisfactions and merits of Christ.' back

King Canute and the waves - Wikipedia, King Canute and the waves - Wikipedia, the free encyclopedia, 'The story of King Canute and the waves is a possibly apocryphal anecdote illustrating the piety or humility of king Canute the Great, recorded in the 12th century by Henry of Huntingdon. In the narrative, Canute demonstrates to his flattering courtiers that he has no control over the elements (the incoming tide), explaining that secular power is vain compared to the supreme power of God. The episode is frequently alluded to in contexts where the futility of "trying to stop the tide" of an inexorable event is pointed out.' back

Laplace's demon - Wikipedia, Laplace's demon - Wikipedia, the free encyclopedia, 'We may regard the present state of the universe as the effect of its past and the cause of its future. An intellect which at a certain moment would know all forces that set nature in motion, and all positions of all items of which nature is composed, if this intellect were also vast enough to submit these data to analysis, it would embrace in a single formula the movements of the greatest bodies of the universe and those of the tiniest atom; for such an intellect nothing would be uncertain and the future just like the past would be present before its eyes.' A Philosophical Essay on Probabilities, Essai philosophique dur les probabilites introduction to the second edition of Theorie analytique des probabilites based on a lecture given in 1794. back

Leviathan (Hobbes Book) - Wikipedia, Leviathan (Hobbes Book) - Wikipedia, the free encyclopedia, ' Leviathan or The Matter, Forme and Power of a Commonwealth Ecclesiasticall and Civil, commonly referred to as Leviathan, is a book written by Thomas Hobbes (1588–1679) and published in 1651 (revised Latin edition 1668). Its name derives from the biblical Leviathan. The work concerns the structure of society and legitimate government, and is regarded as one of the earliest and most influential examples of social contract theory. Written during the English Civil War (1642–1651), it argues for a social contract and rule by an absolute sovereign. Hobbes wrote that civil war and the brute situation of a state of nature ("the war of all against all") could only be avoided by strong, undivided government.' back

Linearity - Wikipedia, Linearity - Wikipedia, the free encyclopedia, ' In mathematics, a linear map or linear function f(x) is a function that satisfies the two properties:[1] Additivity: f(x + y) = f(x) + f(y). Homogeneity of degree 1: f(αx) = α f(x) for all α. These properties are known as the superposition principle. In this definition, x is not necessarily a real number, but can in general be an element of any vector space.' back

Lochlan Morrissey, Alternative facts do exist: beliefs, lies and politics, 'Spicer and Hanson wish for their assertions to be understood as facts, and to be a part of the mainstream political discourse. We shouldn’t ask: “Why did they not tell the truth?”. Rather, we should ask: “why that lie?”; “why at that time?”; and the same question that’s asked of every mainstream politician: “what’s in it for them?”.' back

Logic level - Wikipedia, Logic level - Wikipedia, the free encyclopedia, 'In digital circuits, a logic level is one of a finite number of states that a digital signal can inhabit. Logic levels are usually represented by the voltage difference between the signal and ground, although other standards exist. The range of voltage levels that represents each state depends on the logic family being used.' back

Lorentz transformation - Wikipedia, Lorentz transformation - Wikipedia, the free encyclopedia, 'In physics, the Lorentz transformation or Lorentz-Fitzgerald transformation describes how, according to the theory of special relativity, two observers' varying measurements of space and time can be converted into each other's frames of reference. It is named after the Dutch physicist Hendrik Lorentz. It reflects the surprising fact that observers moving at different velocities may measure different distances, elapsed times, and even different orderings of events.' back

Marguerite Johnson, Friday essay: why grown-ups still need fairy tales, 'Fairy tales are excellent narratives with which to think through a range of human experiences: joy, disbelief, disappointment, fear, envy, disaster, greed, devastation, lust, and grief (just to name a few). They provide forms of expression to shed light not only on our own lives but on the lives beyond our own. And, contrary to the impression that fairy tales always end happily ever after, this is not the case - therein lies much of their power.' back

Military-industrial complex - Wikipedia, Military-industrial complex - Wikipedia, the free encyclopedia, ' The military–industrial complex (MIC) is an informal alliance between a nation's military and the defense industry that supplies it, seen together as a vested interest which influences public policy.. . . The term is most often used in reference to the system behind the military of the United States, where it is most prevalent due to close links between defense contractors, the Pentagon and politicians and gained popularity after a warning on its detrimental effects in the farewell address of President Dwight D. Eisenhower on January 17, 1961.' back

Minkowski space - Wikipedia, Minkowski space - Wikipedia, the free encyclopedia, ' In mathematical physics, Minkowski space or Minkowski spacetime is a combination of Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded. Although initially developed by mathematician Hermann Minkowski for Maxwell's equations of electromagnetism, the mathematical structure of Minkowski spacetime was shown to be an immediate consequence of the postulates of special relativity.' back

Near-Earth supernova - Wikipedia, Near-Earth supernova - Wikipedia, the free encyclopedia, 'A near-Earth supernova is an explosion resulting from the death of a star that occurs close enough to the Earth (roughly less than 10 to 300 parsecs (30 to 1000 light-years) away[2]) to have noticeable effects on Earth's biosphere. Historically, each near-Earth supernova explosion has been associated with a global warming of around 3–4 °C (5–7 °F). An estimated 20 supernova explosions have happened within 300 pc of the Earth over the last 11 million years.' back

New Commandment - Wikipedia, New Commandment - Wikipedia, the free encyclopedia, 'The New Commandment is a term used in Christianity to describe Jesus's commandment to "love one another" which, according to the Bible, was given as part of the final instructions to his disciples after the Last Supper had ended: John 13:34: A new command I give you: Love one another. As I have loved you, so you must love one another. 35 By this everyone will know that you are my disciples, if you love one another.” ' back

Nielsen et al, Tracing the peopling of the world through genomics, Abstract ' Advances in the sequencing and the analysis of the genomes of both modern and ancient peoples have facilitated a number of breakthroughs in our understanding of human evolutionary history. These include the discovery of interbreeding between anatomically modern humans and extinct hominins; the development of an increasingly detailed description of the complex dispersal of modern humans out of Africa and their population expansion worldwide; and the characterization of many of the genetic adaptions of humans to local environmental conditions. Our interpretation of the evolutionary history and adaptation of humans is being transformed by analyses of these new genomic data.' back

Noosphere - Wikipedia, Noosphere - Wikipedia, the free encyclopedia, 'The noosphere . . . is the sphere of human thought.The word derives from the Greek νοῦς (nous "mind") and σφαῖρα (sphaira "sphere"), in lexical analogy to "atmosphere" and "biosphere". It was introduced by Pierre Teilhard de Chardin in 1922 in his Cosmogenesis.' back

Organon - Wikipedia, Organon - Wikipedia, the free encyclopedia, 'The Organon (Greek: όργανον meaning instrument, tool, organ) is the standard collection of Aristotle's six works on logic. The name Organon was given by Aristotle's followers, the Peripatetics. They are as follows:
Categories
On Interpretation
Prior Analytics
Posterior Analytics
Topics
Sophistical Refutations. ' back

Oxford Dictionary of Proverbs, He who rides a tiger is afraid to dismount, back

Paul Kane & Scott Clement, Just 27 congressional Republicans acknowledge Biden's win, Washington Post survey finds, ' Just 27 congressional Republicans acknowledge Joe Biden’s win over President Trump a month after the former vice president’s clear victory of more than 7 million votes nationally and a convincing electoral-vote margin that exactly matched Trump’s 2016 tally. . . . Those are the findings of a Washington Post survey of all 249 Republicans in the House and Senate that began the morning after Trump posted a 46-minute video Wednesday evening in which he wrongly claimed he had defeated Biden and leveled wild and unsubstantiated allegations of “corrupt forces” who stole the outcome from the sitting president.' back

Planck postulate - Wikipedia, Planck postulate - Wikipedia, the free encyclopedia, 'The Planck Postulate (or Planck's Postulate), one of the fundamental principles of quantum mechanics, is the postulate that the energy of oscillators in a black body is quantized, and is given by
E = nhν,
where n is an integer 1, 2, 3, ..., h is Planck's constant, and he Greek letter nu, is the frequency of the oscillator.
The Planck Postulate was introduced by Max Planck in his derivation of his law of black body radiation in 1900. This assumption allowed Planck to derive a formula for the entire spectrum of the radiation emitted by a black body. Planck was unable to justify this assumption based on classical physics; he considered quantization as being purely a mathematical trick, rather than (as we now know) a fundamental change in our understanding of the world.
In 1905 in one of his three most important papers, Albert Einstein adapted the Planck postulate to explain the photoelectric effect, but Einstein proposed that the energy of photons themselves was quantized, and that quantization was not merely a feature of microscopic oscillators. Planck's postulate was further applied to understanding the Compton effect, and was applied by Niels Bohr to explain the emission spectrum of the hydrogen atom and derive the correct value of the Rydberg constant.' back

Positional notation - Wikipedia, Positional notation - Wikipedia, the free encyclopedia, 'Positional notation or place-value notation is a generalization of decimal notation to arbitrary base. These include binary (base 2) and hexadecimal (base 16) notations used by computers as well as the base 60 notation of Babylonian numerals. The development of positional notation is closely tied with the discovery of zero and the development of the Hindu-Arabic numeral system. Positional notation is distinguished from previous notations (such as Roman numerals) for it's use of the same symbol for the different orders of magnitude (for example, the "one's place", "ten's place", "hundred's place"). This greatly simplified arithmetic and lead to the quick spread of the notation across the world.' back

Precautionary principle - Wikipedia, Precautionary principle - Wikipedia, the free encyclopedia, ' The precautionary principle (or precautionary approach) is a broad epistemological, philosophical and legal approach to innovations with potential for causing harm when extensive scientific knowledge on the matter is lacking. It emphasizes caution, pausing and review before leaping into new innovations that may prove disastrous. . . . In some legal systems, as in law of the European Union, the application of the precautionary principle has been made a statutory requirement in some areas of law. Regarding international conduct, the first endorsement of the principle was in 1982 when the World Charter for Nature was adopted by the United Nations General Assembly, while its first international implementation was in 1987 through the Montreal Protocol. Soon after, the principle integrated with many other international treaties and guidelines such as the Rio Declaration and Kyoto Protocol.' back

Robin Smith (Stanford Encyclopedia of Philosophy), Aristotle's Logic, 'Aristotle's logic, especially his theory of the syllogism, has had an unparalleled influence on the history of Western thought. It did not always hold this position: in the Hellenistic period, Stoic logic, and in particular the work of Chrysippus, took pride of place. However, in later antiquity, following the work of Aristotelian Commentators, Aristotle's logic became dominant, and Aristotelian logic was what was transmitted to the Arabic and the Latin medieval traditions, while the works of Chrysippus have not survived.' back

Ron Milo & Ron Philips, Cell biology by numbers: How big is the average protein?, 'Proteins are often referred to as the workhorses of the cell. An impression of the relative sizes of these different molecular machines can be garnered from the gallery shown in Figure 1. One favorite example is provided by the Rubisco protein shown in the figure that is responsible for atmospheric carbon fixation, literally building the biosphere out of thin air. This molecule, one of the most abundant proteins on Earth, is responsible for extracting about a hundred Gigatons of carbon from the atmosphere each year.' back

Sacrosanctum concilium, Constitution on the Sacred Liturgy (47-58), The Second Vatican Council, Constitution on the Sacred Liturgy promulgated by His Holiness Pope Paul VI on December 4, 1963 back

Stephen Marche, The Unexamined Brutality of the Male Libido, 'The crisis we are approaching is fundamental: How can healthy sexuality ever occur in conditions in which men and women are not equal? How are we supposed to create an equal world when male mechanisms of desire are inherently brutal? We cannot answer these questions unless we face them.' back

Stoicism - Wikipedia, Stoicism - Wikipedia, the free encyclopedia, 'Stoicism is a school of Hellenistic philosophy founded in Athens by Zeno of Citium in the early 3rd century BC. The Stoics taught that destructive emotions resulted from errors in judgment, and the active relationship between cosmic determinism and human freedom, and the belief that it is virtuous to maintain a will (called prohairesis) that is in accord with nature. Because of this, the Stoics presented their philosophy as a way of life, and they thought that the best indication of an individual's philosophy was not what a person said but how that person behaved.' back

Summer Praetorius, Dawn of the Heliocene, ' In the cornucopia of chemical signatures that skyrocket in the mid 20th century, one rises to the top as the most promising global marker to define the boundary between the Holocene and Anthropocene: the radioactive spike associated with nuclear testing from 1945 to the early 1960s. Similar to the iridium layer at the Cretaceous-Paleogene boundary that marks the detonation of the 6-mile-wide asteroid, it is a signal that is both global and unambiguous in the events it represents. The chemical traces of nuclear testing can be found in ice sheets, lake bottoms, deep-sea sediments, and the bodies of living organisms, including our own.
And yet something else momentous happened in that same window of time. Something even more powerful than destruction. Humans reinvented a way to directly capture energy from the sun—previously the singular achievement of photosynthetic organisms. In 1950, in the suburbs of New Jersey, researchers at Bell Labs were busy making breakthroughs that paved the path for the first practical solar cells. In 1954, they unveiled the first silicon photovoltaics; the prototypes for solar cells widely in use today.' back

Tests of general relativity - Wikipedia, Tests of general relativity - Wikipedia, the free encyclopedia, 'At its introduction in 1915, the general theory of relativity did not have a solid empirical foundation. It was known that it correctly accounted for the "anomalous" precession of the perihelion of Mercury and on philosophical grounds it was considered satisfying that it was able to unify Newton's law of universal gravitation with special relativity. That light appeared to bend in gravitational fields in line with the predictions of general relativity was found in 1919 but it was not until a program of precision tests was started in 1959 that the various predictions of general relativity were tested to any further degree of accuracy in the weak gravitational field limit, severely limiting possible deviations from the theory. Beginning in 1974, Hulse, Taylor and others have studied the behaviour of binary pulsars experiencing much stronger gravitational fields than found in our solar system. Both in the weak field limit (as in our solar system) and with the stronger fields present in systems of binary pulsars the predictions of general relativity have been extremely well tested locally.' back

Timeline of the far future - Wikipedia, Timeline of the far future - Wikipedia, the free encyclopedia, 'While predictions of the future can never be absolutely certain, present understanding in various fields allows for the prediction of far-future events, if only in the broadest outline. These fields include astrophysics, which has revealed how planets and stars form, interact, and die; particle physics, which has revealed how matter behaves at the smallest scales; evolutionary biology, which predicts how life will evolve over time; and plate tectonics, which shows how continents shift over millennia.' back

Trickle-down economics - Wikipedia, Trickle-down economics - Wikipedia, the free encyclopedia, 'Trickle-down economics, also referred to as trickle-down theory, is an economic principle that advocates reducing taxes on businesses and the wealthy in society as a means to stimulate business investment in the short term and benefit society at large in the long term. . . . Multiple studies have found a correlation between trickle-down economics and reduced growth. Trickle-down economics has been widely criticised particularly by left-wing (liberal) and moderate politicians and economists, but also some right-wing (conservative) politicians.' back

Universe - Wikipedia, Universe - Wikipedia, the free encyclopedia, 'The Universe is all of spacetime and everything that exists therein, including all planets, stars, galaxies, the contents of intergalactic space, the smallest subatomic particles, and all matter and energy. Similar terms include the cosmos, the world, reality, and nature. The observable universe is about 46 billion light years in radius. back

Valerie Dobiesz and Julia Brooks, Its not just O'Reilly and Weinstein: Sexual violence is a 'global pandemic', 'Sexual harassment isn’t the exclusive domain of show biz big shots. It remains alarmingly prevalent nationwide, even as other crimes are generally decreasing nationwide. In the U.S., a 2006 study found that 27 percent of college women reported some form of forced sexual contact – ranging from kissing to anal intercourse – after enrolling in school. This sexual violence is heavily underreported, with just 20 percent of female student victims reporting the crime to law enforcement.' back

Variety (cybernetics) - Wikipedia, Variety (cybernetics) - Wikipedia, the free encyclopedia, 'The Law of Requisite Variety: If a system is to be stable the number of states of its control mechanism must be greater than or equal to the number of states in the system being controlled.' back

Walter Isaacson, The Light Beam Rider, 'Einstein tried to picture what it would be like to travel so fast that you caught up with a light beam. If he rode alongside it, he later wrote, “I should observe such a beam of light as an electromagnetic field at rest.” In other words, the wave would seem stationary. But this was not possible according to Maxwell’s equations, which describe the motion and oscillation of electromagnetic fields.' back

Wheel - Wikipedia, Wheel - Wikipedia, the free encyclopedia, ' A wheel is a circular component that is intended to rotate on an axle bearing. The wheel is one of the key components of the wheel and axle which is one of the six simple machines. Wheels, in conjunction with axles, allow heavy objects to be moved easily facilitating movement or transportation while supporting a load, or performing labor in machines. ' back

Yuval Levin, Taking the Long Way, 'Their confusions stem from a shallow and emaciated notion of the human person, albeit one that masquerades as a moral ideal. This diminished idea of man tempts us to an exaggerated idea of politics and fuels our “culture wars.” It is likely now the greatest threat to liberty and progress in American life, and therefore also to what we should all seek to conserve.' back