Can we consistently identify God and the Universe?
Abstract
In this essay I argue that it is reasonable to identify the god of classical theism with the universe revealed by physics. I follow variations of the cosmological form of argument for the existence of God from Aristotle’s first mover to Aquinas’ “first way”. I then propose re-interpretation of ancient terminology to suggest the consistency of physics with the idea that the universe is a purely actual, living, intelligent being similar to the ancient understanding of god. The next step is to suggest that Einstein’s general and special relativity are consistent with the present hypothesis. I then turn to quantum theory, understood as description of network computation and communication, to argue that this structure, by analogy with animal central nervous systems, justifies seeing the universe as mind, laying a foundation for panpsychism. This enables a consistent monist interpretation of reality that sees god and the universe as identical.
Does god exist: Aristotle and the cosmological argument
Aristotle argues in Book 8 of the Physics and Book 12 of the Metaphysics “that there must be an immortal, unchanging being, ultimately responsible for all wholeness and orderliness in the sensible world” (Aristotle). He applies his notions of possibility and actuality to arguing for the existence of an unmoved mover as the source of all motion in the world. He defines motion as the transition from possibility to actuality. He assumes that it is axiomatic, that no possibility can actualize itself. Something already in existence is required to realize a possible new being. If we imagine a sequence of such causes, and observe that there is motion in the world, we are led to postulate a first unmoved mover lest we be confronted with an infinite sequence of agents with no beginning. Aristotle, Metaphysics
This argument is a representative of a general line of argument for the existence of god which takes the form (1) the observable world has certain features (eg motion); (2) the world cannot of itself explain these features; so (3) there must be another explanation for these features which we will agree to call god. It is implicit in this argument that the being that terminates the explanatory regression is a necessary being which needs no explanation because its nature is to exist.
We may then ask if this god is part of the world or other than the world? The traditional theistic position, the conclusion sought by proofs for the existence of god, is that it is other than the world. The alternative assumption, consistent with Aristotle’s view, is that it is part of the world, and I shall proceed on that basis.
From the point of view of traditional theism this assumption appears to raise a host of difficulties since at first glance, the God of theism and the world of experience appear very different. A more careful analysis, however, suggests that this difference may be illusory. Recent developments in the quantum theory of information and computation (the execution of logic), suggest that matter has properties consistent with mind. From a thoroughgoing monist point of view this discovery may ground an identification of matter and spirit, eliminating the ancient theoretical distance between heaven and earth.
Aquinas and the “first way”>
In the Summa, Aquinas provides five ways to argue for the existence of God (Aquinas, I, 2, 3). “The first and more manifest way is from motion.” He closely follows Aristotle’s argument for the first unmoved mover, concluding “Therefore it is necessary to arrive at a first mover, put in motion by no other; and this everyone understands to be God.” True to his Mosaic and Christian faith, Aquinas believes this god to be other than the world. He also concludes, following Aristotle that this god is pure actuality, actus purus, since it is the realization of all possibility. Aquinas Summa I, 2, 3: Does God exist?
This characterization of God raises a question which I have not seen raised by theists. If God is the realization of all possibility, how can there be “room” for a created world other than God? If we identify God and the world, this difficulty does not arise.
Aquinas goes on to use the pure actuality of God to argue for all the other standard attributes of God, simplicity, immobility, eternity, omnipotence, omniscience and so on. Aquinas, Summa, I, 3, 7: Is God altogether simple?
Aristotle meets Galileo and Newton
Aristotle, observing instances where friction was involved, concluded that a continual application of force was needed to keep a body in motion. This ideas was rejected by Galileo and became Newton’s first law of motion: “A body at rest remains at rest and a body in motion continues its motion in a straight line unless it is acted upon by a force”. Isaac Newton: The Mathematial Priciples of Natural Philosophy
Newton modelled the action of force with his second law: “The acceleration of a body acted upon by a force varies directly as the strength of the force impressed and inversely as the mass of the body.” Together with the third law: “action and reaction are equal and opposite”, Newton was able to formulate his law of universal gravitation and show that both celestial and terrestrial bodies obeyed the same dynamics, weakening the ancient belief that the heavens are radically different from the sublunary world. Although Newton’s four laws are quite simple, their application to the gravitational dynamics of three or more bodies is mathematically intractable. This led to two important developments, the conservation of energy and the use of variational methods which made action the most important dynamical variable and paved the way for quantum mechanics and the quantum of action.
The life of God
Like Jehovah before him, the Christian God is a living God. In the Summa Aquinas faces the objection that life is defined as self motion and motion as the passage from potential to actuality so that life and motion cannot be attributed to a being of pure actuality. Aquinas resolves this objection by referring to Aristotle’s De Anima where it is noted that “intellectual” motion (as in God) proceeds not from potency to actuality but from actuality to actuality. Aristotle De Anima: 431a6
Aristotle’s argument for the unmoved mover sees motion as proceeding from potential to actuality, subject to the axiom that no potential can actualize itself. The conservation of energy was not understood until it was realized that energy comes in two forms, potential and kinetic. We might identify these physical terms with Aristotle’s metaphysical potentiality and actuality. The difference, in post newtonian physics, is that potential and kinetic energy are equivalent, as we see in a frictionless pendulum which unceasingly converts its energy from potential to kinetic and back again. Here Aristotle’s axiom does not apply, and we may see the life and motion of the universe, as exemplified by the pendulum, as intellectual motion, from actuality to actuality. I suggest that the equivalence of kinetic and potential energy provides a bridge between the traditional theology of the living God and the physical dynamics which we observe from our position, according to the present hypothesis, “inside” God. This is consistent with the panpsychist interpretation of quantum mechanics discussed below.
General relativity: god and the initial singularity
We may argue: (1) God has four attributes: existence, eternity, absolute simplicity and creation. (2) The initial singularity, predicted by the general theory of relativity has the same four properties. So (3) we may identify God and the initial singularity.
(1) is to commonly agreed by theists.
(2) The theory of general relativity was published by Einstein in 1916 (Einstein 1916). Since then its major predictions have been verified and it is generally considered to be the standard model of the large scale structure of the universe. It is in everyday use for precision celestial navigation and global positioning systems. The mathematical work to extract the predictions of the initial singularity and black holes from the theory was published in 1975. The authors write:
Einstein's General Theory of Relativity . . . leads to two remarkable predictions about the universe: first that the final fate of massive stars is to collapse behind an event horizon to form a 'black hole' which will contain a singularity; and secondly that there is a singularity in our past which constitutes, in some sense, a beginning to our universe. Our discussion is principally aimed at developing these two results. Hawking & Ellis: The Large-Scale Structure of Space-Time
Einstein said that the “happiest thought of his life” was the realization that a freely falling person does not feel their own weight. Free fall is inertial motion, the gravity free state of motion in which Newton’s first law holds. A particle in inertial motion is said to follow a “geodesic”. The curvature of space described by general relativity causes particles on nearby geodesics accelerate toward one another even though they feel no force, a violation of Newton’s second law. A singularity is indicated by “geodesic incompleteness”, a situation where the history of a freely moving observer does not exist after (or before) a finite interval of proper time (Hawking and Ellis page 258). Proper time is time measured by a clock carried by the observer.
The existence of theoretically predicted initial singularity is supported by observational evidence, although the first 400 000 years or so of the life of the universe are invisible to us. This singularity ‘predates’ space and time. It is therefore without space-time structure, or any of the structure contained within space-time, so it is simple and eternal. It is the source of the universe. We can no more ask where it came from that we can ask where God came from. Insofar as there is are no grounds for distinguishing these two entities, it seems reasonable to identify them.
The mathematical formalism of the general theory predicts that the universe must either expand or contract. We observe that as a whole the universe is expanding, but local contractions form back holes. We may extrapolate the expansion back in time to the initial sinularity
Cosmologists understand the initial singularity to be the source of the “big bang”. This is not an explosion of stuff into existing space, but rather the creation of space-time and all that it contains. The cosmic background radiation gives us evidence back to about 400 000 years after the beginning, and evidence from high energy physics is used to extrapolate back to very close to the beginning (Hinshaw et al). Cosmological evidence for, the existence of black holes is now very strong and the recent detection of gravitational waves gives us a new window on very high energy interactions close to the beginning. Begelman: Evidence for Black Holes
Special relativity, formalism and communication
Einstein conceived the need for the special theory when he imagined himself travelling alongside a light beam. Classical mechanics predicted that the beam would appear stationary, but this contradicts Maxwell’s equations for the propagation of light. Einstein thus sought a transformation that held the velocity of light is a constant for every observer in an inertial frame, regardless of their state of motion relative to the source of the light. An observer travelling at the velocity of light, c, toward a source of light, must measure the velocity of the oncoming light as c. The Lorentz transformation explains this result, apparently paradoxical in Newtonian mechanics, that c + c = c (Lorentz transformation - Wikipedia). The special theory describes the local structure of space-time which the general theory extends to a picture of the whole universe. Maxwell's equations - Wikipedia
Except for some nuclear interactions, all communication in the universe is mediated by photons. Photons follow paths known as null geodesics whose property is that the spacetime interval between their endpoints is 0. The ‘time dilation’ and ‘length contraction’ implicit in the Lorentz transformation for a particle moving at the velocity of light show that from the point of view of an observer, the lifetime of any photon is 0 and its length is 0. This suggests that particles on null geodesics are effectively outside space and time, formally identical to the initial singularity and god. A pantheist might say the world is full of gods. Feynman: QED: The Strange Story of Light and Matter
Quantum mechanics: a step toward panpsychism?
The two theories of relativity are classical theories, built on continuous mathematics and considered to be deterministic. They describe the macroscopic behaviour of the world, but do not tell us how things actually work. This is the role of quantum mechanics, which describes the computational processes behind the scenes.
Quantum mechanics began when in 1900 when Max Planck discovered that the communications between matter and radiation occurs in finite discrete steps which have come to be called quanta of action. These steps are effectively atoms of action and are extraordinarily small by human standards. Quantization was a shock, and it remains a difficult problem in quantum theory to reconcile the continuous complex linear algebra that forms its mathematical foundation with its digital output. This is called the “measurement problem” or ‘the collapse of the wave function’. The explanation did not come until 1948 when Shannon showed that error free communication in the presence of noise could be achieved by quantizing messages. Wojciech Hubert Zurek: Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, Claude E Shannon: A Mathematical Theory of Communication
The interpretation of the quantum mechanical formalism became clearer when Feynman and others realized that the the mathematical operators of quantum mechanics could be interpreted as logical operators, thus founding the closely related disciplines of quantum communication and quantum computation. Nielsen & Chuang: Quantum Computation and Quantum Information
Quantum field theory sees all motion as the creation and annihilation of quantum states, which we may understand as the execution of a logical function whose input is annihilated on the creation of its output, thus conforming to the conservation of energy. In the past, matter has been seen as something dead and inert the absolute antithesis of a God which is alive, intelligent and eternally active. The advent of quantum mechanics has shown us that the universe is in fact a huge network of computation and communication. By analogy of the human central nervous system, it would be quite reasonable to see the universe as mind rather than matter, an approach which removes much of the cognitive dissonance from the identification of god and the world. Zee: Quantum Field Theory in a Nutshell
Discussion:
1: The identity of god and its attributes
Traditional theology maintains that the absolute simplicity of God means that it and its attributes are identical. This remains true on the present hypothesis. The knowledge of god is encoded the structure of the universe. God is no longer outside the universe “looking in”, the universe is God's knowledge. The dynamics of the universe is God’s power; the elements of the universe like photons which are outside space-time are representatives of God’s eternity; the dynamic unity of the universe is god’s simplicity. We are inclined to think of separate entities in the universe like sheep as things, but they are better thought of as events, coupled to all the other events in the universe into a dynamically seamless whole.
2: Can theology be a science?
Medieval scholasticism defined science as a purely deductive exercise proceeding from premisses per se nota, which we would call analytic or basic. It claims theology to be a science since its premisses are allegedly revealed by a truth telling God. On the present hypothesis, God is observable and in fact all human experience is a subset of God’s experience. Scientific theology, in the accepted sense of science, is therefore possible. Since Galileo’s time all the sciences except theology have escaped from institutional and political control. As long as God is an arbitrary political creation, it will remain in captivity. By linking itself to reality, as the other sciences have done, theology can become independent. Because God and the universe are one, scientific theology can become unified like the other sciences, weakening a fertile source of political and religious conflict. Oppy & Scott: Reading Philosophy of Religion: selected texts with interactive commentary, (Plantinga pp 204 sqq), Paul Arthur Berkman: Could science diplomacy be the key to stabilizing international relations?
Conclusion
The arguments outlined here suggest that we can reasonably identify the universe revealed to us by physics with the god described by Aquinas. Aristotle laid the foundation for medieval Christian scholastic theology which is promoted by the Christian churches to this day. His arguments may be reformulated in the light of the last five hundred years of science to provide simple explanations of the traditional attributes of god such as creation and annihilation, providence, omniscience and omnipotence, and open the way for scientific, evidence based theology. Since science tracks reality, and god is one, we can expect theology to converge toward a unified view of the world as the other sciences are doing.
This hypothesis is speculative, but the political and social benefits of a scientific theology suggest that it may be worthy of being met halfway for further development.
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Further readingBooks
Click on the "Amazon" link below each book entry to see details of a book (and possibly buy it!)
Feynman, Richard, QED: The Strange Story of Light and Matter, Princeton UP 1988 Jacket: 'Quantum electrodynamics - or QED for short - is the 'strange theory' that explains how light and electrons interact. Thanks to Richard Feynmann and his colleagues, it is also one of the rare parts of physics that is known for sure, a theory that has stood the test of time. . . . In this beautifully lucid set of lectures he provides a definitive introduction to QED.'
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Hawking, Steven W, and G F R Ellis, The Large Scale Structure of Space-Time, Cambridge UP 1975 Preface: Einstein's General Theory of Relativity . . . leads to two remarkable predictions about the universe: first that the final fate of massive stars is to collapse behind an event horizon to form a 'black hole' which will contain a singularity; and secondly that there is a singularity in our past which constitutes, in some sense, a beginning to our universe. Our discussion is principally aimed at developing these two results.'
Amazon
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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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Oppy, Graham, and Michael Scott, Reading Philosophy of Religion: selected texts with interactive commentary, Wiley-Blackwell 2010 'Reading Philosophy of Religion combines a diverse selection of classical and contemporary texts in philosophy of religion with insightful commentaries.
Offers a unique presentation through a combination of text and interactive commentary
Provides a mix of classic and contemporary texts, including some not anthologized elsewhere
Includes writings from thinkers such as Aquinas, Boethius,Hume, Plantinga and Putnam
Divided into sections which examine religious language, the existence of God, reason, argument and belief, divine properties,and religious pluralism.'back |
Zee, Anthony, Quantum Field Theory in a Nutshell, Princeton University Press 2003 Amazon book description: 'An esteemed researcher and acclaimed popular author takes up the challenge of providing a clear, relatively brief, and fully up-to-date introduction to one of the most vital but notoriously difficult subjects in theoretical physics. A quantum field theory text for the twenty-first century, this book makes the essential tool of modern theoretical physics available to any student who has completed a course on quantum mechanics and is eager to go on.
Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics. These days, physicists turn to quantum field theory to describe a multitude of phenomena.
Stressing critical ideas and insights, Zee uses numerous examples to lead students to a true conceptual understanding of quantum field theory--what it means and what it can do. He covers an unusually diverse range of topics, including various contemporary developments,while guiding readers through thoughtfully designed problems. In contrast to previous texts, Zee incorporates gravity from the outset and discusses the innovative use of quantum field theory in modern condensed matter theory.
Without a solid understanding of quantum field theory, no student can claim to have mastered contemporary theoretical physics. Offering a remarkably accessible conceptual introduction, this text will be widely welcomed and used.
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Papers
Begelman, Mitchell C., "Evidence for Black Holes", Science, 300, 5627, 20 June 2003, page 1898-1903. 'Abstract
Black holes are common objects in the universe. Each galaxy contains large numbers—perhaps millions—of stellar-mass black holes, each the remnant of a massive star. In addition, nearly every galaxy contains a supermassive black hole at its center, with a mass ranging from millions to billions of solar masses. This review discusses the demographics of black holes, the ways in which they interact with their environment, factors that may regulate their formation and growth, and progress toward determining whether these objects really warp spacetime as predicted by the general theory of relativity.'. back |
Links
Albert Einstein, The Field Equations of Gravitation, 'In two recently published papers I have shown how to obtain field equations of gravitation that comply with the postulate of general relativity, i.e., which in their general formulation are covariant under arbitrary substitutions of space-time variables. . . . With this, we have finally completed the general theory of relativity as a logical structure. The postulate of relativity in its most general formulation (which makes space-time coordinates into physically meaningless parameters) leads with compelling necessity to a very specific theory of gravitation that also explains the movement of the perihelion of Mercury. However, the postulate of general relativity cannot reveal to us anything new and different about the essence of the various processes in nature than what the special theory of relativity taught us already. The opinions I recently voiced here in this regard have been in error. Every physical theory that complies with the special theory of relativity can, by means of the absolute differential calculus, be integrated into the system of general relativity theory-without the latter providing any criteria about the admissibility of such physical theory.'
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Aquinas Summa I, 2, 3, Does God exist?, 'I answer that, The existence of God can be proved in five ways. The first and more manifest way is the argument from motion. . . . ' back |
Aquinas Summa Theologiae I,18, 3, Is life properly attributed to God?, Life is in the highest degree properly in God. In proof of which it must be considered that since a thing is said to live in so far as it operates of itself and not as moved by another, the more perfectly this power is found in anything, the more perfect is the life of that thing. ' back |
Aquinas, Summa, I, 10, 2, Is God eternal?, 'I answer that, The idea of eternity follows immutability, as the idea of time follows movement, as appears from the preceding article. Hence, as God is supremely immutable, it supremely belongs to Him to be eternal. Nor is He eternal only; but He is His own eternity; whereas, no other being is its own duration, as no other is its own being. Now God is His own uniform being; and hence as He is His own essence, so He is His own eternity.' back |
Aquinas, Summa, I, 44, 1, Is it necessary that every being be created by God?, 'I answer that, It must be said that every being in any way existing is from God. For whatever is found in anything by participation, must be caused in it by that to which it belongs essentially, as iron becomes ignited by fire. Now it has been shown above (I:3:4) when treating of the divine simplicity that God is the essentially self-subsisting Being; . . . Therefore all beings apart from God are not their own being, but are beings by participation. Therefore it must be that all things which are diversified by the diverse participation of being, so as to be more or less perfect, are caused by one First Being, Who possesses being most perfectly.' 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 |
Aristotle - On the Soul, On the Soul - The Internet Classics Archive, 'Holding as we do that, while knowledge of any kind is a thing to be honoured and prized, one kind of it may, either by reason of its greater exactness or of a higher dignity and greater wonderfulness in its objects, be more honourable and precious than another, on both accounts we should naturally be led to place in the front rank the study of the soul. The knowledge of the soul admittedly contributes greatly to the advance of truth in general, and, above all, to our understanding of Nature, for the soul is in some sense the principle of animal life. Our aim is to grasp and understand, first its essential nature, and secondly its properties; of these some are taught to be affections proper to the soul itself, while others are considered to attach to the animal owing to the presence within it of soul.' back |
Aristotle De Anima, De Anima 431a6, 'Cognition Is in our eyes a thing" of beauty and worth, and this is true of one cognition more than another, either because it is exact or because it relates to more important and remarkable objects. On both these grounds we may with good reason claim a high place for the enquiry concerning the soul. It would seem, too, that an acquaintance with the subject contributes greatly to the whole domain of truth and, more particularly, to the study of nature, the soul being virtually the principle of all animal life.' back |
Aristotle, Metaphysics, Metaphysics, Book XII, vii, 1072b3 sqq, 'there must be an immortal, unchanging being, ultimately responsible for all wholeness and orderliness in the sensible world.' back |
Bruce Reichenbach, Cosmological Argument (Stanford Encyclopedia of Philosophy), 'On the one hand, the [cosmological] argument arises from human curiosity as to why there is something rather than nothing or than something else. It invokes a concern for some full, complete, ultimate, or best explanation of what exists contingently. On the other hand, it raises intrinsically important philosophical questions about contingency and necessity, causation and explanation, part/whole relationships (mereology), infinity, sets, and the nature and origin of the universe. In what follows we will first sketch out a very brief history of the argument, note the two fundamental types of deductive cosmological arguments, and then provide a careful analysis of each, first the argument from contingency, then the argument from the impossibility of an infinite temporal regress of causes. In the end we will consider an inductive version of the cosmological argument.' back |
Christine Judith Nicholls, 'Dreamtime' and 'The Dreaming' - an introduction, 'To get an insight into us – [the Warlpiri people of the Tanami Desert] – it is necessary to understand something about our major religious belief, the Jukurrpa. The Jukurrpa is an all-embracing concept that provides rules for living, a moral code, as well as rules for interacting with the natural environment.
The philosophy behind it is holistic – the Jukurrpa provides for a total, integrated way of life. It is important to understand that, for Warlpiri and other Aboriginal people living in remote Aboriginal settlements, The Dreaming isn’t something that has been consigned to the past but is a lived daily reality. We, the Warlpiri people, believe in the Jukurrpa to this day.' back |
Claude E Shannon, A Mathematical Theory of Communication, 'The fundamental problem of communication is that of reproducing at one point either exactly or approximately a message selected at another point. Frequently the messages have meaning; that is they refer to or are correlated according to some system with certain physical or conceptual entities. These semantic aspects of communication are irrelevant to the engineering problem. The significant aspect is that the actual message is one selected from a set of possible messages.' back |
Erik Curiel (Stanford Encyclopedia of Philosophy), Singularities and Black Holes, 'A spacetime singularity is a breakdown in the geometrical structure of space and time. It is a topic of ongoing physical and philosophical research to clarify both the nature and significance of such pathologies. Because it is the fundamental geometry that is breaking down, spacetime singularities are often viewed as an end, or “edge,” of spacetime itself. However, numerous difficulties arise when one tries to make this notion more precise.' back |
H. C. Ackerman, A Plea for Scientific Theology, Journal Article
A Plea for a Scientific Theology
H. C. Ackerman
The Biblical World
Vol. 52, No. 2 (Sep., 1918), pp. 195-199
Published by: The University of Chicago Press
Stable URL: http://www.jstor.org/stable/3135668
Page Count: 5
Topics: Theology, Christianity, Energy, Metaphysics, Materialism, Hope, Faith, Philosophical object, Morality, Repentance back |
Isaac Newton, Newton;s Principia ; the mathematial priciples of natural philosophy, 'THE AUTHOR S PREFACE
SINCE the ancients (as we are told by Pappus), made great account of the science of mechanics in the investigation of natural things : and the moderns, laying aside substantial forms and occult qualities, have endeavoured to subject the phenomena of nature to the laws of mathematics, I
have in this treatise cultivated mathematics so far as it regards philosophy.' 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 |
Maxwell's equations - Wikipedia, Maxwell's equations - Wikipedia, the free encyclopedia, 'Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits. These fields in turn underlie modern electrical and communications technologies. Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents. They are named after the physicist and mathematician James Clerk Maxwell, who published an early form of those equations between 1861 and 1862. back |
Paul Arthur Berkman, Could science diplomacy be the key to stabilizing international relations?, 'But there are avenues of collaboration beyond the security realm that can help to balance strained relationships, maintain open channels of communication and build trust, enabling a more positive diplomatic process overall.
One key avenue is science. As a common and apolitical language, science brings allies and adversaries together with technology and innovation to address cross-border challenges that exist across the Earth – think climate, disease pandemics and international trade – which are out of reach for a single nation to address alone.' back |
Rolf Landauer, Information is a Physical Entity, 'Abstract: This paper, associated with a broader conference talk on the fundamental physical limits of information handling, emphasizes the aspects still least appreciated. Information is not an abstract entity but exists only through a physical representation, thus tying it to all the restrictions and possibilities of our real physical universe. The mathematician's vision of an unlimited sequence of totally reliable operations is unlikely to be implementable in this real universe. Speculative remarks about the possible impact of that, on the ultimate nature of the laws of physics are included.' back |
The Church of England, Book of Common Prayer, From the Preface: 'And having thus endeavoured to discharge our duties in this weighty affair, as in the sight of God, and to approve our sincerity therein (so far as lay in us) to the consciences of all men; although we know it impossible (in such variety of apprehensions, humours, and interests, as are in the world) to please all; nor can expect that men of factious, peevish, and perverse spirits should be satisfied with any thing that can be done in this kind by any other than themselves: Yet we have good hope, that what is here presented, and hath been by the Convocations of both Provinces with great diligence examined and approved, will be also well accepted and approved by all sober, peaceable, and truly conscientious Sons of the Church of England.' back |
Wojciech Hubert Zurek, Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, 'Submitted on 17 Mar 2007 (v1), last revised 18 Mar 2008 (this version, v3))
"Measurements transfer information about a system to the apparatus, and then further on -- to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide framework for the ``wavepacket collapse'', designating terminal points of quantum jumps, and defining the measured observable by specifying its eigenstates. In quantum Darwinism, they are the progenitors of multiple copies spread throughout the environment -- the fittest quantum states that not only survive decoherence, but subvert it into carrying information about them -- into becoming a witness.' back |
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