quantum theory as an emergent phenomenon the statistical mechanics of matrix models as the precursor of quantum field theory

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Quantum Theory As An Emergent Phenomenon

Author : Stephen L. Adler
ISBN : 1139454099
Genre : Science
File Size : 89. 36 MB
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Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schrödinger dynamics.

Quantum Field Theory I Basics In Mathematics And Physics

Author : Eberhard Zeidler
ISBN : 9783540347644
Genre : Science
File Size : 39. 64 MB
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This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Einstein S Unfinished Revolution

Author : Lee Smolin
ISBN : 9780698169135
Genre : Science
File Size : 57. 17 MB
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A daring new vision of quantum theory from one of the leading minds of contemporary physics Quantum physics is the golden child of modern science. It is the basis of our understanding of atoms, radiation, and so much else, from elementary particles and basic forces to the behavior of materials. But for a century it has also been the problem child of science: it has been plagued by intense disagreements between its inventors, strange paradoxes, and implications that seem like the stuff of fantasy. Whether it's Schrödinger's cat--a creature that is simultaneously dead and alive--or a belief that the world does not exist independently of our observations of it, quantum theory challenges our fundamental assumptions about reality. In Einstein's Unfinished Revolution, theoretical physicist Lee Smolin provocatively argues that the problems which have bedeviled quantum physics since its inception are unsolved and unsolvable, for the simple reason that the theory is incomplete. There is more to quantum physics, waiting to be discovered. Our task--if we are to have simple answers to our simple questions about the universe we live in--must be to go beyond quantum mechanics to a description of the world on an atomic scale that makes sense. In this vibrant and accessible book, Smolin takes us on a journey through the basics of quantum physics, introducing the stories of the experiments and figures that have transformed our understanding of the universe, before wrestling with the puzzles and conundrums that the quantum world presents. Along the way, he illuminates the existing theories that might solve these problems, guiding us towards a vision of the quantum that embraces common sense realism. If we are to have any hope of completing the revolution that Einstein began nearly a century ago, we must go beyond quantum mechanics to find a theory that will give us a complete description of nature. In Einstein's Unfinished Revolution, Lee Smolin brings us a step closer to resolving one of the greatest scientific controversies of our age.

The Meaning Of The Wave Function

Author : Shan Gao
ISBN : 9781108155939
Genre : Science
File Size : 77. 23 MB
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At the heart of quantum mechanics lies the wave function, a powerful but mysterious mathematical object which has been a hot topic of debate from its earliest stages. Covering much of the recent debate and providing a comprehensive and critical review of competing approaches, this ambitious text provides new, decisive proof of the reality of the wave function. Aiming to make sense of the wave function in quantum mechanics and to find the ontological content of the theory, this book explores new ontological interpretations of the wave function in terms of random discontinuous motion of particles. Finally, the book investigates whether the suggested quantum ontology is complete in solving the measurement problem and if it should be revised in the relativistic domain. A timely addition to the literature on the foundations of quantum mechanics, this book is of value to students and researchers with an interest in the philosophy of physics.

American Book Publishing Record

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ISBN : UOM:39015066043210
Genre : American literature
File Size : 24. 4 MB
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Quantum Theory Reconsideration Of Foundations 3

Author : Guillaume Adenier
ISBN : 0735403015
Genre : Computers
File Size : 76. 67 MB
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The editors (of V xj U. in Sweden and the Institute for Theoretical Physics in the Netherlands) present 45 papers and two poster presentations from a June 2005 international conference dedicated to the foundations of quantum mechanics and its applications to quantum information theory, quantum computing, and cryptography. Specific topics include ph

Mathematical Reviews

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ISBN : UVA:X006195255
Genre : Mathematics
File Size : 31. 11 MB
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Books In Print 2009 2010

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ISBN : 0835250199
Genre : Publishers' catalogs
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