The Cellular Automaton Interpretation of Quantum Mechanics

The Cellular Automaton Interpretation of Quantum Mechanics PDF Author: Gerard 't Hooft
Publisher: Springer
ISBN: 331941285X
Category : Science
Languages : en
Pages : 296

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Book Description
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.

The Universe as Automaton

The Universe as Automaton PDF Author: Klaus Mainzer
Publisher: Springer Science & Business Media
ISBN: 3642234771
Category : Science
Languages : en
Pages : 113

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Book Description
This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata. Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.

The Cellular Automaton Interpretation of Quantum Mechanics

The Cellular Automaton Interpretation of Quantum Mechanics PDF Author: Gerard 't Hooft
Publisher: Springer
ISBN: 331941285X
Category : Science
Languages : en
Pages : 296

Get Book Here

Book Description
This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual. In this, quantum mechanics is viewed as a tool rather than a theory. The author gives examples of models that are classical in essence, but can be analysed by the use of quantum techniques, and argues that even the Standard Model, together with gravitational interactions, might be viewed as a quantum mechanical approach to analysing a system that could be classical at its core. He shows how this approach, even though it is based on hidden variables, can be plausibly reconciled with Bell's theorem, and how the usual objections voiced against the idea of ‘superdeterminism' can be overcome, at least in principle. This framework elegantly explains - and automatically cures - the problems of the wave function collapse and the measurement problem. Even the existence of an “arrow of time" can perhaps be explained in a more elegant way than usual. As well as reviewing the author’s earlier work in the field, the book also contains many new observations and calculations. It provides stimulating reading for all physicists working on the foundations of quantum theory.

Robot Universe

Robot Universe PDF Author: Ana Matronic
Publisher:
ISBN: 9781454918219
Category : Robotics
Languages : en
Pages : 0

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Book Description
They serve, fight, seduce, and go rogue--these 100 epic robots and androids have captured our collective imagination. Pop singer Ana Matronic looks at the most legendary examples; their creators, purpose, and design; and why their existence shakes or comforts us. Gathered from across popular culture, they range from Maria in Fritz Lang's Metropolis to the sentinels of The Matrix.

A New Kind of Science

A New Kind of Science PDF Author: Stephen Wolfram
Publisher:
ISBN: 9780713991161
Category : Cellular automata
Languages : en
Pages : 1197

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Book Description
This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.

The Recursive Universe

The Recursive Universe PDF Author: William Poundstone
Publisher: Courier Corporation
ISBN: 048649098X
Category : Science
Languages : en
Pages : 258

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Book Description
This fascinating popular science journey explores key concepts in information theory in terms of Conway's "Game of Life" program. The author explains the application of natural law to a random system and demonstrates the necessity of limits. Other topics include the limits of knowledge, paradox of complexity, Maxwell's demon, Big Bang theory, and much more. 1985 edition.

Cellular Automata and Groups

Cellular Automata and Groups PDF Author: Tullio Ceccherini-Silberstein
Publisher: Springer Science & Business Media
ISBN: 3642140343
Category : Computers
Languages : en
Pages : 446

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Book Description
Cellular automata were introduced in the first half of the last century by John von Neumann who used them as theoretical models for self-reproducing machines. The authors present a self-contained exposition of the theory of cellular automata on groups and explore its deep connections with recent developments in geometric group theory, symbolic dynamics, and other branches of mathematics and theoretical computer science. The topics treated include in particular the Garden of Eden theorem for amenable groups, and the Gromov-Weiss surjunctivity theorem as well as the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups. The volume is entirely self-contained, with 10 appendices and more than 300 exercises, and appeals to a large audience including specialists as well as newcomers in the field. It provides a comprehensive account of recent progress in the theory of cellular automata based on the interplay between amenability, geometric and combinatorial group theory, symbolic dynamics and the algebraic theory of group rings which are treated here for the first time in book form.

Programming the Universe

Programming the Universe PDF Author: Seth Lloyd
Publisher: Vintage
ISBN: 1400033861
Category : Science
Languages : en
Pages : 258

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Book Description
Is the universe actually a giant quantum computer? According to Seth Lloyd, the answer is yes. All interactions between particles in the universe, Lloyd explains, convey not only energy but also information–in other words, particles not only collide, they compute. What is the entire universe computing, ultimately? “Its own dynamical evolution,” he says. “As the computation proceeds, reality unfolds.” Programming the Universe, a wonderfully accessible book, presents an original and compelling vision of reality, revealing our world in an entirely new light.

Turing Machine Universality of the Game of Life

Turing Machine Universality of the Game of Life PDF Author: Paul Rendell
Publisher: Springer
ISBN: 3319198424
Category : Technology & Engineering
Languages : en
Pages : 182

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Book Description
This book presents a proof of universal computation in the Game of Life cellular automaton by using a Turing machine construction. It provides an introduction including background information and an extended review of the literature for Turing Machines, Counter Machines and the relevant patterns in Conway's Game of Life so that the subject matter is accessibly to non specialists. The book contains a description of the author’s Turing machine in Conway’s Game of Life including an unlimited storage tape provided by growing stack structures and it also presents a fast universal Turing machine designed to allow the working to be demonstrated in a convenient period of time.

Cellular Automata

Cellular Automata PDF Author: Alejandro Salcido
Publisher: BoD – Books on Demand
ISBN: 953307230X
Category : Computers
Languages : en
Pages : 584

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Book Description
Cellular automata make up a class of completely discrete dynamical systems, which have became a core subject in the sciences of complexity due to their conceptual simplicity, easiness of implementation for computer simulation, and their ability to exhibit a wide variety of amazingly complex behavior. The feature of simplicity behind complexity of cellular automata has attracted the researchers' attention from a wide range of divergent fields of study of science, which extend from the exact disciplines of mathematical physics up to the social ones, and beyond. Numerous complex systems containing many discrete elements with local interactions have been and are being conveniently modelled as cellular automata. In this book, the versatility of cellular automata as models for a wide diversity of complex systems is underlined through the study of a number of outstanding problems using these innovative techniques for modelling and simulation.

A Computable Universe

A Computable Universe PDF Author: Hector Zenil
Publisher: World Scientific
ISBN: 9814374296
Category : Computers
Languages : en
Pages : 855

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Book Description
This volume discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? and How does nature compute?