Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer in the transition from quantum to classical

Zurek, Wojciech H.

doi:10.1103/physreva.76.052110

Cited by 62 publications

(61 citation statements)

References 26 publications

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“…[96], it is argued that the collapse axiom in conventional descriptions of quantum mechanics, essentially leads to requiring the existence of a preferred orthonormal set of basis states. Our reasoning is the other way around: we start with the fundamental orthonormal basis and derive from that the emergence of the collapse of the wave function.…”

Section: The Collapsing Wave Function and Schrödinger's Catmentioning

confidence: 99%

The Cellular Automaton Interpretation of Quantum Mechanics

Hooft

2016

Fundamental Theories of Physics

264

284

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The international monograph series "Fundamental Theories of Physics" aims to stretch the boundaries of mainstream physics by clarifying and developing the theoretical and conceptual framework of physics and by applying it to a wide range of interdisciplinary scientific fields. Original contributions in well-established fields such as Quantum Physics, Relativity Theory, Cosmology, Quantum Field Theory, Statistical Mechanics and Nonlinear Dynamics are welcome. The series also provides a forum for non-conventional approaches to these fields. Publications should present new and promising ideas, with prospects for their further development, and carefully show how they connect to conventional views of the topic. Although the aim of this series is to go beyond established mainstream physics, a high profile and open-minded Editorial Board will evaluate all contributions carefully to ensure a high scientific standard.More information about this series at http://www.springer.com/series/6001Gerard 't HooftThe Cellular Automaton Interpretation of Quantum Mechanics Open Access This book is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, duplication, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the work's Creative Commons license, unless indicated otherwise in the credit line; if such material is not included in the work's Creative Commons license and the respective action is not permitted by statutory regulation, users will need to obtain permission from the license holder to duplicate, adapt or reproduce the material. This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made.Printed on acid-free paper Springer is part of Springer Scien...

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Section: The Collapsing Wave Function and Schrödinger's Catmentioning

confidence: 99%

The Cellular Automaton Interpretation of Quantum Mechanics

Hooft

2016

Fundamental Theories of Physics

264

284

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“…This is the reason why one has spoken of a Darwinism in relation to physics (Zurek 2004;2007). In fact, the general principles of biological evolution (variance, selection and transmission) can be applied to the whole of the physical world (Peirce 1887-88;Campbell 1960;Lewontin 1970;Plotkin 1993; see also Auletta 2011a, Sec.…”

Section: Emergence Of the Classical Physical Worldmentioning

confidence: 97%

Emergence: selection, allowed operations, and conserved quantities

Auletta

2015

South African Journal of Philosophy

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We treat emergence via reference to four ideas: (1) the different levels of emergence are characterised by distinct conservation laws, (2) the emergence process starts from some instability, (3) the driving force of emergence is given by selection processes allowing canalisation of specific (emerging) paths, and (4) new forms of stability are determined by new kinds of operations. At a quantum-mechanical level entropy is conserved in an isolated system or at global level and the only allowed operations are local shifts in order and disorder − that implies weakening and strengthening correlations. The stable state is here represented by a highly symmetric state. Emergence of the classical physical world arises when energy is conserved and allowable operations include building and breaking of physicalchemical connections. The stable state is here the energy minimum. Emergence of the biotic world implies that the conserved quantity is energy efficiency. Energy is no longer locally conserved. The allowed operations are those that are consistent with the survival (persistence) of the organism. The emergence of the mind is grounded in selecting those operations that are rational (in the sense of maintaining biological self-organisation). Here, the rational value of behaviour is the quantity of interest. Mounting the ladder of (both cosmic and biological) evolution means to have more and more selection of the possible outcomes (and therefore of the relative operations) but in a growing space of possibilities: if selection would reduce more and more the space of possibilities, the final result would be a rigid order; at the other extreme, if we had only expansion of the possibilities without selection, the final result would be disorder. So growing complexity can be understood as a path in the evolutionary landscape of the systems in which a balance of order and disorder is maintained although each level emerges as a result of the selection.

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“…One can accomplish this with minimal assumptions ("quantum core" postulates (o) -(iii) on the above list) as described in Ref. [40,41]. Here we review the basic steps.…”

Section: A Quantum Jumps From Quantum Core Postulatesmentioning

confidence: 99%

Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism

Zurek¹

2018

Phil. Trans. R. Soc. A.

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The emergence of the classical world from the quantum substrate of our Universe is a long-standing conundrum. In this paper, I describe three insights into the transition from quantum to classical that are based on the recognition of the role of the environment. I begin with the derivation of preferred sets of states that help to define what exists-our everyday classical reality. They emerge as a result of the breaking of the unitary symmetry of the Hilbert space which happens when the unitarity of quantum evolutions encounters nonlinearities inherent in the process of amplification-of replicating information. This derivation is accomplished without the usual tools of decoherence, and accounts for the appearance of quantum jumps and the emergence of preferred consistent with those obtained via environment-induced superselection, or The pointer states obtained in this way determine what can happen-define events-without appealing to Born's Rule for probabilities. Therefore, =| | can now be deduced from the entanglement-assisted invariance, or -a symmetry of entangled quantum states. With probabilities at hand, one also gains new insights into the foundations of quantum statistical physics. Moreover, one can now analyse the information flows responsible for decoherence. These information flows explain how the perception of objective classical reality arises from the quantum substrate: the effective amplification that they represent accounts for the objective existence of the einselected states of macroscopic quantum systems through the redundancy of pointer state records in their environment-throughThis article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.

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Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer in the transition from quantum to classical

Cited by 62 publications

References 26 publications

The Cellular Automaton Interpretation of Quantum Mechanics

The Cellular Automaton Interpretation of Quantum Mechanics

Emergence: selection, allowed operations, and conserved quantities

Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism

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