The Spirit and the Intellect: Lessons in Humility
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Lecture Notes in Physics
Lecture Notes in Physics Editorial Board R. Beig, Wien, Austria J. Ehlers, Potsdam, Germany U. Frisch, Nice, France K. Hepp, Zurich,¨ Switzerland W. Hillebrandt, Garching, Germany D. Imboden, Zurich,¨ Switzerland R. L. Jaffe, Cambridge, MA, USA R. Kippenhahn, Gottingen,¨ Germany R. Lipowsky, Golm, Germany H. v. Lohneysen,¨ Karlsruhe, Germany I. Ojima, Kyoto, Japan H. A. Weidenmuller,¨ Heidelberg, Germany J. Wess, Munchen,¨ Germany J. Zittartz, Koln,¨ Germany 3 Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Editorial Policy The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching -- quickly, informally but with a high quality. Manuscripts to be considered for publication are topical volumes consisting of a limited number of contributions, carefully edited and closely related to each other. Each contribution should contain at least partly original and previously unpublished material, be written in a clear, pedagogical style and aimed at a broader readership, especially graduate students and nonspecialist researchers wishing to familiarize themselves with the topic concerned. For this reason, traditional proceedings cannot be considered for this series though volumes to appear in this series are often based on material presented at conferences, workshops and schools (in exceptional cases the original papers and/or those not included in the printed book may be added on an accompanying CD ROM, together with the abstracts of posters and other material suitable for publication, e.g. large tables, colour pictures, program codes, etc.). Acceptance Aprojectcanonlybeacceptedtentativelyforpublication,byboththeeditorialboardandthe publisher, following thorough examination of the material submitted. The book proposal sent to the publisher should consist at least of a preliminary table of contents outlining the structureofthebooktogetherwithabstractsofallcontributionstobeincluded. -
Dynamical Relaxation to Quantum Equilibrium
Dynamical relaxation to quantum equilibrium Or, an account of Mike's attempt to write an entirely new computer code that doesn't do quantum Monte Carlo for the first time in years. ESDG, 10th February 2010 Mike Towler TCM Group, Cavendish Laboratory, University of Cambridge www.tcm.phy.cam.ac.uk/∼mdt26 and www.vallico.net/tti/tti.html [email protected] { Typeset by FoilTEX { 1 What I talked about a month ago (`Exchange, antisymmetry and Pauli repulsion', ESDG Jan 13th 2010) I showed that (1) the assumption that fermions are point particles with a continuous objective existence, and (2) the equations of non-relativistic QM, allow us to deduce: • ..that a mathematically well-defined ‘fifth force', non-local in character, appears to act on the particles and causes their trajectories to differ from the classical ones. • ..that this force appears to have its origin in an objectively-existing `wave field’ mathematically represented by the usual QM wave function. • ..that indistinguishability arguments are invalid under these assumptions; rather antisymmetrization implies the introduction of forces between particles. • ..the nature of spin. • ..that the action of the force prevents two fermions from coming into close proximity when `their spins are the same', and that in general, this mechanism prevents fermions from occupying the same quantum state. This is a readily understandable causal explanation for the Exclusion principle and for its otherwise inexplicable consequences such as `degeneracy pressure' in a white dwarf star. Furthermore, if assume antisymmetry of wave field not fundamental but develops naturally over the course of time, then can see character of reason for fermionic wave functions having symmetry behaviour they do. -
Beyond the Quantum
Beyond the Quantum Antony Valentini Theoretical Physics Group, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom. email: [email protected] At the 1927 Solvay conference, three different theories of quantum mechanics were presented; however, the physicists present failed to reach a consensus. To- day, many fundamental questions about quantum physics remain unanswered. One of the theories presented at the conference was Louis de Broglie's pilot- wave dynamics. This work was subsequently neglected in historical accounts; however, recent studies of de Broglie's original idea have rediscovered a power- ful and original theory. In de Broglie's theory, quantum theory emerges as a special subset of a wider physics, which allows non-local signals and violation of the uncertainty principle. Experimental evidence for this new physics might be found in the cosmological-microwave-background anisotropies and with the detection of relic particles with exotic new properties predicted by the theory. 1 Introduction 2 A tower of Babel 3 Pilot-wave dynamics 4 The renaissance of de Broglie's theory 5 What if pilot-wave theory is right? 6 The new physics of quantum non-equilibrium 7 The quantum conspiracy Published in: Physics World, November 2009, pp. 32{37. arXiv:1001.2758v1 [quant-ph] 15 Jan 2010 1 1 Introduction After some 80 years, the meaning of quantum theory remains as controversial as ever. The theory, as presented in textbooks, involves a human observer performing experiments with microscopic quantum systems using macroscopic classical apparatus. The quantum system is described by a wavefunction { a mathematical object that is used to calculate probabilities but which gives no clear description of the state of reality of a single system. -
Signal-Locality in Hidden-Variables Theories
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by CERN Document Server Signal-Locality in Hidden-Variables Theories Antony Valentini1 Theoretical Physics Group, Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, England.2 Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, University Park, PA 16802, USA. Augustus College, 14 Augustus Road, London SW19 6LN, England.3 We prove that all deterministic hidden-variables theories, that reproduce quantum theory for an ‘equilibrium’ distribution of hidden variables, give in- stantaneous signals at the statistical level for hypothetical ‘nonequilibrium en- sembles’. This generalises another property of de Broglie-Bohm theory. Assum- ing a certain symmetry, we derive a lower bound on the (equilibrium) fraction of outcomes at one wing of an EPR-experiment that change in response to a shift in the distant angular setting. We argue that the universe is in a special state of statistical equilibrium that hides nonlocality. PACS: 03.65.Ud; 03.65.Ta 1email: [email protected] 2Corresponding address. 3Permanent address. 1 Introduction: Bell’s theorem shows that, with reasonable assumptions, any deterministic hidden-variables theory behind quantum mechanics has to be non- local [1]. Specifically, for pairs of spin-1/2 particles in the singlet state, the outcomes of spin measurements at each wing must depend instantaneously on the axis of measurement at the other, distant wing. In this paper we show that the underlying nonlocality becomes visible at the statistical level for hypothet- ical ensembles whose distribution differs from that of quantum theory. -
Quantum Computing in the De Broglie-Bohm Pilot-Wave Picture
Quantum Computing in the de Broglie-Bohm Pilot-Wave Picture Philipp Roser September 2010 Blackett Laboratory Imperial College London Submitted in partial fulfilment of the requirements for the degree of Master of Science of Imperial College London Supervisor: Dr. Antony Valentini Internal Supervisor: Prof. Jonathan Halliwell Abstract Much attention has been drawn to quantum computing and the expo- nential speed-up in computation the technology would be able to provide. Various claims have been made about what aspect of quantum mechan- ics causes this speed-up. Formulations of quantum computing have tradi- tionally been made in orthodox (Copenhagen) and sometimes many-worlds quantum mechanics. We will aim to understand quantum computing in terms of de Broglie-Bohm Pilot-Wave Theory by considering different sim- ple systems that may function as a basic quantum computer. We will provide a careful discussion of Pilot-Wave Theory and evaluate criticisms of the theory. We will assess claims regarding what causes the exponential speed-up in the light of our analysis and the fact that Pilot-Wave The- ory is perfectly able to account for the phenomena involved in quantum computing. I, Philipp Roser, hereby confirm that this dissertation is entirely my own work. Where other sources have been used, these have been clearly referenced. 1 Contents 1 Introduction 3 2 De Broglie-Bohm Pilot-Wave Theory 8 2.1 Motivation . 8 2.2 Two theories of pilot-waves . 9 2.3 The ensemble distribution and probability . 18 2.4 Measurement . 22 2.5 Spin . 26 2.6 Objections and open questions . 33 2.7 Pilot-Wave Theory, Many-Worlds and Many-Worlds in denial . -
Extreme Quantum Nonequilibrium, Nodes, Vorticity, Drift, and Relaxation Retarding States
Extreme quantum nonequilibrium, nodes, vorticity, drift, and relaxation retarding states Nicolas G Underwood1;2 1Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, Canada, N2L 2Y5 2Kinard Laboratory, Clemson University, Clemson, South Carolina, USA, 29634 E-mail: [email protected] Abstract. Consideration is given to the behaviour of de Broglie trajectories that are separated from the bulk of the Born distribution with a view to describing the quantum relaxation properties of more `extreme' forms of quantum nonequilibrium. For the 2-dimensional isotropic harmonic oscillator, through the construction of what is termed the `drift field’, a description is given of a general mechanism that causes the relaxation of `extreme' quantum nonequilibrium. Quantum states are found which do not feature this mechanism, so that relaxation may be severely delayed or possibly may not take place at all. A method by which these states may be identified, classified and calculated is given in terms of the properties of the nodes of the state. Properties of the nodes that enable this classification are described for the first time. 1. Introduction De Broglie-Bohm theory [1,2,3,4] is the archetypal member of a class [5,6,7,8] of interpretations of quantum mechanics that feature a mechanism by which quantum probabilities arise dynamically [5,9, 10, 11, 12, 13, 14] from standard ignorance-type probabilities. This mechanism, called `quantum relaxation', occurs spontaneously through a process that is directly analogous to the classical relaxation (from statistical nonequilibrium to statistical equilibrium) of a simple isolated mechanical system as described by the second thermodynamical law. -
Pilot Wave Theory, Bohmian Metaphysics, and the Foundations of Quantum Mechanics Lecture 7 Not Even Wrong
Pilot wave theory, Bohmian metaphysics, and the foundations of quantum mechanics Lecture 7 Not even wrong. Why does nobody like pilot-wave theory? Mike Towler TCM Group, Cavendish Laboratory, University of Cambridge www.tcm.phy.cam.ac.uk/∼mdt26 and www.vallico.net/tti/tti.html [email protected] – Typeset by FoilTEX – 1 Acknowledgements The material in this lecture is to a large extent a summary of publications by Peter Holland, Antony Valentini, Guido Bacciagaluppi, David Peat, David Bohm, Basil Hiley, Oliver Passon, James Cushing, David Peat, Christopher Norris, H. Nikolic, David Deutsch and the Daily Telegraph. Bacciagaluppi and Valentini’s book on the history of the Solvay conference was a particularly vauable resource. Other sources used and many other interesting papers are listed on the course web page: www.tcm.phy.cam.ac.uk/∼mdt26/pilot waves.html MDT – Typeset by FoilTEX – 2 Life on Mars Today we are apt to forget that - not so very long ago - disagreeing with Bohr on quantum foundational issues, or indeed just writing about the subject in general, was professionally equivalent to having a cuckoo surgically attached to the centre of one’s forehead via a small spring. Here, for example, we encounter the RMP Editor feeling the need to add a remark on editorial policy before publishing Prof. Ballentine’s (hardly very controversial) paper on the statistical interpretation, concluding with what seems very like a threat. One need hardly be surprised at Bohm’s reception seventeen years earlier.. – Typeset by FoilTEX – 3 An intimidating atmosphere.. “The idea of an objective real world whose smallest parts exist objectively in the same sense as stones or trees exist, independently of whether or not we observe them.. -
Foundations of Statistical Mechanics and the Status of the Born Rule in De Broglie-Bohm Pilot-Wave Theory
Foundations of statistical mechanics and the status of the Born rule in de Broglie-Bohm pilot-wave theory Antony Valentini Augustus College, 14 Augustus Road, London SW19 6LN, UK. Department of Physics and Astronomy, Clemson University, Kinard Laboratory, Clemson, SC 29634-0978, USA. We compare and contrast two distinct approaches to understanding the Born rule in de Broglie-Bohm pilot-wave theory, one based on dynamical relaxation over time (advocated by this author and collaborators) and the other based on typicality of initial conditions (advocated by the `Bohmian mechanics' school). It is argued that the latter approach is inherently circular and physically mis- guided. The typicality approach has engendered a deep-seated confusion be- tween contingent and law-like features, leading to misleading claims not only about the Born rule but also about the nature of the wave function. By arti- ficially restricting the theory to equilibrium, the typicality approach has led to further misunderstandings concerning the status of the uncertainty principle, the role of quantum measurement theory, and the kinematics of the theory (in- cluding the status of Galilean and Lorentz invariance). The restriction to equi- librium has also made an erroneously-constructed stochastic model of particle creation appear more plausible than it actually is. To avoid needless controversy, we advocate a modest `empirical approach' to the foundations of statistical me- chanics. We argue that the existence or otherwise of quantum nonequilibrium in our world is an empirical question to be settled by experiment. To appear in: Statistical Mechanics and Scientific Explanation: Determin- ism, Indeterminism and Laws of Nature, ed. -
De Broglie-Bohm Theory ,Quantum to Classical Transition and Applications in Cosmology
de Broglie-Bohm Theory ,Quantum to Classical Transition and Applications in Cosmology Charubutr Asavaroengchai September 24, 2010 Submitted in partial fulfillment of the requirements for the degree of Master of Science of Imperial College London Abstract Standard quantum mechanics has conceptual inconsistency regarding measurement and `quantum to classical' transition. We reviewed differ- ent interpretations and the previous attempts to resolve this problem, with emphasis on de Broglie-Bohm pilot wave theory. Decoherence scheme and collapse process are discussed within the context of standard quantum the- ory and de Broglie-Bohm theory. We applied guidance equation to solve for late time solution of Guth-Pi upside-down harmonic oscillator model and found result concuring with that of classical approximation from quantum mechanics. We also reviewed the method for calculation of vacuam inflaton field fluctuation and result from de Broglie-Bohm theory. 1 Acknowledgments I would like to thank Antony Valentini and Carlo Contaldi for supervision and my colleagues: Jonathan Lau, Muddassar Rashid, Daniel Khan and Xiaowen Shi for insights through discussions about the foundation of quantum theory. I would also like to thank Vimonrat and Sutida for their hardwork and gracious efforts to make this work truly complete. 2 Contents 1 Introduction 4 2 de Broglie-Bohm pilot wave theory 7 2.1 Quantum non-equilibrium and relaxation to equilibrium . 9 2.2 Collapse of the wave function? . 9 2.3 Non-locality . 13 2.4 Pilot wave model for quantum field theory . 15 3 Quantum to classical transition 18 3.1 Decoherence approach . 19 3.2 decoherence in de Broglie-Bohm . -
Bohmian Mechanics and Quantum Theory: an Appraisal Boston Studies in the Philosophy of Science
BOHMIAN MECHANICS AND QUANTUM THEORY: AN APPRAISAL BOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE Editor ROBERTS. COHEN, Boston University Editorial Advisory Board 1HOMAS F. GLICK, Boston University ADOLF GRUNBAUM, University ofPittsburgh SYLVAN S. SCHWEBER, Brandeis University JOHN J. STACHEL, Boston University MARX W. WARTOFSKY, Baruch College of the City University ofNew York VOLUME 184 BOHMIAN MECHANICS AND QUANTUM THEORY: AN APPRAISAL Edited by JAMES T. CUSHING Department of Physics, University of Notre Dame ARTHUR FINE Department of Philosophy, Northwestern University SHELDON GOLDSTEIN Department of Mathematics, Rutgers University SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. Library of Congress Cataloging-in-Publication Data Bohrnian mechanics and quantum theory : an appraisal I edited by James T. Cush1ng, Arthur F1ne, Sheldon Goldstein. p. ern. -- <Boston studies 1n the philosophy of science ; v. 184) Includes bibliographical references and index. ISBN 978-90-481-4698-7 ISBN 978-94-015-8715-0 (eBook) DOI 10.1007/978-94-015-8715-0 1. Quantum theory--MathematiCS. I. Cush 1ng. James T.. 1937- II. Fine, Arthur. III. Goldstein, Sheldon, 1947- IV. Ser1es. Q174.B67 vel. 184 [OC174.12l 001 · . 01 s--dc20 [530.1' 21 96-11973 ISBN 978-90-481-4698-7 Printed on acid-free paper All Rights Reserved © 1996 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 1996 Softcover reprint of the hardcover 1st edition 1996 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner. -
Indefinable.Pdf (414 Pages, 12,959,446 Bytes, 30 December 2017, 20:00 GMT)
Download all in a zip file (19,519,483 bytes) and check out readme.html or readme.pdf (9 pages) inside, as well as pp. 123-130 and pp. 132-156 in gravity.pdf (30 December 2017, 19:42 GMT) and FRAUD.pdf (30 December 2017, 19:32 GMT). Please be aware that I am interested only and exclusively only in hyperimaginary numbers (p. 20 in Hyperimaginary Numbers), which may offer unique solutions to various problems in point-set topology, set theory, and number theory. Therefore, I cannot address any issue, which is not directly related to hyperimaginary numbers, and will have to ignore it due to the lack of time. D. Chakalov chakalov.net December 30, 2017, 19:50 GMT Gravity-Matter Duality D. Chakalov Abstract Gravity-matter duality is suggested as the first step toward quantum gravity, ensuing from the idea that the phenomenon dubbed ‘gravitational field’ is a new form of reality, known as Res potentia — “just in the middle between possibility and reality” (Heisenberg, Slide 7). The essential similarities and differences between gravity-matter duality and wave-particle duality are briefly examined, with emphasis on the proposed joint solution to exact localization of gravity and “quantum waves” at spacetime points. The latter are endowed with brand new structure and topology due to the fundamental flow of events suggested by Heraclitus — Panta rei conditio sine qua non est. gm_duality.pdf, 9 pages November 1, 2017, 17:40:13 GMT Also viXra:1707.0400vE, 2017-11-01 My objections to EU-funded Einstein Telescope and LISA can be downloaded from this http URL. -
Quantum Nonequilibrium in De Broglie-Bohm Theory and Its Effects in Black Holes and the Early Universe
Clemson University TigerPrints All Dissertations Dissertations December 2020 Quantum Nonequilibrium in De Broglie-Bohm Theory and its Effects in Black Holes and the Early Universe Adithya Pudukkudi Kandhadai Clemson University, [email protected] Follow this and additional works at: https://tigerprints.clemson.edu/all_dissertations Recommended Citation Kandhadai, Adithya Pudukkudi, "Quantum Nonequilibrium in De Broglie-Bohm Theory and its Effects in Black Holes and the Early Universe" (2020). All Dissertations. 2742. https://tigerprints.clemson.edu/all_dissertations/2742 This Dissertation is brought to you for free and open access by the Dissertations at TigerPrints. It has been accepted for inclusion in All Dissertations by an authorized administrator of TigerPrints. For more information, please contact [email protected]. Quantum Nonequilibrium in De Broglie-Bohm Theory and its Effects in Black Holes and the Early Universe A Dissertation Presented to the Graduate School of Clemson University In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy Physics by Adithya P. Kandhadai December 2020 Accepted by: Dr. Murray Daw, Committee Chair Dr. Antony Valentini Dr. Sumanta Tewari Dr. Dieter Hartmann Abstract Quantum mechanics is a highly successful fundamental theory which has passed every ex- perimental test to date. Yet standard quantum mechanics fails to provide an adequate description of measurement processes, which has long been rationalized with operationalist and positivist philo- sophical arguments but is nevertheless a serious shortfall in a fundamental theory. In this dissertation we introduce quantum mechanics with a discussion of the measurement problem. We then review the de Broglie-Bohm pilot-wave formulation, a nonlocal hidden-variables theory where the state of a quantum system is described by a configuration (independent of measurements) in addition to the wave function, and we apply it to fundamental problems concerning black holes and the early universe.