Genesis of Karl Popper's EPR-Like Experiment and Its Resonance Amongst the Physics Community in the 1980S Abstract Keywords
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1 Hilary Putnam, Reason, Truth and History, (Cambridge: Harvard University Press, 1979). Henceforth 'RTH'. the Position Th
[The Journal of Philosophical Research XVII (1992): 313-345] Brains in a Vat, Subjectivity, and the Causal Theory of Reference Kirk Ludwig Department of Philosophy University of Florida Gainesville, FL 32611-8545 1. Introduction In the first chapter of Reason, Truth and History,1 Putnam argued that it is not epistemically possible that we are brains in a vat (of a certain sort). If his argument is correct, and can be extended in certain ways, then it seems that we can lay to rest the traditional skeptical worry that most or all of our beliefs about the external world are false. Putnam’s argument has two parts. The first is an argument for a theory of reference2 according to which we cannot refer to an object or a type of object unless we have had a certain sort of causal interaction with it. The second part argues from this theory to the conclusion that we can know that we are not brains in a vat. In this paper I will argue that Putnam’s argument to show that we cannot be brains in a vat is unsuccessful. However, the flaw is not in the argument from the theory of reference to the conclusion 1 Hilary Putnam, Reason, Truth and History, (Cambridge: Harvard University Press, 1979). Henceforth ‘RTH’. The position that Putnam advances in this first chapter is one that in later chapters of RTH he abandons in favor of the position that he calls ‘internal realism’. He represents the arguments he gives in chapter 1 as a problem posed for the ‘external realist’, who assumes the possibility of a God’s eye point of view. -
Lessons of Bell's Theorem
Lessons of Bell's Theorem: Nonlocality, yes; Action at a distance, not necessarily. Wayne C. Myrvold Department of Philosophy The University of Western Ontario Forthcoming in Shan Gao and Mary Bell, eds., Quantum Nonlocality and Reality { 50 Years of Bell's Theorem (Cambridge University Press) Contents 1 Introduction page 1 2 Does relativity preclude action at a distance? 2 3 Locally explicable correlations 5 4 Correlations that are not locally explicable 8 5 Bell and Local Causality 11 6 Quantum state evolution 13 7 Local beables for relativistic collapse theories 17 8 A comment on Everettian theories 19 9 Conclusion 20 10 Acknowledgments 20 11 Appendix 20 References 25 1 Introduction 1 1 Introduction Fifty years after the publication of Bell's theorem, there remains some con- troversy regarding what the theorem is telling us about quantum mechanics, and what the experimental violations of Bell inequalities are telling us about the world. This chapter represents my best attempt to be clear about what I think the lessons are. In brief: there is some sort of nonlocality inherent in any quantum theory, and, moreover, in any theory that reproduces, even approximately, the quantum probabilities for the outcomes of experiments. But not all forms of nonlocality are the same; there is a distinction to be made between action at a distance and other forms of nonlocality, and I will argue that the nonlocality needed to violate the Bell inequalities need not involve action at a distance. Furthermore, the distinction between forms of nonlocality makes a difference when it comes to compatibility with relativis- tic causal structure. -
The Minimal Modal Interpretation of Quantum Theory
The Minimal Modal Interpretation of Quantum Theory Jacob A. Barandes1, ∗ and David Kagan2, y 1Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138 2Department of Physics, University of Massachusetts Dartmouth, North Dartmouth, MA 02747 (Dated: May 5, 2017) We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory's basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, and our interpretation extends this intuitive picture of states and Hilbert-space trajectories to the more realistic case of open quantum systems despite the generic development of entanglement. We provide independent justification for the partial-trace operation for density matrices, reformulate wave-function collapse in terms of an underlying interpolating dynamics, derive the Born rule from deeper principles, resolve several open questions regarding ontological stability and dynamics, address a number of familiar no-go theorems, and argue that our interpretation is ultimately compatible with Lorentz invariance. Along the way, we also investigate a number of unexplored features of quantum theory, including an interesting geometrical structure|which we call subsystem space|that we believe merits further study. We conclude with a summary, a list of criteria for future work on quantum foundations, and further research directions. We include an appendix that briefly reviews the traditional Copenhagen interpretation and the measurement problem of quantum theory, as well as the instrumentalist approach and a collection of foundational theorems not otherwise discussed in the main text. -
Meaning Ain't in the Head 1. Hilary Putnam (1926-2016)
Louis deRosset { Spring 2019 Putnam: Meaning Ain't in the Head 1. Hilary Putnam (1926-2016): Philosopher, logician, mathematician. Putnam is famous for important and seminal work in just about every sub- field in philosophy. 2. Putnam's Target: . two unchallenged assumptions: (1) That knowing the meaning of a term is just a matter of being in a certain psychological state. (2) That the meaning of a term determines its extension. (700) DEFINITION: The extension of a term is its nominatum: • for names, definite descriptions: a certain person, place, or thing. EX.: `Obama', `The president of the U.S.' • for predicates: the set of things of which the predicate is true. EX.: `is a student', `is a person'. Putnam's Target is the Fregean theory of intentionality: The Fregean Triangle (yet again!): Sense 4< expresses determines #+ expression Nominatum Putnam (following Carnap) uses different terminology for the same ideas: Frege says... Putnam says... sense meaning, intension nominatum extension The Fregean Triangle (Putnam's terms): meaning 3; expresses determines expression extension"* Putnam adds the speaker to the picture [BLACKBOARD: draw the speaker with a speech balloon around the expression]. Louis deRosset { Spring 2019 In this situation, Putnam (following Frege), says that the speaker grasps the sense. [BLACKBOARD: draw the grasping relation between the speaker and the sense]. Putnam's target: (a) grasping a meaning is a psychological state; and (b) meaning determines extension, (i.e. if A and B grasp the same meaning, their expressions have the same extension.) 3. Putnam's Thesis: I shall argue that these two assumptions are not jointly sat- isfied by any notion, let alone any notion of meaning. -
A Historical Survey of Sir Karl Popper's Contribution to Quantum
A Historical Survey of Sir Karl Popper’s Contribution to Quantum Mechanics William M. Shields Worcester Polytechnic Institute, Worcester, Massachusetts, United States. E-mail: [email protected] Editors: Ion C. Baianu, Christoph Lehner, Debajyoti Gangopadhyay & Danko Georgiev Article history: Submitted on May 28, 2012; Accepted on July 28, 2012; Published on November 15, 2012. ir Karl Popper (1902–1994), though not 1 Popper in the physics journals trained as a physicist and embarrassed early Sin his career by a physics error pointed out by Sir Karl Popper, by any measure one of the preeminent Einstein and Bohr, ultimately made substantial con- philosophers of the twentieth century, died in 1994 at the tributions to the interpretation of quantum mechan- age of 92. He was productive to the end, publishing in ics. As was often the case, Popper initially formu- the year of his death a criticism of Kuhn’s incommensu- lated his position by criticizing the views of others – rability of paradigms [1]. That debate continues over his in this case Niels Bohr and Werner Heisenberg. Un- many and profound philosophical ideas and opinions is derlying Popper’s criticism was his belief that, first, hardly surprising, almost two decades after his death. The the Copenhagen interpretation of quantum mechan- proliferation of book-length biographies and scholarly ics abandoned scientific realism and second, the as- philosophical articles is testimony to Popper’s standing as sertion that quantum theory was complete (an asser- a philosopher [2–5]. Major conferences are also regularly tion rejected by Einstein among others) amounted held on the thought of Karl Popper [6, 7]. -
Hilary Putnam: Mind, Meaning and Reality
Hilary Putnam: On Mind, Meaning and Reality Interview by Josh Harlan HRP: What are the ultimate goals of the philosophy of mind? What distinguishes the philosophy of mind from such fields as neuroscience, cognitive science, and psychology? Putnam: Like all branches of philosophy, philosophy of mind is the dis- cussion of a loose cluster of problems, to which problems get added (and sometimes subtracted) in the course of time. To make things more com- plicated, the notion of the "mind" is itself one which has changed a great deal through the millenia. Aristotle, for example, has no notion which exactly corresponds to our notion of "mind". The psyche, or soul, in Aristotle's philosophy is not the same as our "mind" because its functions include such "non-mental" functions as digestion and reproduction. (This is so because the "sou1"'is simply the form of the organized living body in Aristotle's philosophy. Is this obviously a worse notion than our present- day notion of "mind"?) And the nous, or reason, in Aristotle's philosophy, excludes many functions which we regard as mental (some of which are taken over by the thumos, the integrative center which Aristotle locates in the heart). Even in my lifetime I have seen two very different ways of conceiving the mind: one, which descended from British empiricism, conceived of the mental as primarily composed of sensations. "Are sensations (or qualia, as philosophers sometimes say) identical with brain processes?" was the "mind-body problem" for this tradition. (The mind conceived of as a "bundle of sensations" might be called "the English mind".) The other way conceived of the mind as primarily characterized by reason and inten- tionality - by the ability to judge, and to refer. -
10 Bibliography
10 Bibliography [1] T. S. Kuhn, The structure of scientific revolutions, International Encyclopedia of Unified Science, vol. 2, no. 2, Chicago: The University of Chicago Press, 1970. [2] Wikiquote, "Niels Bohr --- Wikiquote," 2017. [Online]. Available: https://en.wikiquote.org/w/index.php?title=Niels_Bohr&oldid=2297980. [3] D. Howard, "Nicht Sein Kann was Nicht Sein Darf, or the Prehistory of EPR, 1909-1935: Einstein's Early Worries about the Quantum Mechanics of Composite Systems," in Sixty-Two Years of Uncertainty, A. I. Miller, Ed., New York, Plenum Press, 1990. [4] G. Bacciagaluppi and A. Valentini, Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference, Cambridge University Press, 2013. [5] P. Holland, The Quantum Theory of Motion: An Account of the de Broglie- Bohm Causal Interpretation of Quantum Mechanics, Cambridge University Press, 1995. [6] M. Born, "On the Quantum Mechanics of Collisions," in Quantum theory and measurement, Princeton University Press (Orig. article published in 1927), 1983, p. 52. [7] W. Heisenberg, "The physical content of quantum kinematics and mechanics," in Quantum Theory and Measurement, Princeton University Press, 1983 (Orig. article published in 1927), pp. 62-84. [8] L. I. Mandelstamm and I. E. Tamm, "The Uncertainty Relation between Energy and Time in Non-relativistic Quantum Mechanics," Journal of Physics, USSR, vol. 9, pp. 249-254, 1945. [9] A. Pais, Niels Bohr's Times in Physics, Philosophy, and Polity, Oxford: Oxford University Press, 1991. [10] M. Born, "The statistical interpretation of quantum mechanics," 1954. [Online]. Available: www.nobelprize.org/nobel_prizes/physics/laureates/1954/born- lecture.pdf. [11] M. H. Stone, "On One-Parameter Unitary Groups in Hilbert Space," Annals of Mathematics, vol. -
Loopholes in Bell Inequality Tests of Local Realism
Loopholes in Bell inequality tests of local realism Jan-Åke Larsson Linköping University Post Print N.B.: When citing this work, cite the original article. Original Publication: Jan-Åke Larsson, Loopholes in Bell inequality tests of local realism, 2014, Journal of Physics A: Mathematical and Theoretical, (47), 42, 424003. http://dx.doi.org/10.1088/1751-8113/47/42/424003 Copyright: IOP Publishing: Hybrid Open Access http://www.iop.org/ Postprint available at: Linköping University Electronic Press http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-112644 Loopholes in Bell Inequality Tests of Local Realism Jan-Ake˚ Larsson Institutionen f¨orsystemteknik, Link¨opingsUniversitet, 581 83 Link¨oping,Sweden E-mail: [email protected] Abstract. Bell inequalities are intended to show that local realist theories cannot describe the world. A local realist theory is one where physical properties are defined prior to and independent of measurement, and no physical influence can propagate faster than the speed of light. Quantum-mechanical predictions for certain experiments violate the Bell inequality while a local realist theory cannot, and this shows that a local realist theory cannot give those quantum-mechanical predictions. However, because of unexpected circumstances or \loopholes" in available experiment tests, local realist theories can reproduce the data from these experiments. This paper reviews such loopholes, what effect they have on Bell inequality tests, and how to avoid them in experiment. Avoiding all these simultaneously in one experiment, usually called a \loophole-free" or “definitive" Bell test, remains an open task, but is very important for technological tasks such as device-independent security of quantum cryptography, and ultimately for our understanding of the world. -
MURPHY, Alice. Thought Experiments and the Scientific Imagination. Phd
i Thought Experiments and the Scientific Imagination Alice Murphy Submitted in accordance with the requirements for the degree of Doctor of Philosophy The University of Leeds School of Philosophy, Religion, and History of Science September 2020 ii The candidate confirms that the work submitted is her own and that appropriate credit has been given where reference has been made to the work of others. This copy has been supplied on the understanding that it is copyright material and that no quotation from the thesis may be published without proper acknowledgement. The right of Alice Murphy to be identified as Author of this work has been asserted by her in accordance with the Copyright, Designs and Patents Act 1988. © 2020 The University of Leeds and Alice Murphy iii Acknowledgements Firstly, a huge thank you to my supervisors, Steven French and Aaron Meskin. It’s hard to do justice to the support and insights that you have each provided over the past four years. Steven has been endlessly generous, and has an open minded approach to research that is a constant source of inspiration. Aaron’s meticulous attention to detail has made me a more careful writer and thinker. You’ve both enabled me to form sketchy ideas into arguments, spurred me on when I’ve been lacking in confidence, and have made the whole process energising and, dare I say it, fun. At the risk of causing too high of expectations of the thesis that follows, I also want to say thank you to Milena Ivanova, Andrea Blomqvist, Mike Stuart, Max Jones, Fiora Salis, Karim Thébault and Adrian Currie for incredibly valuable conversations and feedback. -
Lessons of Bell's Theorem: Nonlocality, Yes; Action at a Distance, Not Necessarily
Lessons of Bell's Theorem: Nonlocality, yes; Action at a distance, not necessarily. Wayne C. Myrvold Department of Philosophy The University of Western Ontario Forthcoming in Shan Gao and Mary Bell, eds., Quantum Nonlocality and Reality { 50 Years of Bell's Theorem (Cambridge University Press) Contents 1 Introduction. page 1 2 Does relativity preclude action at a distance? 2 3 Locally explicable correlations. 5 4 Correlations that are not locally explicable 9 5 Bell and Local Causality 11 6 Quantum state evolution 13 7 Local beables for relativistic collapse theories 17 8 A comment on Everettian theories 19 9 Conclusion 20 10 Acknowledgments 20 11 Appendix 20 References 25 1 Introduction. 1 1 Introduction. Fifty years after the publication of Bell's theorem, there remains some con- troversy regarding what the theorem is telling us about quantum mechanics, and what the experimental violations of Bell inequalities are telling us about the world. This chapter represents my best attempt to be clear about what I think the lessons are. In brief: there is some sort of nonlocality inherent in any quantum theory, and, moreover, in any theory that reproduces, even approximately, the quantum probabilities for the outcomes of experiments. But not all forms of nonlocality are the same; there is a distinction to be made between action at a distance and other forms of nonlocality, and I will argue that the nonlocality required to violate the Bell inequalities need not involve action at a distance. Furthermore, the distinction between forms of nonlocality makes a difference when it comes to compatibility with relativis- tic causal structure. -
Philosophical Imagination
Philosophical Imagination Philosophical Imagination: Thought Experiments and Arguments in Antiquity Edited by Boris Vezjak Philosophical Imagination: Thought Experiments and Arguments in Antiquity Edited by Boris Vezjak This book first published 2021 Cambridge Scholars Publishing Lady Stephenson Library, Newcastle upon Tyne, NE6 2PA, UK British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Copyright © 2021 by Boris Vezjak and contributors All rights for this book reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the copyright owner. ISBN (10): 1-5275-6975-6 ISBN (13): 978-1-5275-6975-1 TABLE OF CONTENTS Preface ...................................................................................................... vii List of Contributors ................................................................................... xi Part 1: Thought Experiments from Plato to Hume Chapter One ................................................................................................ 3 The Anatomy of Three Thought Experiments in Plato’s Republic, Apology, and in Alcibiades Minor Andre M. Archie Chapter Two ............................................................................................. 25 From Kallipolis to Utopia: The Metamorphoses of Ideal Theory Nenad Miščević Chapter Three .......................................................................................... -
Quantum Computation Beyond the Unitary Circuit Model
Quantum Computation Beyond the Unitary Circuit Model Na¨ıri Usher A thesis submitted to University College London for the degree of Doctor of Philosophy Department of Physics and Astronomy University College London September 2016 I, Na¨ıri Usher, confirm that the work presented in this thesis is my own. Where information has been derived from other sources, I confirm that this has been indicated in the thesis. Signed: Date: 1 Publications The majority of the work presented in this thesis contains materials from the following publications: N. Usher, and D.E. Browne, Noise in Measurement-Based Quantum Computing, arXiv:1704.07298. N. Usher, M.J. Hoban, and D.E. Browne, Constructing Local Hamiltonians from Non-unitary Quan- tum Computation, arXiv:1703:08118. M.J. Hoban, J.J. Wallman, H. Anwar, N. Usher, R. Raussendorf, and D.E. Browne, Measurement- Based Classical Computation, Phys. Rev. Lett. 112, 140505 (2014). 2 Acknowledgements I am thankful for my time at UCL which has brought to me more than words can convey. First and foremost, I am thankful to Dan for having supported and guided me throughout my PhD with endless patience and kindness. I am truly grateful for his encouragement to explore and investigate questions I found interesting as well as for everything I had the chance to learn from him. I wish to thank my examiners Shashank and Sougato for having taken the time to read this thesis as well as for offering valuable feedback for its improvement. I was fortunate to collaborate with Matty, with whom I shared many both interesting and entertaining discussions, and I am thankful for his invaluable insights and encouragement.