Nonlocality in Bell's Theorem, in Bohm's Theory, and in Many
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Relational Quantum Mechanics
Relational Quantum Mechanics Matteo Smerlak† September 17, 2006 †Ecole normale sup´erieure de Lyon, F-69364 Lyon, EU E-mail: [email protected] Abstract In this internship report, we present Carlo Rovelli’s relational interpretation of quantum mechanics, focusing on its historical and conceptual roots. A critical analysis of the Einstein-Podolsky-Rosen argument is then put forward, which suggests that the phenomenon of ‘quantum non-locality’ is an artifact of the orthodox interpretation, and not a physical effect. A speculative discussion of the potential import of the relational view for quantum-logic is finally proposed. Figure 0.1: Composition X, W. Kandinski (1939) 1 Acknowledgements Beyond its strictly scientific value, this Master 1 internship has been rich of encounters. Let me express hereupon my gratitude to the great people I have met. First, and foremost, I want to thank Carlo Rovelli1 for his warm welcome in Marseille, and for the unexpected trust he showed me during these six months. Thanks to his rare openness, I have had the opportunity to humbly but truly take part in active research and, what is more, to glimpse the vivid landscape of scientific creativity. One more thing: I have an immense respect for Carlo’s plainness, unaltered in spite of his renown achievements in physics. I am very grateful to Antony Valentini2, who invited me, together with Frank Hellmann, to the Perimeter Institute for Theoretical Physics, in Canada. We spent there an incredible week, meeting world-class physicists such as Lee Smolin, Jeffrey Bub or John Baez, and enthusiastic postdocs such as Etera Livine or Simone Speziale. -
The E.P.R. Paradox George Levesque
Undergraduate Review Volume 3 Article 20 2007 The E.P.R. Paradox George Levesque Follow this and additional works at: http://vc.bridgew.edu/undergrad_rev Part of the Quantum Physics Commons Recommended Citation Levesque, George (2007). The E.P.R. Paradox. Undergraduate Review, 3, 123-130. Available at: http://vc.bridgew.edu/undergrad_rev/vol3/iss1/20 This item is available as part of Virtual Commons, the open-access institutional repository of Bridgewater State University, Bridgewater, Massachusetts. Copyright © 2007 George Levesque The E.P.R. Paradox George Levesque George graduated from Bridgewater his paper intends to discuss the E.P.R. paradox and its implications State College with majors in Physics, for quantum mechanics. In order to do so, this paper will discuss the Mathematics, Criminal Justice, and features of intrinsic spin of a particle, the Stern-Gerlach experiment, Sociology. This piece is his Honors project the E.P.R. paradox itself and the views it portrays. In addition, we will for Electricity and Magnetism advised by consider where such a classical picture succeeds and, eventually, as we will see Dr. Edward Deveney. George ruminated Tin Bell’s inequality, fails in the strange world we live in – the world of quantum to help the reader formulate, and accept, mechanics. why quantum mechanics, though weird, is valid. Intrinsic Spin Intrinsic spin angular momentum is odd to describe by any normal terms. It is unlike, and often entirely unrelated to, the classical “orbital angular momentum.” But luckily we can describe the intrinsic spin by its relationship to the magnetic moment of the particle being considered. -
Theoretical Physics Group Decoherent Histories Approach: a Quantum Description of Closed Systems
Theoretical Physics Group Department of Physics Decoherent Histories Approach: A Quantum Description of Closed Systems Author: Supervisor: Pak To Cheung Prof. Jonathan J. Halliwell CID: 01830314 A thesis submitted for the degree of MSc Quantum Fields and Fundamental Forces Contents 1 Introduction2 2 Mathematical Formalism9 2.1 General Idea...................................9 2.2 Operator Formulation............................. 10 2.3 Path Integral Formulation........................... 18 3 Interpretation 20 3.1 Decoherent Family............................... 20 3.1a. Logical Conclusions........................... 20 3.1b. Probabilities of Histories........................ 21 3.1c. Causality Paradox........................... 22 3.1d. Approximate Decoherence....................... 24 3.2 Incompatible Sets................................ 25 3.2a. Contradictory Conclusions....................... 25 3.2b. Logic................................... 28 3.2c. Single-Family Rule........................... 30 3.3 Quasiclassical Domains............................. 32 3.4 Many History Interpretation.......................... 34 3.5 Unknown Set Interpretation.......................... 36 4 Applications 36 4.1 EPR Paradox.................................. 36 4.2 Hydrodynamic Variables............................ 41 4.3 Arrival Time Problem............................. 43 4.4 Quantum Fields and Quantum Cosmology.................. 45 5 Summary 48 6 References 51 Appendices 56 A Boolean Algebra 56 B Derivation of Path Integral Method From Operator -
On Relational Quantum Mechanics Oscar Acosta University of Texas at El Paso, [email protected]
University of Texas at El Paso DigitalCommons@UTEP Open Access Theses & Dissertations 2010-01-01 On Relational Quantum Mechanics Oscar Acosta University of Texas at El Paso, [email protected] Follow this and additional works at: https://digitalcommons.utep.edu/open_etd Part of the Philosophy of Science Commons, and the Quantum Physics Commons Recommended Citation Acosta, Oscar, "On Relational Quantum Mechanics" (2010). Open Access Theses & Dissertations. 2621. https://digitalcommons.utep.edu/open_etd/2621 This is brought to you for free and open access by DigitalCommons@UTEP. It has been accepted for inclusion in Open Access Theses & Dissertations by an authorized administrator of DigitalCommons@UTEP. For more information, please contact [email protected]. ON RELATIONAL QUANTUM MECHANICS OSCAR ACOSTA Department of Philosophy Approved: ____________________ Juan Ferret, Ph.D., Chair ____________________ Vladik Kreinovich, Ph.D. ___________________ John McClure, Ph.D. _________________________ Patricia D. Witherspoon Ph. D Dean of the Graduate School Copyright © by Oscar Acosta 2010 ON RELATIONAL QUANTUM MECHANICS by Oscar Acosta THESIS Presented to the Faculty of the Graduate School of The University of Texas at El Paso in Partial Fulfillment of the Requirements for the Degree of MASTER OF ARTS Department of Philosophy THE UNIVERSITY OF TEXAS AT EL PASO MAY 2010 Acknowledgments I would like to express my deep felt gratitude to my advisor and mentor Dr. Ferret for his never-ending patience, his constant motivation and for not giving up on me. I would also like to thank him for introducing me to the subject of philosophy of science and hiring me as his teaching assistant. -
Path Integral Implementation of Relational Quantum Mechanics
Path Integral Implementation of Relational Quantum Mechanics Jianhao M. Yang ( [email protected] ) Qualcomm (United States) Research Article Keywords: Relational Quantum mechanics, Path Integral, Entropy, Inuence Functional Posted Date: February 18th, 2021 DOI: https://doi.org/10.21203/rs.3.rs-206217/v1 License: This work is licensed under a Creative Commons Attribution 4.0 International License. Read Full License Version of Record: A version of this preprint was published at Scientic Reports on April 21st, 2021. See the published version at https://doi.org/10.1038/s41598-021-88045-6. Path Integral Implementation of Relational Quantum Mechanics Jianhao M. Yang∗ Qualcomm, San Diego, CA 92121, USA (Dated: February 4, 2021) Relational formulation of quantum mechanics is based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum mechanics. In the recent works (J. M. Yang, Sci. Rep. 8:13305, 2018), basic relational quantum mechanics framework is formulated to derive quantum probability, Born’s Rule, Schr¨odinger Equations, and measurement theory. This paper gives a concrete implementation of the relational probability amplitude by extending the path integral formulation. The implementation not only clarifies the physical meaning of the relational probability amplitude, but also gives several important applications. For instance, the double slit experiment can be elegantly explained. A path integral representation of the reduced density matrix of the observed system can be derived. Such representation is shown valuable to describe the interaction history of the measured system and a series of measuring systems. -
Bachelorarbeit
Bachelorarbeit The EPR-Paradox, Nonlocality and the Question of Causality Ilvy Schultschik angestrebter akademischer Grad Bachelor of Science (BSc) Wien, 2014 Studienkennzahl lt. Studienblatt: 033 676 Studienrichtung lt. Studienblatt: Physik Betreuer: Univ. Prof. Dr. Reinhold A. Bertlmann Contents 1 Motivation and Mathematical framework 2 1.1 Entanglement - Separability . .2 1.2 Schmidt Decomposition . .3 2 The EPR-paradox 5 2.1 Introduction . .5 2.2 Preface . .5 2.3 EPR reasoning . .8 2.4 Bohr's reply . 11 3 Hidden Variables and no-go theorems 12 4 Nonlocality 14 4.1 Nonlocality and Quantum non-separability . 15 4.2 Teleportation . 17 5 The Bell theorem 19 5.1 Bell's Inequality . 19 5.2 Derivation . 19 5.3 Violation by quantum mechanics . 21 5.4 CHSH inequality . 22 5.5 Bell's theorem and further discussion . 24 5.6 Different assumptions . 26 6 Experimental realizations and loopholes 26 7 Causality 29 7.1 Causality in Special Relativity . 30 7.2 Causality and Quantum Mechanics . 33 7.3 Remarks and prospects . 34 8 Acknowledgment 35 1 1 Motivation and Mathematical framework In recent years, many physicists have taken the incompatibility between cer- tain notions of causality, reality, locality and the empirical data less and less as a philosophical discussion about interpretational ambiguities. Instead sci- entists started to regard this tension as a productive resource for new ideas about quantum entanglement, quantum computation, quantum cryptogra- phy and quantum information. This becomes especially apparent looking at the number of citations of the original EPR paper, which has risen enormously over recent years, and be- coming the starting point for many groundbreaking ideas. -
Many Worlds Model Resolving the Einstein Podolsky Rosen Paradox Via a Direct Realism to Modal Realism Transition That Preserves Einstein Locality
Many Worlds Model resolving the Einstein Podolsky Rosen paradox via a Direct Realism to Modal Realism Transition that preserves Einstein Locality Sascha Vongehr †,†† †Department of Philosophy, Nanjing University †† National Laboratory of Solid-State Microstructures, Thin-film and Nano-metals Laboratory, Nanjing University Hankou Lu 22, Nanjing 210093, P. R. China The violation of Bell inequalities by quantum physical experiments disproves all relativistic micro causal, classically real models, short Local Realistic Models (LRM). Non-locality, the infamous “spooky interaction at a distance” (A. Einstein), is already sufficiently ‘unreal’ to motivate modifying the “realistic” in “local realistic”. This has led to many worlds and finally many minds interpretations. We introduce a simple many world model that resolves the Einstein Podolsky Rosen paradox. The model starts out as a classical LRM, thus clarifying that the many worlds concept alone does not imply quantum physics. Some of the desired ‘non-locality’, e.g. anti-correlation at equal measurement angles, is already present, but Bell’s inequality can of course not be violated. A single and natural step turns this LRM into a quantum model predicting the correct probabilities. Intriguingly, the crucial step does obviously not modify locality but instead reality: What before could have still been a direct realism turns into modal realism. This supports the trend away from the focus on non-locality in quantum mechanics towards a mature structural realism that preserves micro causality. Keywords: Many Worlds Interpretation; Many Minds Interpretation; Einstein Podolsky Rosen Paradox; Everett Relativity; Modal Realism; Non-Locality PACS: 03.65. Ud 1 1 Introduction: Quantum Physics and Different Realisms ............................................................... -
John Von Neumann's “Impossibility Proof” in a Historical Perspective’, Physis 32 (1995), Pp
CORE Metadata, citation and similar papers at core.ac.uk Provided by SAS-SPACE Published: Louis Caruana, ‘John von Neumann's “Impossibility Proof” in a Historical Perspective’, Physis 32 (1995), pp. 109-124. JOHN VON NEUMANN'S ‘IMPOSSIBILITY PROOF’ IN A HISTORICAL PERSPECTIVE ABSTRACT John von Neumann's proof that quantum mechanics is logically incompatible with hidden varibales has been the object of extensive study both by physicists and by historians. The latter have concentrated mainly on the way the proof was interpreted, accepted and rejected between 1932, when it was published, and 1966, when J.S. Bell published the first explicit identification of the mistake it involved. What is proposed in this paper is an investigation into the origins of the proof rather than the aftermath. In the first section, a brief overview of the his personal life and his proof is given to set the scene. There follows a discussion on the merits of using here the historical method employed elsewhere by Andrew Warwick. It will be argued that a study of the origins of von Neumann's proof shows how there is an interaction between the following factors: the broad issues within a specific culture, the learning process of the theoretical physicist concerned, and the conceptual techniques available. In our case, the ‘conceptual technology’ employed by von Neumann is identified as the method of axiomatisation. 1. INTRODUCTION A full biography of John von Neumann is not yet available. Moreover, it seems that there is a lack of extended historical work on the origin of his contributions to quantum mechanics. -
David Bohm's Theory of the Implicate Order: Implications for Holistic Thought Processes*
ISSUES IN INTEGRATVE STUDIES No. 13, pp. 1-23 (1995) David Bohm's Theory of the Implicate Order: Implications for Holistic Thought Processes* by Irene J. Dabrowski, Ph.D. Division of Social Services, St. John's University, New York Abstract: David Bohm's theory of quantum physics, which focuses on the schism between matter and consciousness, is discussed in terms of positivist knowledge and the interdisciplinary holistic paradigm. This paper examines how scientific and educational holism, predicated on the relationship between knowledge and reality, fosters innovative approaches such as evolutionary learning, a pedagogical application of general systems theory. In pursuit of right- brain thought and a unified knowledge base, diverse modes of inquiry are presented in the context of Bohm's thesis of an implicate order. Given that holistic thought processes generate a reality-based knowledge, problem-solving styles are examined, which reveal the holistic orientation of proactive problem-solving. Interdisciplinary dialogue is identified as an essential way for moving toward holistic expressions and networks of thought. NEW VERSIONS of the sciences as well as other academic disciplines are being formulated in terms of a naturalistic mode of inquiry (Lincoln, 1989; Palm, 1979). The emergent post-positivist paradigm is directed toward a holistic conception of reality, replacing the Cartesian, mechanistic mode of conceptualization (Capra, 1982; Guba, 1981; Lincoln, 1989; Turner, 1990), In fact, characteristics of the "whole paradigm" are being identified in a variety of disciplines (Lincoln, 1989, p. 69). New dimensions include a refocusing from simple to complex realities, the movement from the mechanical to the holographic, and the emphasis from linear to mutual causality (Lincoln & Guba, 1985; Macy, 1991; Schwartz & Ogilvy, 1979). -
The Hidden- Variables Controversy in Quantum Physics
Phys Educ Vol 14, 1979 Prlnted in Great Brltaln CONTROVERSIESIN PHYSICS aggressiveness which resembles more the defence of orthodoxy of one ideology than a spirit of scientific objectivity’ (Jauch 1973, introduction). The hidden- ‘The entirely reasonable question, Are there hidden- variable theories consistent with quantum theory and variables if so whatare their characteristics?,has been unfortunately clouded by emotionalism’ (Ballentine controversy in 1970, p374). Perhaps some of the acrimonv which has surrounded this debate can be seen in the following quantum physics comment on the workof hidden-variable theorists made by Leon Rosenfeld, an eminent physicist and TREVOR J PINCH defender of the orthodoxview of quantum theory: Science Studies Centre, Universityof Bath ‘That suchirrational dogmatists shouldhurl the very accusation of irrationality and dogmatism at the defenders of the common-sense, uncommitted attitude of other scientists is the crowning paradox which gives Recent studies of controversies in science have shown a touch of comedy to a controversy so distressingly that they are not always settled by appeals to Nature pointless and untimely’ (Rosenfeld 1958, p658). alone. Social and political factors as well as scientific These are hardly the sorts of comments we would factors often combine to produce the outcome(see for expect to follow from unproblematicreadings of example Forman 1971, Collins 1975, Frankel 1976 Nature’s secrets. So what was at stake in this dispute? and Wynne 1976). The ‘truth’, it seems, emerges from To answer this question we need to go back to the whatcan be asurprisingly volatile struggle, very revolution in physics brought about by the develop- unlike the rarified atmosphere of noblesse within ment of quantum theoryin the 1920s. -
EPR Paradox Solved by Special Theory of Relativity J
Vol. 125 (2014) ACTA PHYSICA POLONICA A No. 5 EPR Paradox Solved by Special Theory of Relativity J. Lee 17161 Alva Rd. #1123, San Diego, CA 92127, U.S.A. (Received November 7, 2013) This paper uses the special theory of relativity to introduce a novel solution to EinsteinPodolskyRosen paradox. More specically, the faster-than-light communication is described to explain two types of EPR paradox experiments: photon polarization and electronpositron pair spins. Most importantly, this paper explains why this faster-than-light communication does not violate the special theory of relativity. DOI: 10.12693/APhysPolA.125.1107 PACS: 03.65.Ud 1. Introduction At this point, it is very important to note that both EPR paradox and Bell's inequality theorem assume that EPR paradox refers to the thought experiment de- faster-than-light (FTL) communication between the two signed by Einstein, Podolsky, and Rosen (EPR) to show entangled systems is theoretically impossible [1, 3]. It is the incompleteness of wave function in quantum mechan- the intent of this paper to show how the FTL commu- ics (QM) [1]. In QM, the Heisenberg uncertainty princi- nication could be possible without violating the special ple places a limitation on how precisely two complemen- theory of relativity (SR). In short, it is the innite time tary physical properties of a system can be measured si- dilation that would be responsible for the instant FTL multaneously [2]. EPR came up with the following para- communication. doxical scenario where the two properties, i.e. momen- 2. Methods tum and position, could be measured precisely, and thus The two common types of Bell's inequality experiments would contradict the Heisenberg uncertainty principle. -
SENTENARYO NG TEORYANG GENERAL RELATIVITY March 14, 2016 (1 - 3 Pm), NIP Auditorium, up Diliman Program Emcees: Ms
SENTENARYO NG TEORYANG GENERAL RELATIVITY March 14, 2016 (1 - 3 pm), NIP Auditorium, UP Diliman Program Emcees: Ms. Cherrie Olaya and Mr. Nestor Bareza National Anthem Welcome Remarks Academician William G. Padolina (NAST) Presentation 1 Einstein: Science, Image, and Impact (Dr. Perry Esguerra) Presentation 2 Einstein and the Music of the Spheres (Dr. Ian Vega) Intermission NIP Resonance Choir Presentation 3 From Einstein’s Universe to the Multiverse (Dr. Reina Reyes) Open Forum* *Moderators: Dr. May Lim and Dr. Nathaniel Hermosa II Closing Remarks Dr. Jose Maria P. Balmaceda (UP College of Science) (Refreshments will be served at the NIP Veranda) What’s Inside? Organizing Committee Messages p.1 Extended Abstracts 8 Dr. Percival Almoro (Chair) Einstein chronology 18 Dr. Perry Esguerra Einstein quotations 19 Dr. Ian Vega Dr. Caesar Saloma (Convenor) Outside Front Cover Outside Back Cover Inside Back Cover Einstein in Vienna, 1921 Depiction of gravitational waves Galaxies By: F. Schmutzer generated by binary neutron stars. By: Hubble Ultra Deep Field (Wikimedia Commons) By: R. Hurt/Caltech-JPL (http://hyperphysics.phy-astr.gsu. (http://www.jpl.nasa.gov/im- edu/hbase/astro/deepfield.html) ages/universe/20131106/pul- sar20131106-full.jpg) Acknowledgements Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) 1 2 Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) 3 4 Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) http://www.npr.org/sections/thetwo-way/2016/02/11/466286219/in-milestone- scientists-detect-waves-in-space-time-as-black-holes-collide https://www.youtube.com/watch?v=B4XzLDM3Py8 https://soundcloud.com/emily-lakdawalla Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) 5 6 Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) Sentenaryo ng Teoryang General Relativity (March 14, 2016, UP-NIP) 7 Einstein: Science, Image, and Impact By Perry Esguerra ‘WHY is it that nobodY for photoluminescence, the ory of relativity.