The Quantum World the Disturbing Theory at the Heart of Reality
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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. -
God and Contrasting Interpretations of Quantum Theory
S & CB (2005), 17, 155–175 0954–4194 ROGER PAUL Relative State or It-from-Bit: God and Contrasting Interpretations of Quantum Theory In this article I explore theological implications of two contrasting interpretations of quantum theory: the Relative State interpretation of Hugh Everett III, and the It-from-Bit proposal of John A. Wheeler. The Relative State interpretation considers the Universal Wave Function to be a complete description of reality. Measurement results in a branching process that can be interpreted in terms of many worlds or many minds. I discuss issues of the identity of observers in a branching universe, the ways God may interact with the deterministic, isolated quantum universe and the relative nature of salvation history from a perspective within a branch. In contrast, irreversible, elementary acts of observation are considered to be the foundation of reality in the It-from-Bit proposal. Information gained through observer-participancy (the ‘bits’) constructs the fabric of the physical universe (‘it’), in a self-excited circuit. I discuss whether meaning, including religious faith, is a human construct, and whether creation is co- creation, in which divine power and supremacy are limited by the emergence of a participatory universe. By taking these two contrasting interpretations of quantum theory seriously, I hope to show that the interpretation of quantum mechanics we start from matters theologically. Key words: Quantum theory, theology, relative state, many worlds, it-from- bit, observer-participancy, human identity, divine simplicity, co-creation, salvation history. Theological thinking about quantum mechanics has tended to focus on the issue of Special Divine Action in relation to the uncertainty principle and quan- tum measurement.1 Inevitably, this work has been inconclusive, but has nev- ertheless succeeded in opening up the discussion. -
Life and Quantum Interconnectedness
Life and Quantum Interconnectedness Husin Alatas Theoretical Physics Division, Department of Physics, Faculty of Mathematics and Natural Sciences, IPB University; Center for Transdisciplinary and Sustainability Sciences, IPB University Presented at the Afternoon Discussion on Redesigning the Future (ADReF), CTSS-IPB University, June 30th 2020 Outline... Structure of Fundamental Matter Quantum World and its Weirdness Quantum Interpretations Life and Quantum Interconnectedness Disclaimer!… I am a theoretical physicist, not a philosopher… I have been trained as a reductionist, but now I am trying to be an integralist… Physics… Mainly about understanding nature phenomena based on OBSERVATION and MEASUREMENT conducted through scientific method Theoretical Physics?… Theoretical physics is a branch of physics that deals with rationalization, explanation, and prediction of phenomena in natural systems which is developed based on the combination of mathematics, abstraction, imagination, and intuition. Conducted research mainly based on curiosity with sky as its limit. Albert Einstein… “Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution”… Albert Szent-Györgyi… “As scientists attempt to understand a living system, they move down from dimension to dimension, from one level of complexity to the next lower level. I followed this course in my own studies. I went from anatomy to the study of tissues, then to electron microscopy and chemistry, and finally to quantum mechanics. This downward journey through the scale of dimensions has its irony, for in my search for the secret of life, I ended up with atoms and electrons, which have no life at all. Somewhere along the line life has run out through my fingers. -
Black Hole Entropy, the Black Hole Information Paradox, and Time Travel Paradoxes from a New Perspective
Black hole entropy, the black hole information paradox, and time travel paradoxes from a new perspective Roland E. Allen Physics and Astronomy Department, Texas A&M University, College Station, TX USA [email protected] 1 Black hole entropy, the black hole information paradox, and time travel paradoxes from a new perspective Relatively simple but apparently novel ways are proposed for viewing three related subjects: black hole entropy, the black hole information paradox, and time travel paradoxes. (1) Gibbons and Hawking have completely explained the origin of the entropy of all black holes, including physical black holes – nonextremal and in 3-dimensional space – if one can identify their Euclidean path integral with a true thermodynamic partition function (ultimately based on microstates). An example is provided of a theory containing this feature. (2) There is unitary quantum evolution with no loss of information if the detection of Hawking radiation is regarded as a measurement process within the Everett interpretation of quantum mechanics. (3) The paradoxes of time travel evaporate when exposed to the light of quantum physics (again within the Everett interpretation), with quantum fields properly described by a path integral over a topologically nontrivial but smooth manifold. Keywords: Black hole entropy, information paradox, time travel 1. Introduction The three issues considered in this paper have all been thoroughly discussed by many of the best theorists for several decades, in hundreds of extremely erudite articles and a large number of books. Here we wish to add to the discussion with some relatively simple but apparently novel ideas that involve, first, the interpretation of the Euclidean path integral as a true thermodynamic partition function, and second, the Everett interpretation of quantum mechanics. -
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 ............................................................... -
Adobe Acrobat PDF Document
BIOGRAPHICAL SKETCH of HUGH EVERETT, III. Eugene Shikhovtsev ul. Dzerjinskogo 11-16, Kostroma, 156005, Russia [email protected] ©2003 Eugene B. Shikhovtsev and Kenneth W. Ford. All rights reserved. Sources used for this biographical sketch include papers of Hugh Everett, III stored in the Niels Bohr Library of the American Institute of Physics; Graduate Alumni Files in Seeley G. Mudd Manuscript Library, Princeton University; personal correspondence of the author; and information found on the Internet. The author is deeply indebted to Kenneth Ford for great assistance in polishing (often rewriting!) the English and for valuable editorial remarks and additions. If you want to get an interesting perspective do not think of Hugh as a traditional 20th century physicist but more of a Renaissance man with interests and skills in many different areas. He was smart and lots of things interested him and he brought the same general conceptual methodology to solve them. The subject matter was not so important as the solution ideas. Donald Reisler [1] Someone once noted that Hugh Everett should have been declared a “national resource,” and given all the time and resources he needed to develop new theories. Joseph George Caldwell [1a] This material may be freely used for personal or educational purposes provided acknowledgement is given to Eugene B. Shikhovtsev, author ([email protected]), and Kenneth W. Ford, editor ([email protected]). To request permission for other uses, contact the author or editor. CONTENTS 1 Family and Childhood Einstein letter (1943) Catholic University of America in Washington (1950-1953). Chemical engineering. Princeton University (1953-1956). -
A Question of Quantum Reality 24 September 2020
A question of quantum reality 24 September 2020 virtuality. Bell spent most of his working life at CERN in Geneva, Switzerland, and Bertlmann first met him when he took up a short-term fellowship there in 1978. Bell had first presented his theorem in a seminal paper published in 1964, but this was largely neglected until the 1980s and the introduction of quantum information. Bertlmann discusses the concept of Bell inequalities, which arise through thought experiments in which a pair of spin-½ particles propagate in opposite directions and are measured Credit: Pixabay/CC0 Public Domain by independent observers, Alice and Bob. The Bell inequality distinguishes between local realism—the 'common sense' view in which Alice's observations do not depend on Bob's, and vice versa—and Physicist Reinhold Bertlmann of the University of quantum mechanics, or, specifically, quantum Vienna, Austria has published a review of the work entanglement. Two quantum particles, such as of his late long-term collaborator John Stewart Bell those in the Alice-Bob situation, are entangled of CERN, Geneva in EPJ H. This review, "Real or when the state measured by one observer Not Real: that is the question," explores Bell's instantaneously influences that of the other. This inequalities and his concepts of reality and theory is the basis of quantum information. explains their relevance to quantum information and its applications. And quantum information is no longer just an abstruse theory. It is finding applications in fields as John Stewart Bell's eponymous theorem and diverse as security protocols, cryptography and inequalities set out, mathematically, the contrast quantum computing.