Search Results for identity-and-indiscernibility-in-quantum-mechanics

This book analyzes metaphysical consequences of the quantum theory of many particles with respect to the fundamental notions of identity, individuality and discernibility.

Author: Tomasz Bigaj

Publisher: Springer Nature

ISBN: 9783030748708

Category: Electronic books

Page: 262

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This book analyzes metaphysical consequences of the quantum theory of many particles with respect to the fundamental notions of identity, individuality and discernibility. The main focus is on the proper interpretation of the quantum formalism in relation to the role of permutation invariance and the adequate representation of the properties of individual subsystems. Two main approaches to the issue of the individuation of quantum particles are distinguished and thoroughly discussed. These approaches differ radically with respect to their metaphysical consequences while one of them implies the complete indiscernibility of quantum particles of the same kind, the other one restores the possibility of discerning individual particles by their properties. We connect the problem of quantum individuation and discernibility with an analysis of the concept of quantum entanglement, and we also discuss identity over time and in counterfactual scenarios. Tomasz Bigaj is Professor of Philosophy at the University of Warsaw, Poland. His previous publications include the book Non-locality and Possible Worlds (2006) and numerous articles on various topics in philosophy of physics, philosophical logic and analytic metaphysics (Synthese, Erkenntnis, Foundations of Physics, Foundations of Science).
2021 By Tomasz Bigaj

So, while two quantum systems may be entangled in the actual world, in some accessible world, due to a measurement, ... Keywords: Indiscernibility; non identity; modal logic; quasi-set theory; nonstandard semantics. 1.

Author: Diederik Aerts

Publisher: World Scientific

ISBN: 9789813146297

Category: Mathematics

Page: 372

View: 246

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This book provides an interdisciplinary approach to one of the most fascinating and important open questions in science: What is quantum mechanics really talking about? In the last decades quantum mechanics has given rise to a new quantum technological era, a revolution taking place today especially within the field of quantum information processing; which goes from quantum teleportation and cryptography to quantum computation. Quantum theory is probably our best confirmed physical theory. However, in spite of its great empirical effectiveness it stands today still without a universally accepted physical representation that allows us to understand its relation to the world and reality. The novelty of the book comes from the multiple perspectives put forward by top researchers in quantum mechanics, from Europe as well as North and South America, discussing the meaning and structure of the theory of quanta. The book comprises in a balanced manner physical, philosophical, logical and mathematical approaches to quantum mechanics and quantum information. Going from quantum superpositions and entanglement to dynamics and the problem of identity; from quantum logic, computation and quasi-set theory to the category approach and teleportation; from realism and empiricism to operationalism and instrumentalism; the book considers from different angles some of the most intriguing questions in the field. From Buenos Aires to Brussels and Cagliari, from Florence to Florianópolis, the interaction between different groups is reflected in the many different articles. This book is interesting not only to the specialists but also to the general public attempting to get a grasp on some of the most fundamental questions of present quantum physics. Contents:On the Notion of Truth in Quantum Mechanics: A Category-Theoretic Standpoint (V Karakostas and E Zafiris)A Logical Account of Quantum Superpositions (D Krause and J R B Arenhart)Mixing Categories and Modal Logics in the Quantum Setting (G Cinà)Binary Gates in Three Valued Quantum Computational Logics (G Sergioli, A Ledda and R Giuntini)The GTR Model: A Universal Framework for Quantum-Like Measurements (D Aerts and M S de Bianchi)'Probabilistic Knowledge' as 'Objective Knowledge' in Quantum Mechanics: Potential Immanent Powers Instead of Actual Properties (C de Ronde)On When a Semantics is not a Good Semantics: The Algebraisation of Orthomodular Logic (T Kowalski, F Paoli and and R Giuntin)Von Neumann, Empiricism and the Foundations of Quantum Mechanics (O Bueno)The Born Rule and Free Will: Why Libertarian Agent-Causal Free Will is Not "Antiscientific" (R E Kastner)Fuzzy Approach for CNOT Gate in Quantum Computation with Mixed States (G Sergioli and H Freytes)A Modal Logic of Indiscernibility (D Krause, J R B Arenhart and P Merlussi)The Possibility of a New Metaphysics for Quantum Mechanics from Meinong's Theory of Objects (M Graffigna)Entanglement of Formation for Werner States and Isotropic States via Logical Gates (C Bertini, M L D Chiara and R Leporini)Time, Chance and Quantum Theory (A Sudbery)A Topos Theoretic Framework for Paraconsistent Quantum Theory (B Eva)A Possible Solution to the Second Entanglement Paradox (D Aerts and M S de Bianchi) Readership: University students and researchers interested in the foundation of quantum mechanics.
2016-07-21 By Diederik Aerts

French , S. ( 1989a ) , “ Identity and Indiscernibility in Classical and Quantum Physics ” , Australasian Journal of Philosophy 67 : 432–446 . ( 1989b ) , “ Why the Principle of the Identity of Indiscernibles Is Not Contingently True ...

Author: William Marias Malisoff

Publisher: University of Chicago Press

ISBN: 00318248

Category: Science

Page:

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The notions of individual, individuality, individuation, and qualitative and numerical identity form a ... a compound system in a state of motion of form x ⊗ x, are certainly indiscernible as far as quantum-mechanical description goes.

Author: Bas C. Van Fraassen

Publisher: Oxford University Press

ISBN: 9780198248613

Category: Science

Page: 541

View: 314

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In this, his latest book, Bas van Fraassen makes a thorough discussion of quantum theory. He offers a critique of earlier interpretations and develops a new one which stays close to the original Copenhagen ideas without implying a radical incompleteness in quantum theory.

In this framework, identity questions may be dealt with either in a metatheoretical or in a theoretical way. ... 2. IDENTITY AND INDISCERNIBILITY IN QUANTUM THEORY Suppose we want IDENTITY QUESTIONS FROM QUANTUM THEORY 41.

Author: K. Gavroglu

Publisher: Springer Science & Business Media

ISBN: 9789401726580

Category: Science

Page: 388

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In three volumes, a distinguished group of scholars from a variety of disciplines in the natural and social sciences, the humanities and the arts contribute essays in honor of Robert S. Cohen, on the occasion of his 70th birthday. The range of the essays, as well as their originality, and their critical and historical depth, pay tribute to the extraordinary scope of Professor Cohen's intellectual interests, as a scientist-philosopher and a humanist, and also to his engagement in the world of social and political practice. The essays presented in Physics, Philosophy, and the Scientific Community (Volume I of Essays in Honor of Robert S. Cohen) focus on philosophical and historical issues in contemporary physics: on the origins and conceptual foundations of quantum mechanics, on the reception and understanding of Bohr's and Einstein's work, on the emergence of quantum electrodynamics, and on some of the sharp philosophical and scientific issues that arise in current scientific practice (e.g. in superconductivity research). In addition, several essays deal with critical issues within the philosophy of science, both historical and contemporary: e.g. with Cartesian notions of mechanism in the philosophy of biology; with the language and logic of science - e.g. with new insights concerning the issue of a `physicalistic' language in the arguments of Neurath, Carnap and Wittgenstein; with the notion of `elementary logic'; and with rational and non-rational elements in the history of science. Two original contributions to the history of mathematics and some studies in the comparative sociology of science round off this outstanding collection.
2013-06-29 By K. Gavroglu

Identity applies to objects, and given that identity is not vague, we can plausibly say that those objects are ... by employing standard set theory, which accounts for the haecceities and for indiscernibility in quantum mechanics ...

Author: Diederik Aerts

Publisher: World Scientific Publishing

ISBN: 9789813276901

Category: Science

Page: 392

View: 423

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This book provides an interdisciplinary perspective on one of the most fascinating and important open questions in science: What is quantum mechanics talking about? Quantum theory is perhaps our best confirmed physical theory. However, despite its great empirical effectiveness and the subsequent technological developments that it gave rise to in the 20th century, from the interpretation of the periodic table of elements to CD players, holograms and quantum state teleportation, it stands even today without a universally accepted interpretation. The novelty of the book comes from the multiple viewpoints and subjects investigated by a group of researchers from Europe and North and South America.
2018-11-20 By Diederik Aerts

This principle , in turn , is responsible for the connection between identity and indiscernibility . The idea that identity is ... is required for a more complete picture of what the world looks like according to quantum mechanics .

Author: Olival Freire Jr

Publisher: Oxford University Press

ISBN: 9780198844495

Category:

Page: 1312

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This Oxford Handbook provides a rigorous, interdisciplinary review of the history of interpretations of quantum physics, presenting the key controversies within the field, as well as outlining its successes and its extraordinary potential across various scientific fields.
2022-03-07 By Olival Freire Jr

Given the indiscernibility of the relevant quantum objects, possibilities (3) and (4) cannot be distinguished, ... for those interpretations of quantum mechanics that assume that quantum particles have well-defined identity conditions.

Author: Alberto Cordero

Publisher: Springer

ISBN: 9783030156596

Category: Science

Page: 312

View: 847

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This edited volume explores the philosophical implications of quantum mechanics. It features papers from venues of the International Ontology Congress (IOC) up to 2016. IOC is a worldwide platform for dialogue and reflection on the interactions between science and philosophy. The collection features philosophers as well as physicists, including David Albert, Harvey Brown, Jeffrey Bub, Otávio Bueno, James Cushing, Steven French, Victor Gomez-Pin, Carl Hoefer, Simon Kochen, Peter Lewis, Tim Maudlin, Peter Mittlestatedt, Roland Omnès, Juha Saatsi, Albert Solé, David Wallace, and Anton Zeilinger. Since the early days of quantum mechanics, philosophers have studied the subject with growing technical skill and fruitfulness. Their efforts have unveiled intellectual bridges between physics and philosophy. These connections have helped fuel the contemporary debate about the scope and limits of realism and understanding in the interpretation of physical theories and scientific theories in general. The philosophical analysis of quantum mechanics is now one of the most sophisticated and productive areas in contemporary philosophy, as the papers in this collection illustrate.
2019-08-13 By Alberto Cordero

In the next section we briefly sketch the main reasons related with the claim that quantum mechanics seems to afford a ... fathers of quantum mechanics, is a very general view that relates identity, individuality, and indiscernibility.

Author: Shyam Wuppuluri

Publisher: Springer

ISBN: 9783319724782

Category: Science

Page: 641

View: 179

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This volume presents essays by pioneering thinkers including Tyler Burge, Gregory Chaitin, Daniel Dennett, Barry Mazur, Nicholas Humphrey, John Searle and Ian Stewart. Together they illuminate the Map/Territory Distinction that underlies at the foundation of the scientific method, thought and the very reality itself. It is imperative to distinguish Map from the Territory while analyzing any subject but we often mistake map for the territory. Meaning for the Reference. Computational tool for what it computes. Representations are handy and tempting that we often end up committing the category error of over-marrying the representation with what is represented, so much so that the distinction between the former and the latter is lost. This error that has its roots in the pedagogy often generates a plethora of paradoxes/confusions which hinder the proper understanding of the subject. What are wave functions? Fields? Forces? Numbers? Sets? Classes? Operators? Functions? Alphabets and Sentences? Are they a part of our map (theory/representation)? Or do they actually belong to the territory (Reality)? Researcher, like a cartographer, clothes (or creates?) the reality by stitching multitudes of maps that simultaneously co-exist. A simple apple, for example, can be analyzed from several viewpoints beginning with evolution and biology, all the way down its microscopic quantum mechanical components. Is there a reality (or a real apple) out there apart from these maps? How do these various maps interact/intermingle with each other to produce a coherent reality that we interact with? Or do they not? Does our brain uses its own internal maps to facilitate “physicist/mathematician” in us to construct the maps about the external territories in turn? If so, what is the nature of these internal maps? Are there meta-maps? Evolution definitely fences our perception and thereby our ability to construct maps, revealing to us only those aspects beneficial for our survival. But the question is, to what extent? Is there a way out of the metaphorical Platonic cave erected around us by the nature? While “Map is not the territory” as Alfred Korzybski remarked, join us in this journey to know more, while we inquire on the nature and the reality of the maps which try to map the reality out there. The book also includes a foreword by Sir Roger Penrose and an afterword by Dagfinn Follesdal.
2018-02-13 By Shyam Wuppuluri

2, we first discuss the role of context and content in classical and quantum physics. ... In Sect.3, we consider the concepts of identity and indiscernibility and how they are connected. Identity is a difficult concept, and we explore ...

Author: Shyam Wuppuluri

Publisher: Springer Nature

ISBN: 9783030921927

Category:

Page:

View: 272

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