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The Modal Interpretation of Quantum Mechanics by Dennis Dieks,Pieter E. Vermaas Pdf
According to the modal interpretation, the standard mathematical framework of quantum mechanics specifies the physical magnitudes of a system, which have definite values. Probabilities are assigned to the possible values that these magnitudes may adopt. The interpretation is thus concerned with physical properties rather than with measurement results: it is a realistic interpretation (in the sense of scientific realism). One of the notable achievements of this interpretation is that it dissolves the notorious measurement problem. The papers collected here, together with the introduction and concluding critical appraisal, explain the various forms of the modal interpretation, survey its achievements, and discuss those problems that have yet to be solved. Audience: Philosophers of science, theoretical physicists, and graduate students in these disciplines.
A Philosopher's Understanding of Quantum Mechanics by Pieter E. Vermaas Pdf
Modal interpretations provide a general framework within which quantum mechanics can be considered as a theory that describes reality in terms of physical systems possessing definite properties. Modal interpretations are relatively new attempts to present quantum mechanics as a theory which, like other physical theories, describes an observer-independent reality. In this book, Pieter Vermaas details the results of this work. He provides both an accessible survey and a systematic reference work about how to understand quantum mechanics using a modal interpretation. The book will be of great value to undergraduates, graduate students and researchers in philosophy of science and physics departments with an interest in learning about modal interpretations of quantum mechanics.
This book defends a radical new theory of contingency as a physical phenomenon. Drawing on the many-worlds approach to quantum theory and cutting-edge metaphysics and philosophy of science, it argues that quantum theories are best understood as telling us about the space of genuine possibilities, rather than as telling us solely about actuality. When quantum physics is taken seriously in the way first proposed by Hugh Everett III, it provides the resources for a new systematic metaphysical framework encompassing possibility, necessity, actuality, chance, counterfactuals, and a host of related modal notions. Rationalist metaphysicians argue that the metaphysics of modality is strictly prior to any scientific investigation; metaphysics establishes which worlds are possible, and physics merely checks which of these worlds is actual. Naturalistic metaphysicians respond that science may discover new possibilities and new impossibilities. This book's quantum theory of contingency takes naturalistic metaphysics one step further, allowing that science may discover what it is to be possible. As electromagnetism revealed the nature of light, as acoustics revealed the nature of sound, as statistical mechanics revealed the nature of heat, so quantum physics reveals the nature of contingency.
Introduction to the Modal-Hamiltonian Interpretation of Quantum Mechanics by Olimpia Lombardi Pdf
This book presents a comprehensive account of a new member of the family of the modal interpretations of quantum mechanics. According to the modal-Hamiltonian interpretation, the Hamiltonian of the quantum system plays a decisive role in the definition of systems and subsystems, and in the rule that selects the observables whose possible values become actual. This book begins by introducing the main interpretative postulates and by proving their Galilean invariance. Also discussed herein is an argument for the physical relevance of the interpretation.
A Philosopher's Understanding of Quantum Mechanics by Pieter E. Vermaas Pdf
Modal interpretations provide a general framework within which quantum mechanics can be considered as a theory that describes reality in terms of physical systems possessing definite properties. Modal interpretations are relatively new attempts to present quantum mechanics as a theory which, like other physical theories, describes an observer-independent reality. In this book, Pieter Vermaas details the results of this work. He provides both an accessible survey and a systematic reference work about how to understand quantum mechanics using a modal interpretation. The book will be of great value to undergraduates, graduate students and researchers in philosophy of science and physics departments with an interest in learning about modal interpretations of quantum mechanics.
The Interpretation of Quantum Mechanics by Roland Omnès Pdf
The interpretation of quantum mechanics has been controversial since the introduction of quantum theory in the 1920s. Although the Copenhagen interpretation is commonly accepted, its usual formulation suffers from some serious drawbacks. Based mainly on Bohr's concepts, the formulation assumes an independent and essential validity of classical concepts running in parallel with quantum ones, and leaves open the possibility of their ultimate conflict. In this book, Roland Omn s examines a number of recent advances, which, combined, lead to a consistent revision of the Copenhagen interpretation. His aim is to show how this interpretation can fit all present experiments, to weed out unnecessary or questionable assumptions, and to assess the domain of validity where the older statements apply. Drawing on the new contributions, The Interpretation of Quantum Mechanics offers a complete and self-contained treatment of interpretation (in nonrelativistic physics) in a manner accessible to both physicists and students. Although some "hard" results are included, the concepts and mathematical developments are maintained at an undergraduate level. This book enables readers to check every step, apply the techniques to new problems, and make sure that no paradox or obscurity can arise in the theory. In the conclusion, the author discusses various philosophical implications pertinent to the study of quantum mechanics.
Rob Clifton was one of the most brilliant and productive researchers in the foundations and philosophy of quantum theory; he died tragically at the age of 38. Jeremy Butterfield and Hans Halvorson present fourteen of his finest papers, all of which combine exciting philosophical discussion with rigorous mathematical results. Many of these papers break wholly new ground, either conceptually or technically. Others resolve a vague controversy into a precise technical problem, which is then solved; still others solve an open problem that had been in the air for some time. All of them show scientific and philosophical creativity of a high order, genuinely among the very best work in the field. The papers are grouped into four parts. First come four papers about the modal interpretation of quantum mechanics. Part II comprises three papers on the foundations of algebraic quantum field theory, with an emphasis on entanglement and nonlocality. The two papers in Part III concern the concept of a particle in relativistic quantum theories. One paper analyses localization; the other analyses the Unruh effect (Rindler quanta) using the algebraic approach to quantum theory. Finally, Part IV contains striking new results about such central issues as complementarity, Bohr's reply to the EPR argument, and no hidden variables theorems; and ends with a philosophical survey of the field of quantum information. The volume includes a full bibliography of Clifton's publications. Quantum Entanglements offers inspiration and substantial reward to graduates and professionals in the foundations of physics, with a background in philosophy, physics, or mathematics.
Probing the Meaning of Quantum Mechanics by Diederik Aerts,Sven Aerts,Christian de Ronde Pdf
This book provides a new original 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, in spite of 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 the original angles taken by a group of young researchers from Europe and South America who gathered for several years under the auspices of the Center Leo Apostel. Each member of the group presented ideas concerning the interpretation of quantum mechanics. We had discussions ranging from the philosophical underpinnings of local realism and holism, information and decision theoretic approaches to quantum theory all the way to the many worlds interpretation. Strikingly, in much the same way as different — and indeed incompatible observations are needed to fully describe the physical state of affairs in quantum mechanics — the various interpretations of the theory also seem to shed viable, but not necessarily compatible, perspectives on different aspects of the same grand framework. The discussions that followed were both technical and lively, but perhaps their most remarkable quality was the absence of rigid points of view that unfortunately seems to paralyze so much of the discussion in this area. This book is an expression which can be interesting not only to the specialists but also for the general public attempting to get a grasp on one of the still most fundamental questions of present physics. Contents:Do Quantum Dice Remember? (T Durt)Quantum Ontology in the Light of Gauge Theories (G Catren)The Probabilistic Structure of Quantum Theory as Originating from Optimal Observation in the Face of the Observer's Lack of Knowledge of His Own State (S Aerts)Quantum Realism, Information, and Epistemological Modesty (A Grinbaum)The Problem of Representation and Experience in Quantum Mechanics (C de Ronde)Bohrian Complementarity in the Light of Kantian Teleology (H Pringe)How Understanding Matters — Or Not (S Le Bihan)On the Orthocomplementation of State-Property-Systems of Contextual Systems (B D'Hooghe)The Deleuzian Concept of Structure and Quantum Mechanics (W A Christiaens)Understanding Probabilities in the Everett Interpretation of Quantum Mechanics (A Barton)Metaphysical Underdetermination and Logical Determination: The Case of Quantum Mechanics (J R B Arenhart)Neither Name, Nor Number (F Holik)EPR Correlations, Bell Inequalities and Common Cause Systems (G Hofer-Szabó)A Logic-Algebraic Framework for Contextuality and Modality in Quantum Systems (H Freytes) Readership: Student, professional, and the general public interested in the quantum theory. Key Features:The constitution of the group is of mainly PhD students in Europe working in the physics, philosophy and logic of quantum theory. The group, though young, is technically skilled both in the formalism as well as in the traditional and contemporary philosophical discussions regarding the interpretation of quantum mechanics. It is such a constitution which can provide the conditions for a “fresh look” at the field of foundations of quantum mechanicsQuantum mechanics is simply fascinating and remains even today an open problem for those who wish to seek for answersThe book will be a single unity, as it will be directed by “seeking understanding of quantum mechanics”, but it will also be wide and diverse in scope of topics and personal in choice and motivation of the topics handled, which is what makes this enterprise uniqueKeywords:Quantum Mechanics;Physics;Philosophy;Logic
The Quantum Theory of Measurement by Paul Busch,Pekka J. Lahti,Peter Mittelstaedt Pdf
The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert space formulation of quantum mechanics a systematic exposition of the quantum theory of measurement. Their approach includes the concepts of unsharp objectification and of nonunitary transformations needed for a unifying description of various detailed investigations. The book addresses advanced students and researchers in physics and philosophy of science. In this second edition Chaps. II-IV have been substantially rewritten. In particular, an insolubility theorem for the objectification problem has been formulated in full generality, which includes unsharp object observables as well as unsharp pointers.
Probing the Meaning of Quantum Mechanics by Diederik Aerts,Christian de Ronde,Hector Freytes,Sven Aerts Pdf
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.
Language, Quantum, Music by Maria Luisa Dalla Chiara,Roberto Giuntini,Federico Laudisa Pdf
A vivid and comprehensive picture of the current state of research in all directions of logic and philosophy of science. The book presents a wide combination of papers containing relevant technical results in the foundations of science and papers devoted to conceptual analyses, deeply rooted in advanced present-day research. Audience: The volume is attractive both for specialists in foundational questions and scholars interested in general epistemology.
