Physical Theory As Logico Operational Structure
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Physical Theory As Logico Operational Structure
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Author : C.A. Hooker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Physical Theory As Logico Operational Structure written by C.A. Hooker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In two earlier volumes, entitled The Logico-Algebraic Approach to Quan tum Mechanics (hereafter LAA I, II), I have presented collections of research papers which trace out the historical development and contem porary flowering of a particular approach to physical theory. One might characterise this approach as the extraction of an abstract logico-algebraic skeleton from each physical theory and the reconstruction of the physical theory as construction of mathematical and interpretive 'flesh' (e. g. , measures, operators, mappings etc. ) on this skeleton. The idea is to show how the specific features of a theory that are easily seen in application (e. g. , 'interference' among observables in quantum mechanics) arise out of the character of its core abstract structure. In this fashion both the deeper nature of a theory (e. g. , in what precise sense quantum mechanics is strongly statistical) and the deeper differences between theories (e. g. clas sical mechanics, though also a 'mechanics', is not strongly statistical) are penetratingly illuminated. What I would describe as the 'mainstream' logico-algebraic tradition is captured in these two collections of papers (LAA I, II). The abstract, structural approach to the characterisation of physical theory has been the basis of a striking transformation, in this century, in the understanding of theories in mathematical physics. There has emerged clearly the idea that physical theories are most significantly characterised by their abstract structural components.
Physical Theory As Logico Operational Structure
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Author : Clifford Alan Hooker
language : en
Publisher:
Release Date : 1978-12-31
Physical Theory As Logico Operational Structure written by Clifford Alan Hooker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-12-31 with Filosofia de la fisica categories.
The Logico Algebraic Approach To Quantum Mechanics
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Author : C.A. Hooker
language : en
Publisher: Springer Science & Business Media
Release Date : 1979-05-31
The Logico Algebraic Approach To Quantum Mechanics written by C.A. Hooker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-05-31 with Philosophy categories.
The twentieth century has witnessed a striking transformation in the understanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi tional opinion that one should look to the specific applications of a theory in orrter to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that structure, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical manoeuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrodinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation, the elementary theory moved, flanked even at this later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic alternative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical structures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manipulation of purely abstract structures.
Current Issues In Quantum Logic
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Author : Enrico G. Beltrametti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Current Issues In Quantum Logic written by Enrico G. Beltrametti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
These are the proceedings of the Workshop on Quantum Logic held in Erice (Sicily), December 2 - 9, 1979, at the Ettore Hajorana Centre for Scientific Culture. A conference of this sort was originally proposed by Giuliano Toraldo di Francia, who suggested the idea to Antonino Zichichi, and thus laid the foundation for the Workshop. To both of them we express our appreciation and thanks, also on behalf of the other participants, for having made this conference possible. There were approximately fifty participants; their names and institutions are listed in the text. Quantum logic, which has now a history of some forty or more years, has seen remarkable growth during the sixties and seventies. The papers in the present volume presuppose, by and large, some acquaintance with the elements of the subject. These may be found in the well-known books by J.H. Jauch (Foundations of Quantum Hechanics; Reading, 1968), V.S. Varadarajan (Geometry of Quantum Theory: Princeton, 1968), and C. Piron (Foundations of Quantum Theory; New York, 1976). The initial program for the conference listed about twenty-five invited papers. But in the context of a very active and qualified attendance, other contributions were offered. This volume contains all of them. The program listed six main topics: I. Classification or different areas of quantum logic, and open problems. II. Comparison and unification of different approaches to quantum theories; problems of interpretation. III. Formal quantum logic; axiomatics. IV. Hodal interpretations of quantum logic. v vi FOREWORD V. Quantum set theory.
Physics Of Emergence And Organization
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Author :
language : en
Publisher:
Release Date :
Physics Of Emergence And Organization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Probing The Structure Of Quantum Mechanics
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Author : Diederik Aerts
language : en
Publisher: World Scientific
Release Date : 2002-06-11
Probing The Structure Of Quantum Mechanics written by Diederik Aerts and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-11 with Science categories.
During the last decade, scientists working in quantum theory have been engaging in promising new fields such as quantum computation and quantum information processing, and have also been reflecting on the possibilities of nonlinear behavior on the quantum level. These are challenging undertakings because (1) they will result in new solutions to important technical and practical problems that were unsolvable by the classical approaches (for example, quantum computers can calculate problems that are intractable if one uses classical computers); and (2) they open up new 'hard' problems of a fundamental nature that touch the foundation of quantum theory itself (for example, the contradiction between locality and nonlinearity and the interpretation of quantum computing as a universal process). In this book, one can distinguish two main streams of research to approach the just-mentioned problem field: (1) a theoretical structural part, which concentrates on the elaboration of a nonlinear quantum mechanics and the fundamentals of quantum computation; and (2) a theoretical experimental part, which focuses on the theoretical aspects of applications that arise from new technology and novel research perspectives such as quantum optics and quantum cryptography. Particular attention is also paid to the measurement problem, the classical limit and alternative interpretations (such as the hidden measurement approach). Contents:Probing the Structure of Quantum Mechanics (D Aerts et al.)The Linearity of Quantum Mechanics at Stake: The Description of Separated Quantum Entities (D Aerts & F Valckenborgh)Linearity and Compound Physical Systems: The Case of Two Separated Spin 1/2 Entities (D Aerts & F Valckenborgh)Being and Change: Foundations of a Realistic Operational Formalism (D Aerts)The Classical Limit of the Lattice-Theoretical Orthocomplementation in the Framework of the Hidden-Measurement Approach (T Durt & B D'Hooghe)State Property Systems and Closure Spaces: Extracting the Classical en Non-Classical Parts (D Aerts & D Deses)Hidden Measurements from Contextual Axiomatics (S Aerts)High Energy Approaches to Low Energy Phenomena in Astrophysics (S M Austin)Memory Effects in Atomic Interferometry: A Negative Result (T Durt et al.)Reality and Probability: Introducing a New Type of Probability Calculus (D Aerts)Quantum Computation: Towards the Construction of a ‘Between Quantum and Classical Computer’ (D Aerts & B D'Hooghe)Buckley-Siler Connectives for Quantum Logics of Fuzzy Sets (J Pykacz & B D'Hooghe)Some Notes on Aerts' Interpretation of the EPR-Paradox and the Violation of Bell-Inequalities (W Christiaens)Quantum Cryptographic Encryption in Three Complementary Bases Through a Mach-Zehnder Set Up (T Durt & B Nagler)Quantum Cryptography Without Quantum Uncertainties (T Durt)How to Construct Darboux-Invariant Equations of von Neumann Type (J L Cie(li(ski)Darboux-Integrable Equations with Non-Abelian Nonlinearities (N V Ustinov & M Czachor)Dressing Chain Equations Associated with Difference Soliton Systems (S Leble)Covariance Approach to the Free Photon Field (M Kuna & J Naudts) Readership: Graduate students, researchers and academics in quantum physics. Keywords:Quantum Mechanics;Quantum Computation;Quantum Information Processing
Current Research In Operational Quantum Logic
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Author : Bob Coecke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Current Research In Operational Quantum Logic written by Bob Coecke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested non-specialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic.
Information Complexity And Control In Quantum Physics
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Author : A. Blaquiere
language : en
Publisher: Springer
Release Date : 2014-05-04
Information Complexity And Control In Quantum Physics written by A. Blaquiere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
Theology And Modern Physics
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Author : Peter E. Hodgson
language : en
Publisher: Routledge
Release Date : 2017-09-08
Theology And Modern Physics written by Peter E. Hodgson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Religion categories.
The new discoveries in physics during the twentieth century have stimulated intense debate about their relevance to age-old theological questions. Views range from those holding that modern physics provides a surer road to God than traditional religions, to those who say that physics and theology are incommensurable and so do not relate. At the very least, physics has stimulated renewed theological discussions. In this critical introduction to the science-theology debate, Peter E. Hodgson draws on his experience as a physicist to present the results of modern physics and the theological implications. Written for those with little or no scientific background, Hodgson describes connections between physics, philosophy and theology and then explains Newtonian physics and Victorian physics, the theories of relativity, astronomy and quantum mechanics, and distinguishes the actual results of modern physics from speculations. The connections with theology are explored throughout. The concluding section draws discussions together and makes an important new contribution to the debate.
Endophysics Time Quantum And The Subjective Proceedings Of The Zif Interdisciplinary Research Workshop With Cd Rom
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Author : Metod Saniga
language : en
Publisher: World Scientific
Release Date : 2005-10-03
Endophysics Time Quantum And The Subjective Proceedings Of The Zif Interdisciplinary Research Workshop With Cd Rom written by Metod Saniga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-03 with Science categories.
Endophysics, Time, Quantum and the Subjective is the first systematic cross- and trans-disciplinary appraisal of the endophysical paradigm and its possible role in our understanding of Nature. Focusing on three of the most pressing issues of contemporary science, the interpretation of quantum theory, the nature of time, and the problem of consciousness, it provides the reader with some forefront research, concepts and ideas in these areas, such as incessant Big Bang, geometrizing of “mental space-times,” and a contextual view of quantum mechanics and/or a view of the Universe as a self-evolving quantum automaton. Although primarily aimed at academics this engaging volume can be read by anyone interested in modern physics, philosophy, psychology and cognitive sciences.