Quantum Measure Theory
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Quantum Measure Theory
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Author : Jan Hamhalter
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-31
Quantum Measure Theory written by Jan Hamhalter 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 2003-10-31 with Mathematics categories.
This book is the first systematic treatment of measures on projection lattices of von Neumann algebras. It presents significant recent results in this field. One part is inspired by the Generalized Gleason Theorem on extending measures on the projection lattices of von Neumann algebras to linear functionals. Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc.). Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc.). These results have no direct analogy in the standard measure and probability theory. On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions.
Atomicity Through Fractal Measure Theory
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Author : Alina Gavriluţ
language : en
Publisher: Springer Nature
Release Date : 2019-11-02
Atomicity Through Fractal Measure Theory written by Alina Gavriluţ and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-02 with Mathematics categories.
This book presents an exhaustive study of atomicity from a mathematics perspective in the framework of multi-valued non-additive measure theory. Applications to quantum physics and, more generally, to the fractal theory of the motion, are highlighted. The study details the atomicity problem through key concepts, such as the atom/pseudoatom, atomic/nonatomic measures, and different types of non-additive set-valued multifunctions. Additionally, applications of these concepts are brought to light in the study of the dynamics of complex systems. The first chapter prepares the basics for the next chapters. In the last chapter, applications of atomicity in quantum physics are developed and new concepts, such as the fractal atom are introduced. The mathematical perspective is presented first and the discussion moves on to connect measure theory and quantum physics through quantum measure theory. New avenues of research, such as fractal/multifractal measure theory with potential applications in life sciences, are opened.
13th Chaotic Modeling And Simulation International Conference
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Author : Christos H. Skiadas
language : en
Publisher: Springer Nature
Release Date : 2021-12-14
13th Chaotic Modeling And Simulation International Conference written by Christos H. Skiadas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Mathematics categories.
Gathering the proceedings of the 13th CHAOS2020 International Conference, this book highlights recent developments in nonlinear, dynamical and complex systems. The conference was intended to provide an essential forum for Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and the Engineering Sciences. The respective chapters address key methods, empirical data and computer techniques, as well as major theoretical advances in the applied nonlinear field. Beyond showcasing the state of the art, the book will help academic and industrial researchers alike apply chaotic theory in their studies.
The Incomputable
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Author : S. Barry Cooper
language : en
Publisher: Springer
Release Date : 2017-05-05
The Incomputable written by S. Barry Cooper and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Computers categories.
This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions, but the gaps and discontinuities in our grasp suggest a need for continued discourse between researchers from different disciplines, and this book is unique in its focus on the mathematical theory of incomputability and its relevance for the real world. The core of the book consists of thirteen chapters in five parts on extended models of computation; the search for natural examples of incomputable objects; mind, matter, and computation; the nature of information, complexity, and randomness; and the mathematics of emergence and morphogenesis. This book will be of interest to researchers in the areas of theoretical computer science, mathematical logic, and philosophy.
Measure Theory
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Author :
language : en
Publisher:
Release Date : 1993
Measure Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Measure theory categories.
Quantum Measure Theory
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Author :
language : en
Publisher:
Release Date : 2009
Quantum Measure Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.
Library Of Congress Subject Headings
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Author : Library of Congress. Cataloging Policy and Support Office
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1973
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Nuclear energy categories.
Discrete Causal Theory
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Author : Benjamin F. Dribus
language : en
Publisher: Springer
Release Date : 2017-04-26
Discrete Causal Theory written by Benjamin F. Dribus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-26 with Science categories.
This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation.
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 2009
Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Subject headings, Library of Congress categories.