Foundations Of Probability And Physics 3

Author : Andrei Khrennikov
Publisher : American Inst. of Physics
Page : 442 pages
File Size : 54,7 Mb
Release : 2005-03-03
Category : Science
ISBN : UOM:39015061004985

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Foundations of Probability and Physics - 3 by Andrei Khrennikov Pdf

This conference is one of a series of Växjö conferences on the foundations of quantummechanics. The main aim of this conference was to understand the role that probability plays in the foundations of physics, theoretical as well as experimental. It should be emphasized that nowadays the problems of probabilistic foundations are not of purely theoretical interest. These problems play a fundamental role in future development of quantum computing and cryptography. At this conference we were fortunate to have a mixture of outstanding physicists, mathematicians, and even philosophers interested in scientific foundations in attendance. The following problems were discussed: unification of classical and quantum probability theories, EPR-Bohm and theoriginal EPR experiments, Bell's inequality: interpretations of its violation and loopholes,simulation of EPR-Bohm correlations in the local realistic approach, nonlocality, contextual probabilistic models, subjective probability and quantum information, quantum logic, results of recent experiments in quantum information, philosophic foundations of probability and quantum mechanics, model theory, discrete time and dynamics.

Author : Andrei Khrennikov
Publisher : Walter de Gruyter
Page : 241 pages
File Size : 46,6 Mb
Release : 2009-02-26
Category : Mathematics
ISBN : 9783110213195

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Interpretations of Probability by Andrei Khrennikov Pdf

This is the first fundamental book devoted to non-Kolmogorov probability models. It provides a mathematical theory of negative probabilities, with numerous applications to quantum physics, information theory, complexity, biology and psychology. The book also presents an interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social, and psychological phenomena.

Author : Andrei Khrennikov,Bourama Toni
Publisher : Springer
Page : 295 pages
File Size : 41,6 Mb
Release : 2018-06-13
Category : Science
ISBN : 9783319749716

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Quantum Foundations, Probability and Information by Andrei Khrennikov,Bourama Toni Pdf

Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory. Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource.

Author : Anonim
Publisher : Unknown
Page : 410 pages
File Size : 42,8 Mb
Release : 2005
Category : Probabilities
ISBN : OCLC:254546393

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Foundations of Probability and Physics - 3 by Anonim Pdf

Author : Andre? I?U?r?evich Khrennikov
Publisher : World Scientific
Page : 299 pages
File Size : 50,6 Mb
Release : 2016
Category : Science
ISBN : 9781783267972

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Probability and Randomness by Andre? I?U?r?evich Khrennikov Pdf

"Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 51,6 Mb
Release : 2005
Category : Probabilities
ISBN : OCLC:254546393

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Foundations of Probability and Physics - 3 by Anonim Pdf

Author : Patrick Suppes
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 55,5 Mb
Release : 2013-11-11
Category : Science
ISBN : 9789401094665

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Logic and Probability in Quantum Mechanics by Patrick Suppes Pdf

During the academic years 1972-1973 and 1973-1974, an intensive sem inar on the foundations of quantum mechanics met at Stanford on a regular basis. The extensive exploration of ideas in the seminar led to the org~ization of a double issue of Synthese concerned with the foundations of quantum mechanics, especially with the role of logic and probability in quantum meChanics. About half of the articles in the volume grew out of this seminar. The remaining articles have been so licited explicitly from individuals who are actively working in the foun dations of quantum mechanics. Seventeen of the twenty-one articles appeared in Volume 29 of Syn these. Four additional articles and a bibliography on -the history and philosophy of quantum mechanics have been added to the present volume. In particular, the articles by Bub, Demopoulos, and Lande, as well as the second article by Zanotti and myself, appear for the first time in the present volume. In preparing the articles for publication I am much indebted to Mrs. Lillian O'Toole, Mrs. Dianne Kanerva, and Mrs. Marguerite Shaw, for their extensive assistance.

Author : Luigi Accardi
Publisher : American Institute of Physics
Page : 408 pages
File Size : 47,6 Mb
Release : 2009-04-03
Category : Computers
ISBN : UCSD:31822036079044

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Foundations of Probability and Physics - 5 by Luigi Accardi Pdf

This conference was devoted to fundamental questions raised by quantum mechanics, especially in quantum information theory. As has become customary in our series of conference in Växjö, we were glad to welcome a fruitful assembly of theoretical physicists, experimentalists, mathematicians and even philosophers interested in the foundations of probability and physics. This conference belongs to the series of Växjö conferences in foundations of quantum mechanics (especially probabilistic foundations) combined of two subseries, Foundations of Probability and Physics: 2000, 02, 04, 06, 08, and Quantum Theory: Reconsideration of Foundations: 2001, 03, 05, 07. We also mention the first Växjö conference: Bohmian mechanics 2000. This is definitely the longest series of conferences on foundations in the history of quantum mechanics.

Author : Emmanuel Haven,Andrei Khrennikov
Publisher : Springer
Page : 377 pages
File Size : 54,8 Mb
Release : 2017-02-06
Category : Business & Economics
ISBN : 9781137492760

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The Palgrave Handbook of Quantum Models in Social Science by Emmanuel Haven,Andrei Khrennikov Pdf

It is not intuitive to accept that there exists a link between quantum physical systems and cognitive systems. However, recent research has shown that cognitive systems and collective (social) systems, including biology, exhibit uncertainty which can be successfully modelled with quantum probability. The use of such probability allows for the modelling of situations which typically violate the laws of classical probability. The Palgrave Handbook of Quantum Models in Social Science is is a unique volume that brings together contributions from leading experts on key topics in this new and emerging field. Completely self-contained, it begins with an introductory section which gathers all the fundamental notions required to be able to understand later chapters. The handbook then moves on to address some of the latest research and applications for quantum methods in social science disciplines, including economics, politics and psychology. It begins with the issue of how the quantum mechanical framework can be applied to economics. Chapters devoted to this topic range from how Fisher information can be argued to play a role in economics, to the foundations and application of quantum game theory. The handbook then progresses in considering how belief states can be updated with the theory of quantum measurements (and also with more general methods). The practical use of the Hilbert space (and Fock space) in decision theory is then introduced, and open quantum systems are also considered. The handbook also treats a model of neural oscillators that reproduces some of the features of quantum cognition. Other contributions delve into causal reasoning using quantum Bayes nets and the role of quantum probability in modelling so called affective evaluation. The handbook is rounded off with two chapters which discuss the grand challenges which lie ahead of us. How can the quantum formalism be justified in social science and is the traditional quantum formalism too restrictive? Finally, a question is posed: whether there is a necessary role for quantum mathematical models to go beyond physics. This book will bring the latest and most cutting edge research on quantum theory to social science disciplines. Students and researchers across the discipline, as well as those in the fields of physics and mathematics will welcome this important addition to the literature.

Author : Andrei Khrennikov
Publisher : CRC Press
Page : 230 pages
File Size : 55,7 Mb
Release : 2020-11-12
Category : Mathematics
ISBN : 9781000730456

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Social Laser by Andrei Khrennikov Pdf

The recent years have been characterized by stormy social protests throughout the world. These protests have some commonalities, but at the same time, their sociopolitical, psychological, and economic contexts differ essentially. An important class of such protests is known as color revolutions. The analysis of these events in social and political literature is characterized by huge diversity of opinions. We remark that the sociopolitical perturbations under consideration are characterized by the cascade dynamics leading to the exponential amplification of coherent social actions. In quantum physics, such exponential and coherent amplification is the basic feature of laser’s functioning. (“Laser” is acronym for light amplification by stimulated emission of radiation). In this book we explore the theory of laser to model aforementioned waves of social protests, from color revolutions to Brexit and Trump’s election. We call such social processes Stimulated Amplification of Social Actions (SASA), but to keep closer to the analogy with physics we merely operate with the term “social laser.”

Author : Emmanuel Haven,Andreĭ I︠U︡rʹevich Khrennikov
Publisher : Cambridge University Press
Page : 305 pages
File Size : 43,8 Mb
Release : 2013-01-17
Category : Psychology
ISBN : 9781107012820

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Quantum Social Science by Emmanuel Haven,Andreĭ I︠U︡rʹevich Khrennikov Pdf

Written by world experts in the foundations of quantum mechanics, this book shows how elementary quantum mechanical principles can be applied to social sciences problems. Aimed at economists and psychologists, as well as physicists, it explores the exciting field of quantum social science.

Author : R.D. Rosenkrantz
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400965812

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E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics by R.D. Rosenkrantz Pdf

The first six chapters of this volume present the author's 'predictive' or information theoretic' approach to statistical mechanics, in which the basic probability distributions over microstates are obtained as distributions of maximum entropy (Le. , as distributions that are most non-committal with regard to missing information among all those satisfying the macroscopically given constraints). There is then no need to make additional assumptions of ergodicity or metric transitivity; the theory proceeds entirely by inference from macroscopic measurements and the underlying dynamical assumptions. Moreover, the method of maximizing the entropy is completely general and applies, in particular, to irreversible processes as well as to reversible ones. The next three chapters provide a broader framework - at once Bayesian and objective - for maximum entropy inference. The basic principles of inference, including the usual axioms of probability, are seen to rest on nothing more than requirements of consistency, above all, the requirement that in two problems where we have the same information we must assign the same probabilities. Thus, statistical mechanics is viewed as a branch of a general theory of inference, and the latter as an extension of the ordinary logic of consistency. Those who are familiar with the literature of statistics and statistical mechanics will recognize in both of these steps a genuine 'scientific revolution' - a complete reversal of earlier conceptions - and one of no small significance.

Author : Mario Bunge
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 49,9 Mb
Release : 2013-03-13
Category : Science
ISBN : 9783642861024

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Delaware Seminar in the Foundations of Physics by Mario Bunge Pdf

This volume collects the lectures on the foundations of physics given by eleven scientists at the University of Delaware. It is neither an anthology of disconnected items nor a smoothly running textbook but rather a progress report on a neglected yet vital area of basic physical research, namely foundations research. The investigation into the foundations of any branch of science is neither loose speculation nor popular science: it is an aspect of scientific research - in fact the deepest-searching part of basic research. Con sequently it must be carried out by the scientist himself. Thus whether the time concept is a numerical variable or a function, whether particle mechanics is the primary mechanical theory or a particular case of continuum mechanics, whether transformation formulas are laws of nature or links between equivalent descriptions, whether thermodynamics has been fully reduced to statistical mechanics, whether the field concept is dispensable, whether the covariance principle is a law or a regulative principle, whether quantum mechanics is completely detached from classical physics or contains fragments of it, whether it has annihilated the physical object or given a more complex picture of it, and to which extent are the field variables measurable - all these are technical questions demanding a careful analysis of pieces of recent basic research. Yet all of these problems and indeed all questions in foundational research are philosophical as well as scientific.

Author : Marisa Faggini,Thomas Lux
Publisher : Springer Science & Business Media
Page : 177 pages
File Size : 50,7 Mb
Release : 2009-05-05
Category : Science
ISBN : 9788847010833

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Coping with the Complexity of Economics by Marisa Faggini,Thomas Lux Pdf

Throughout the history of economics, a variety of analytical tools have been borrowed from the so-called exact sciences. As Schoe?er (1955) puts it: “They have taken their mathematics and their ded- tive techniques from physics, their statistics from genetics and agr- omy, their systems of classi?cation from taxonomy and chemistry, their model-construction techniques from astronomy and mechanics, and their methods of analysis of the consequences of actions from en- neering”. The possibility of similarities of structure in mathematical models of economic and physical systems has been an important f- tor in the development of neoclassical theory. To treat the state of an economy as an equilibrium, analogous to the equilibrium of a mech- ical system has been a key concept in economics ever since it became a mathematically formalized science. Adopting a Newtonian paradigm neoclassical economics often is based on three fundamental concepts. Firstly, the representative agent who is a scale model of the whole society with extraordinary capacities, particularly concerning her - pability of information processing and computation. Of course, this is a problematic reduction as agents are both heterogeneous and bou- edly rational and limited in their cognitive capabilities. Secondly, it often con?ned itself to study systems in a state of equilibrium. But this concept is not adequate to describe and to support phenomena in perpetual motion.

Author : Paolo Rocchi
Publisher : World Scientific
Page : 286 pages
File Size : 47,8 Mb
Release : 2023-08-29
Category : Mathematics
ISBN : 9789811272769

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Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory by Paolo Rocchi Pdf

This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.