Probability Information And Physics Problems With Quantum Mechanics In The Context Of A Novel Probability Theory

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.

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.

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

The book will appeal to anyone with an interest in the interpretation of quantum mechanics.

All papers have been peer reviewed. This was the 4th conference arranged by ICMM on probabilistic foundations of classical and quantum physics. The first three conferences took place in 2000, 2002, and 2004. Some closely related conferences are Bohmian Mechanics 2000 and Quantum Theory: Reconsideration of Foundations 2001, 2003, and 2005. The main aim of these conferences is to understand the role that probability plays in the foundations of physics, theoretical as well as experimental, classical as well as quantum. In this conference, as well as during our previous conferences, we are glad to welcome a fruitful assembly of theoretical physicists, experimenters, mathematicians, and even philosophers interested in the foundations of probability and physics. Among important topics discussed during the conference were the probabilistic foundations of quantum mechanics, as well as the foundations of probability itself, the formation theory, quantum computing, quantum cryptography, quantum teleportation, quantum fluctuations in relation with stochastic electrodynamics, Bohmian mechanics, measurement theory, completeness and incompleteness of quantum mechanics, macroscopic quantum systems, experiments on quantum nonlocality and locality, Bell's inequality, entanglement; philosophical problems raised by quantum mechanics, and mathematical formalism. A special session devoted to the Bayesain approach to classical and quantum probability was organized.

In this volume, leading experts in experimental as well as theoretical physics (both classical and quantum) and probability theory give their views on many intriguing (and still mysterious) problems regarding the probabilistic foundations of physics. The problems discussed during the conference include Einstein-Podolsky-Rosen paradox, Bell's inequality, realism, nonlocality, role of Kolmogorov model of probability theory in quantum physics, von Mises frequency theory, quantum information, computation, “quantum effects” in classical physics.

A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.