ИСТИНА

This book is composed of contributions by leading experts in quantum foundations, especially from informational, probabilistic, and mathematical perspectives, and it presents their expert viewpoints on a number of foundational problems as well as novel mathematical models of quantum and subquantum phenomena. The mathematical content of the book is very rich and multidisciplinary: theory of partial differential equations of quantum field theory (derivation, modification, properties of solutions), differential geometry (including Riemann and Weyl geometries), oscillatory processes and vibrations, probability theory and its interpretations (especially the subjective one), classical versus quantum Bayesian inference, update of probabilities, Turing machines and random generators, action–reaction models, Feynman integrals for quickly growing potential functions, theory of open quantum systems, quantum master equation, quantum Markovian processes, mathematical modeling of decoherence in quantum and classical frameworks, Bell’s inequality and its probabilistic structure, mathematical models of theories of hidden variables, theory of cellular automata, quantum versus classical entropy, measures of quantum information, theory of complexity and optimization, quantum theory of classification, clustering based on the Hilbert space framework, and representation of information by density operators.