Logical Foundation of Theoretical Physics

Logical Foundation of Theoretical Physics
Author: Gunn Alex Quznetsov
Publisher: Nova Publishers
Total Pages: 136
Release: 2006
Genre: Mathematics
ISBN: 9781594549489

In this book the principal properties of spatial-temporal relations are deduced from logical characteristics of information. The objective probability function is obtained from the classical propositional logic by a generalisation of Boolean functions. Fundamental principles of quantum theory are obtained as a result of expressing of event probabilities by spinors.

Foundations of Quantum Theory

Foundations of Quantum Theory
Author: Klaas Landsman
Publisher:
Total Pages: 880
Release: 2020-10-09
Genre: Science
ISBN: 9781013278365

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Foundations of Physics

Foundations of Physics
Author: Mario Bunge
Publisher: Springer Science & Business Media
Total Pages: 267
Release: 2013-03-13
Genre: Science
ISBN: 3642492878

This is not an introduction to physics but an analysis of its founda tions. Indeed, the aims of this book are: (1) to analyze the form and content of some of the key ideas of physics; (2) to formulate several basic physical theories in an explicit and orderly (i. e. , axiomatic) fashion; (3) to exhibit their presuppositions and discuss some of their philosoph ical implications; (4) to discuss some of the controversial issues, and (5) to debunk certain dusty philosophical tenets that obscure the under standing of physics and hinder its progress. To the extent to which these goals are attained, the volume can serve as a companion to studies in theoretical physics aiming at deepening the understanding of the logical structure and the physical meaning of our science. In order to keep the book slender, whole fields of basic physical research had to be excluded - chiefly many-body physics, quantum field theories, and elementary particle theories. A large coverage was believed to be less important than a comparatively detailed analysis and reconstruction of three representative monuments: classical mechan ics, general relativity, and quantum mechanics, as well as their usually unrecognized presuppositions. The reader is invited to join the project and supply some of the many missing chapters - or to rewrite the present ones entirely.

Logical Foundation of Fundamental Theoretical Physics

Logical Foundation of Fundamental Theoretical Physics
Author: Gunn Quznetsov
Publisher: LAP Lambert Academic Publishing
Total Pages: 180
Release: 2013
Genre:
ISBN: 9783659450884

... an elementary physical particle represents an ensemble of dot events associated probabilities. And charge, mass, energy, momentum, spins, etc. represent parameters of distribution of these probabilities.... the fundamental essence of nature are not particles and fields, but dot events and connecting them probability... the fundamental theoretical physics is one among of extensions of classical propositional logic...

The Logical Foundations of Scientific Theories

The Logical Foundations of Scientific Theories
Author: Decio Krause
Publisher: Routledge
Total Pages: 161
Release: 2016-07-15
Genre: Mathematics
ISBN: 131553519X

This book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.

Information Theory and Quantum Physics

Information Theory and Quantum Physics
Author: Herbert S. Green
Publisher: Springer Science & Business Media
Total Pages: 248
Release: 2012-12-06
Genre: Science
ISBN: 364257162X

In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.

Foundations of Quantum Theory

Foundations of Quantum Theory
Author: Klaas Landsman
Publisher: Springer
Total Pages: 881
Release: 2017-05-11
Genre: Science
ISBN: 3319517775

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.

Topics In Modern Physics: Theoretical Foundations

Topics In Modern Physics: Theoretical Foundations
Author: John Dirk Walecka
Publisher: World Scientific Publishing Company
Total Pages: 499
Release: 2013-01-21
Genre: Science
ISBN: 9814436917

While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schrödinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.

Foundations of Science

Foundations of Science
Author: Norman Robert Campbell
Publisher:
Total Pages: 582
Release: 1957
Genre: Philosophy
ISBN:

A bridge between semipopular works for the general reader has technical treatises written for specialists, this excellent work discusses the foundation ideas and background of modern physics. It is not a text on theoretical physics, but a discussion of the methods of physical description and construction of theory. It is especially valuable for a physicist with a background in elementary calculus who is interested in the ideas which give meaning to the data and tools of modern physics.