Overview
- Demonstrates that quantum theory based on finite mathematics is more general than standard theory
- Shows also that finite mathematics is itself more general than standard mathematics
- Presents that the concepts of particles and antiparticles emerge as an approximate notion valid in special situations, while electric charge and baryon- and lepton quantum numbers can be only approximately conserved
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About this book
This book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved.
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Keywords
- Finite Quantum theory
- Foundation of Quantum Theory
- Quantum de Sitter Symmetry
- Foundation of Mathematics
- Gravity in Finite Quantum Theory
- Cosmological Accelleration and de Sitter Symmetry
- Particle and Antiparticle Quantum Numbers
- Quantal Paradox for Photons from Stars
- Dirac Singletons
- Nature of Time Conjecture
Table of contents (11 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Felix Lev received Master’s degree from the Moscow Institute for Physics and Technology (Moscow, Russia), Ph.D. from the Institute of Theoretical and Experimental Physics (Moscow, Russia) and Dr. Sci. degree from the Institute for High Energy Physics (Serpukhov Accelerator) (Protvino, Russia). He was Leading Scientist of the Joint Institute for Nuclear Research (Dubna, Russia) and currently he is Senior scientist of Artwork Conversion Software Inc (Manhattan Beach, California, USA). He is the author of more than 100 publications in leading journals on physics and mathematical physics.
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Bibliographic Information
Book Title: Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory
Book Subtitle: With Applications to Gravity and Particle Theory
Authors: Felix Lev
DOI: https://doi.org/10.1007/978-3-030-61101-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-61100-2Published: 03 November 2020
Softcover ISBN: 978-3-030-61103-3Published: 03 November 2021
eBook ISBN: 978-3-030-61101-9Published: 03 November 2020
Edition Number: 1
Number of Pages: XVII, 291
Number of Illustrations: 3 b/w illustrations, 1 illustrations in colour
Topics: Quantum Physics, Mathematical Logic and Foundations, History and Philosophical Foundations of Physics, Classical and Quantum Gravitation, Relativity Theory, Particle and Nuclear Physics