Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory
With Applications to Gravity and Particle Theory
Authors: Lev, Felix
Free Preview- 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
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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.
- About the authors
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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.
- Table of contents (11 chapters)
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Introduction
Pages 1-32
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A New Look at the Position Operator in Quantum Theory
Pages 33-95
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Basic Properties of dS Quantum Theories
Pages 97-123
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Algebraic Description of Irreducible Representations
Pages 125-138
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Two-Body Systems in Discrete Basis
Pages 139-167
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory
- Book Subtitle
- With Applications to Gravity and Particle Theory
- Authors
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- Felix Lev
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-61101-9
- DOI
- 10.1007/978-3-030-61101-9
- Hardcover ISBN
- 978-3-030-61100-2
- Edition Number
- 1
- Number of Pages
- XVII, 291
- Number of Illustrations
- 3 b/w illustrations, 1 illustrations in colour
- Topics
