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Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory

With Applications to Gravity and Particle Theory

Authors: Lev, Felix

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  • 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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eBook $109.00
price for USA in USD
  • ISBN 978-3-030-61101-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
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.

About the authors

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)

Table of contents (11 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-030-61101-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
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Bibliographic Information

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
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