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Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory: With Applications to Gravity and Particle Theory. 2020 ed.
・ISBN 978-3-030-61103-3 paper EUR 99.99
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| 著者・編者 | Lev, Felix, |
|---|---|
| 出版社 | (Springer Nature Switzerland AG, SZ) |
| 出版年月 | 2021 |
| ページ数 | 291 pp. |
| 言語 | ENG |
| ニュース番号 | <A02-61176> |
解説
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.