Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory

£89.50

Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory

With Applications to Gravity and Particle Theory

Mathematical foundations Mathematical logic Physics Gravity Particle and high-energy physics Quantum physics (quantum mechanics and quantum field theory)

Author: Felix Lev

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Language: English

Published by: Springer

Published on: 3rd November 2020

Format: LCP-protected ePub

Size: 15 Mb

ISBN: 9783030611019


About the 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.

Key Concepts

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.

Additional Insights

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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