Finite Mathematics, Finite Quantum Theory and a Conjecture on the Nature of Time

  title={Finite Mathematics, Finite Quantum Theory and a Conjecture on the Nature of Time},
  author={Felix M. Lev},
  journal={Physics of Particles and Nuclei},
  • F. Lev
  • Published 19 October 2017
  • Mathematics
  • Physics of Particles and Nuclei
We describe in detail the result of our previous publications that classical mathematics (involving such notions as infinitely small/large, continuity etc.) is a degenerate special case of finite one in the formal limit when the characteristic $p$ of the field or ring in finite mathematics goes to infinity. We consider a finite quantum theory (FQT) based on finite mathematics and show that standard continuous quantum theory is a special case of FQT in the formal limit $p\to\infty$. The… 
Symmetries in Foundation of Quantum Theory and Mathematics
  • F. Lev
  • Physics, Mathematics
  • 2020
FQT and finite mathematics are more general than standard quantum theory and classical mathematics, respectively: the latter theories are special degenerated cases of the former ones in the formal limit p → ∞ .
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  • Mathematics, Physics
  • 1993
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  • H. Zassenhaus
  • Mathematics
    Proceedings of the Glasgow Mathematical Association
  • 1954
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