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

@article{Lev2019FiniteMF, title={Finite Mathematics, Finite Quantum Theory and a Conjecture on the Nature of Time}, author={Felix M. Lev}, journal={Physics of Particles and Nuclei}, year={2019} }

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…

## 3 Citations

Symmetries in Foundation of Quantum Theory and Mathematics

- Physics, MathematicsSymmetry
- 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 → ∞ .

Once More on Potential vs. Actual Infinity

- Mathematics
- 2019

The {\it technique} of classical mathematics involves only potential infinity, i.e. infinity is understood only as a limit. However, {\it the basis} of classical mathematics does involve actual…

Cosmological Acceleration as a Consequence of Quantum de Sitter Symmetry

- PhysicsPhysics of Particles and Nuclei Letters
- 2020

Physicists usually understand that physics cannot (and should not) derive that $c\approx 3\cdot 10^8m/s$ and $\hbar \approx 1.054\cdot 10^{-34}kg\cdot m^2/s$. At the same time they usually believe…

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