Physics in Discrete Spaces: On Quantum Theory


In this article we show that quantum physics is a straightforward and comprehensive consequence of the model of discrete space-time that we have put forward in [1]. We first introduce the concept of coherent domains and give a proof of the various postulates and principles that form the basis of one-particle quantum systems. Then we consider how spin-statistic theorem and the formalism of second quantization, that are prerequisites for a description of many-particles systems, emerge from the model. Finally the same framework suggests the idea of rigid histories which allows an interpretation of quantum entanglement to be proposed.

Share and Cite:

Peretto, P. (2014) Physics in Discrete Spaces: On Quantum Theory. Journal of Modern Physics, 5, 1370-1386. doi: 10.4236/jmp.2014.514138.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Peretto, P. (2014) Journal of Modern Physics, 5, 563-575.
[2] Higgs, P.W. (1964) Physical Review Letters, 13, 508.
[3] Zurek, W.H. (2003) Reviews of Modern Physics, 75, 715.
[4] Hamermesh, M. (1962) Group Theory and It’s Applications to Physical Problems. Addison Weysley, Boston.
[5] Serre, J.P. (1998) Representations Lineaires des Groupes Finis. Hermann Paris.
[6] Rovelli, C. (2012) Et si le temps n’existait pas? Dunod Paris.
[7] Aspect, A., Grangier, P. and Roger, G. (1982) Physical Review Letters, 49, 91.
[8] Einstein, A., Podolsky, B. and Rosen, N. (1935) Physical Review Letters, 47, 777.
[9] Zeilinger, A., Ursin, R., Tiefenbacher, F., Schmitt-Manderbach, T., et al. (2007) Nature Physics, 3, 481.
[10] Peretto, P. (1992) An Introduction to the Modelling of Neural Networks. Cambridge University Press, Cambridge.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.