JMP  Vol.5 No.14 , August 2014
Physics in Discrete Spaces: On Quantum Theory
Author(s) Pierre Peretto*

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.

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