Physics in Discrete Spaces: On Quantum Theory
- 1 Laboratory of Physics and Modelling of Condensed Matter CNRS—Lpmmc, Grenoble, France
Abstract
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] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300390036003800390032003800330035000000 . 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.
- Peretto, P. (2014) Journal of Modern Physics, 5, 563-575. http://dx.doi.org/10.4236/jmp.2014.58067
- Higgs, P.W. (1964) Physical Review Letters, 13, 508. http://dx.doi.org/10.1103/PhysRevLett.13.508
- Zurek, W.H. (2003) Reviews of Modern Physics, 75, 715. http://dx.doi.org/10.1103/RevModPhys.75.715
- Hamermesh, M. (1962) Group Theory and It’s Applications to Physical Problems. Addison Weysley, Boston.
- Serre, J.P. (1998) Representations Lineaires des Groupes Finis. Hermann Paris.
- Rovelli, C. (2012) Et si le temps n’existait pas? Dunod Paris.
- Aspect, A., Grangier, P. and Roger, G. (1982) Physical Review Letters, 49, 91. http://dx.doi.org/10.1103/PhysRevLett.49.91
- Einstein, A., Podolsky, B. and Rosen, N. (1935) Physical Review Letters, 47, 777. http://dx.doi.org/10.1103/PhysRev.47.777
- Zeilinger, A., Ursin, R., Tiefenbacher, F., Schmitt-Manderbach, T., et al. (2007) Nature Physics, 3, 481. http://dx.doi.org/10.1038/nphys629
- Peretto, P. (1992) An Introduction to the Modelling of Neural Networks. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9780511622793