Revisions of the Foundations of Quantum Mechanics Suggested by Properties of Random Walk

DOI: 10.4236/jqis.2011.12009   PDF   HTML     3,609 Downloads   7,272 Views   Citations


A new theorem on random walks suggest some possible revisions of the foundations of Quantum Mechanics. This is presented below in the simplified framework of the description of the evolution of a material point in space. Grossly speaking, it is shown that the probabilities generated by normalizing the square modulus of a sum of probability amplitudes, in the setup of Quantum Mechanics, becomes asymptotically close (under the appropriate limiting conditions) to the probabilities generated by the usual causal processes of Classical Mechanics. This limiting coincidence has a series of interesting potential applications. In particular it allows us to reintroduce the concept of causality within the core of Quantum Mechanics. Moreover, it suggests, among other consequences, that gravitational interaction may not even exist. Even though the interpretations of Quantum Mechanics which follow from this mathematical result may seem to bring some unexpected innovations in the context of theoretical physics, there is an obvious necessity to study its theoretical impact on Quantum Mechanics. The first steps toward this aim are taken in the present article.

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R. Charreton, "Revisions of the Foundations of Quantum Mechanics Suggested by Properties of Random Walk," Journal of Quantum Information Science, Vol. 1 No. 2, 2011, pp. 61-68. doi: 10.4236/jqis.2011.12009.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. L. Charreton, “A Limit Law for the Random Walks with Physical Applications,” Comptes Rendus de l'Académie des Sciences, Vol. 345, No. 12, 2007, pp. 699-703.
[2] H. Poincaré, “La Mécanique Nouvelle, Conférence, mémoire et note sur la théorie de la relativité,” New Edition, Jacques Gabay, Paris, 1989.
[3] R. L. Charreton, “Révision des Fondements de la Mécanique Quantique et de la Gravitation,” L'Harmattan, Paris, 2009.
[4] I. Berkes and W. Philipp, “Approximation Theorems for Independent and Weakly Independent Random Vectors,” Annals of Probability, Vol. 7, 1979, pp. 29-54. doi:10.1214/aop/1176995146
[5] S. Haroche, “Le?ons données au Collège de France, Chaire de Physique Quantique,” Paris, 2007-2008.
[6] F. Selleri, “Le Grand Débat de la Théorie Quantique,” Flammarion, Paris, 1986, pp. 253-256.
[7] H., Poincaré, “Science et Méthode,” Final Edi-tion, Ernest Flammarion, Paris, 1908, p. 99.
[8] R. L. Char-reton, “Une mécanique nouvelle, Essai,” Published Online, July 2010.
[9] R. L. Charreton, “Vers un Changement de Paradigme en Physique,” Published Online, February 2011.
[10] R. L. Charreton, “Une Physique Atomique préQuantique,” Published Online, April 2011.
[11] R. L. Charreton, “Les Raies de Lyman et la loi de Titus-Bode,” Published Online, April 2011.
[12] R. L. Charreton, “L'origine des forces gravitationnelles et électriques, La nature des ondes électromagnétiques,” Published Online, April 2011.

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