Volume 21, Issue 4, November 2017, Pages 635–639
A.-Roger LULA BABOLE1
1 Département de Mathématiques et Informatique, Université de Kinshasa, RD Congo
Original language: French
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The internal limitations of relativist quantic mechanic establish the incomplete character and undecidable of physics theories in the light of results of GÖDEL’s theorem. From this mechanic, the research shows that a formal system which involves the natural integers cannot be in the same time complete and consistent. In addition, it proves that the coherence of a such system can be demonstrate “inside” of formal system.
Author Keywords: incompleness, special relativity, general relativity, relativist quantic mechanic, SCHRÖDINGER’s equation, DIRAC’s equation, continuous’ equation.
A.-Roger LULA BABOLE1
1 Département de Mathématiques et Informatique, Université de Kinshasa, RD Congo
Original language: French
Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The internal limitations of relativist quantic mechanic establish the incomplete character and undecidable of physics theories in the light of results of GÖDEL’s theorem. From this mechanic, the research shows that a formal system which involves the natural integers cannot be in the same time complete and consistent. In addition, it proves that the coherence of a such system can be demonstrate “inside” of formal system.
Author Keywords: incompleness, special relativity, general relativity, relativist quantic mechanic, SCHRÖDINGER’s equation, DIRAC’s equation, continuous’ equation.
Abstract: (french)
Les limitations internes de la mécanique quantique relativiste établissent le caractère incomplet et indécidable des théories physiques au regard des résultats du théorème de GÖDEL. Partant de cette mécanique, l’étude montre qu’un système formel qui comprend les entiers naturels ne peut pas à la fois être complet et consistant. De plus, elle prouve que la cohérence d’un tel système ne peut pas se démontrer « à l’intérieur » du système formel.
Author Keywords: L'incomplétude, la relativité spéciale, la relativité générale, la mécanique quantique relativiste, l'équation de SCHRÖDINGER, l'équation de DIRAC, l'équation continue.
How to Cite this Article
A.-Roger LULA BABOLE, “L’incomplétude et la mécanique quantique relativiste,” International Journal of Innovation and Applied Studies, vol. 21, no. 4, pp. 635–639, November 2017.
