Incompatibility between Einstein's General Relativity and Heisenberg's Uncertainty Principle

Physics Essays

Physics Essays, Volume 31, Issue 3 (September 2018), Article 12

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Abstract: Are General Relativity and Quantum Mechanics incompatible? Each in their world, that of the infinitely large and that of the infinitely small, they did not seem to interfere as long as they avoided each other. However, it is their fundamental oppositions that prevent the scientific community from achieving a unification of physics. The proposal of this paper is to provide a mathematical proof of incompatibility, beyond the fact that they have fundamentally different principles, between the foundations of General Relativity and Quantum Mechanics, namely the deformation of the space-time geometry and the Uncertainty Principle. It will thus be possible to provide an absolute limitation in establishing a unifying theory of physics, if any. Moreover, while respecting the conditions fixed by the Uncertainty Principle, it will be tempted to determine with accuracy and simultaneity, the position and the speed of a non-relativistic particle, by application of relativistic principles and bypassing the problems raised by such an operation. The Uncertainty Principle as stated by Werner Heisenberg will be then, in the light of observations made on the measurement of the time dilatation and in accordance with its own terms, refuted by the present.

 

Résumé : La Relativité Générale et la Mécanique Quantique sont-elles incompatibles ? Chacune dans son monde, celui de l'infiniment grand et celui de l'infiniment petit, elles ne semblent pas interférer tant qu'elles s'évitent. Cependant, ce sont leurs oppositions fondamentales qui empêchent la communauté scientifique de réaliser une unification de la Physique. La proposition de cet article est de fournir une démonstration mathématique d'incompatibilité, au-delà du simple fait qu'elles aient des principes fondamentalement différents, entre les piliers de la Relativité Générale et de la Mécanique Quantique, soient la déformation de la géométrie de l'espace-temps et le Principe d'Incertitude. Il sera ainsi possible de définir une limitation absolue à l'établissement d'une théorie unificatrice de la Physique, s'il en est. De plus, tout en respectant les conditions fixées par le Principe d'Incertitude, il sera tenté de déterminer avec précision et simultanéité la position et la vitesse d'une particule non relativiste, en appliquant des principes relativistes tout en contournant les problèmes posés par une telle opération. Cette incompatibilité pourrait indiquer que la dilatation du temps, le Principe d'Incertitude ou encore notre vision d'une unification potentielle de la Physique pourraient être révisées. Le Principe d'Incertitude énoncé par Werner Heisenberg sera ainsi, au regard d'observations et mesures effectuées sur la dilatation du temps et conformément à ses propres conditions, réfuté par le présent développement.

Joint answers to dozens of questions asked about the conclusions of this paper: It does not reject Relativity. It is based on General Relativity to highlight what seems to be a problem of interpretation of relations (inequalities) of Heisenberg. This is to refute the Uncertainty Principle as a physical principle of indeterminacy by describing it as a mathematical theorem of unobservability. This is an important nuance and I think it will prevent panic attacks in the future. Moreover, setting aside the Lorentz factor does not change the conclusions. It was indeed voluntary.

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