Further Development of the Mie-de Broglie Theory of Quantum Gravity and the Implications for the General Theory of Relativity

Abstract

The Mie‐de Broglie theory of quantum gravity, derived in a previous paper by the author, had a restricted value because it seemed rather disconnected from main stream modern physics, due to the circumstance that both Mie’s and de Broglie’s theories have become “losing” or forgotten theories in the history of physics. But the Mie‐de Broglie QG, incorporating a unification at the level of electrons, atoms and nuclei, is less isolated than it seems. With the use of von Laue’s relativistic tensor dynamics I will connect the Mie‐de Broglie QG to modern physics. A relation derived by Yarman will prove to be a key ingredient. As a result, we claim that one of the basic axioms of General Theory of Relativity, the principle of equivalence, is incompatible with the existence of de Broglie’s wave‐lengths in Quantum Mechanics. So GTR and QM, as based on the wavelength postulate, are non‐unifiable. If we choose de Broglie’s phase harmony as fundamental, a new theory of gravity is needed. The Mie‐Yarman theory of gravity seems to qualify as such.