Bohmian mechanics of Klein-Gordon equation via quantum metric and mass

Abstract

The causal stochastic interpretation of relativistic quantum mechanics has the problems of superluminal velocities, motion backward in time and the incorrect non-relativistic limit. In this paper, according to the original ideas of de Broglie, Bohm and Takabayasi, we have introduced simultaneous quantum mass and quantum metric of curved spacetime to obtain a correct relativistic theory free of mentioned problems. \keywords{Bohmian mechanics; Klein-Gordon equation; quantum conformal transformations.

7 pages