Bohmian mechanics of Klein-Gordon equation via quantum metric and mass
S. Jalalzadeh, A. J. S. Capistrano
TL;DR
This paper develops a relativistic Bohmian mechanics framework for the Klein-Gordon equation by introducing quantum mass and quantum metric, addressing issues like superluminal velocities and non-relativistic limits.
Contribution
It proposes a novel approach using quantum metric and mass to formulate a consistent relativistic Bohmian mechanics for Klein-Gordon particles.
Findings
Eliminates superluminal velocity issues
Ensures correct non-relativistic limit
Provides a geometrically consistent relativistic theory
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.