Quantum wave equations in curved space-time from wave mechanics

TL;DR

This paper derives alternative Klein-Gordon and Dirac equations in curved spacetime using a direct classical-quantum correspondence approach, providing new formulations for quantum wave equations in gravitational fields.

Contribution

It introduces novel versions of quantum wave equations in curved spacetime based on a direct classical-quantum correspondence method, differing from traditional derivations.

Findings

New formulations of Klein-Gordon and Dirac equations in curved spacetime

Provides a different derivation approach from classical-quantum correspondence

Potential implications for quantum gravity research

Abstract

Alternative versions of the Klein-Gordon and Dirac equations in a curved spacetime are got by applying directly the classical-quantum correspondence.