Gravitation: Global Formulation and Quantum Effects

TL;DR

This paper develops a global phase-factor approach to gravitation inspired by electromagnetism, deriving quantum effects like the Aharonov-Bohm effect and connecting it to classical teleparallel gravity without relying on the equivalence principle.

Contribution

It introduces a nonintegrable phase-factor framework for gravitation, linking quantum phenomena to teleparallel gravity and showing independence from the equivalence principle.

Findings

Derived phase shifts for COW and gravitational Aharonov-Bohm effects.

Demonstrated classical limit matches gravitational Lorentz force results.

Established teleparallel gravity's independence from the equivalence principle at quantum level.

Abstract

A nonintegrable phase-factor global approach to gravitation is developed by using the similarity of teleparallel gravity with electromagnetism. The phase shifts of both the COW and the gravitational Aharonov-Bohm effects are obtained. It is then shown, by considering a simple slit experiment, that in the classical limit the global approach yields the same result as the gravitational Lorentz force equation of teleparallel gravity. It represents, therefore, the quantum mechanical version of the classical description provided by the gravitational Lorentz force equation. As teleparallel gravity can be formulated independently of the equivalence principle, it will consequently require no generalization of this principle at the quantum level.