Toward a Nonlocal Theory of Gravitation

TL;DR

This paper extends nonlocal theory to gravitational waves observed by accelerated observers, proposing modifications to wave equations and helicity-rotation coupling, aiming to develop a nonlocal classical gravitational theory.

Contribution

It introduces a nonlocal wave equation for gravitational waves and explores nonlocal effects on helicity-rotation coupling for accelerated observers.

Findings

Nonlocal modifications to helicity-rotation coupling.

A nonlocal wave equation for uniformly rotating observers.

Insights supporting a nonlocal classical gravitational theory.

Abstract

The nonlocal theory of accelerated systems is extended to linear gravitational waves as measured by accelerated observers in Minkowski spacetime. The implications of this approach are discussed. In particular, the nonlocal modifications of helicity-rotation coupling are pointed out and a nonlocal wave equation is presented for a special class of uniformly rotating observers. The results of this study, via Einstein's heuristic principle of equivalence, provide the incentive for a nonlocal classical theory of the gravitational field.