Modeling a nonperturbative spinor vacuum interacting with a strong gravitational wave

TL;DR

This paper models the interaction between strong gravitational waves and a nonperturbative spinor vacuum, revealing analogies to quantum mechanics and suggesting potential experimental tests of gravitational-electromagnetic phenomena.

Contribution

It introduces an approximate model describing nonperturbative spinor vacuum effects on gravitational waves, with solutions analogous to quantum periodic potentials.

Findings

Periodic gravitational wave solutions similar to Schrödinger equation solutions

Existence of weak electric charge and current densities with gravitational waves

Proposal for experimental verification of gravitational-electromagnetic interactions

Abstract

We consider the propagation of strong gravitational waves interacting with a nonperturbative vacuum of spinor fields. To described the latter, we suggest an approximate model. The corresponding Einstein equation has the form of the Schr\"odinger equation. Its gravitational-wave solution is analogous to the solution of the Schr\"odinger equation for an electron moving in a periodic potential. The general solution for the periodic gravitational waves is found. The analog of the Kronig-Penney model for gravitational waves is considered. It is shown that the suggested gravitational-wave model permits the existence of weak electric charge and current densities concomitant with the gravitational wave. Based on this observation, a possible experimental verification of the model is suggested.