Gravitomagnetic London Moment and the Graviton Mass inside a Superconductor

TL;DR

This paper explores the magnetic and gravitomagnetic effects in superconductors using Proca equations, proposing a link between photon and graviton masses and observed anomalies.

Contribution

It introduces a novel theoretical framework connecting photon and graviton masses to superconducting phenomena, addressing the Cooper pair mass anomaly.

Findings

Derivation of magnetic and gravitomagnetic properties of superconductors

Explanation of the Cooper pair mass anomaly via graviton mass

Proposal of a gravitomagnetic London moment concept

Abstract

Using Proca electromagnetic and gravitoelectromagnetic equations the magnetic and gravitomagnetic properties of a rotating superconductor are respectively derived. Perfect diamagnetism, and the magnetic London moment are deduced from the photon mass in the superconductor. Similarly, it is shown that the conjecture proposed by the authors to resolve the cooper pair mass anomaly reported by Tate, can be explained by a graviton mass in the superconductor different with respect to its expected cosmological value.