Effect of medium on fundamental interactions in gravity and condensed matter

TL;DR

This paper explores the analogy between the exponential cutoff of gravitational fields caused by background matter and the magnetic field behavior in superconductors, revealing insights into fundamental interactions in gravity and condensed matter.

Contribution

It establishes a mathematical analogy between gravitational exponential cutoff effects and magnetic fields in superconductors, bridging concepts across gravity and condensed matter physics.

Findings

Demonstrates the mathematical analogy between gravity and superconductivity effects

Shows the exponential cutoff in gravity is similar to magnetic field behavior in superconductors

Provides insights into fundamental interactions in both fields

Abstract

Recently, it was shown that the gravitational field undergoes exponential cutoff at large cosmological scales due to the presence of background matter. In this article, we demonstrate that there is a close mathematical analogy between this effect and the behavior of the magnetic field induced by a solenoid placed in a superconductor.