Superconductor in static gravitational, electric and magnetic fields with vortex lattice

TL;DR

This paper investigates the potential interaction between Earth's gravitational field and superconductors with vortex lattices under external electric and magnetic fields, predicting measurable effects using Ginzburg-Landau and gravito-Maxwell theories.

Contribution

It introduces a theoretical framework combining Ginzburg-Landau and gravito-Maxwell formalisms to analyze gravitational effects in superconductors with vortex lattices under static fields.

Findings

Analytic solutions for generated fields inside the superconductor.

Identification of physical parameters to maximize the effects.

Prediction of a local gravitational field modification and a new electric field component.

Abstract

We estimate the conjectured interaction between the Earth gravitational field and a superconductor immersed in external, static electric and magnetic field. The latter is close to the sample upper critical field and generates the presence of a vortex lattice. The proposed interaction could lead to multiple, measurable effects. First of all, a local affection of the gravitational field inside the superconductor could take place. Second, a new component of a generalized electric field parallel to the superconductor surface is generated inside the sample. The analysis is performed by using the time-dependent Ginzburg-Landau theory combined with the gravito-Maxwell formalism. This approach leads us to analytic solutions of the problem, also providing the average values of the generated fields and corrections inside the sample. We will also study which are the physical parameters to optimize and, in turn, the most suitable materials to maximize the effect.