Extended Analysis of Gravitomagnetic Fields in Rotating Superconductors and Superfluids

TL;DR

This paper extends Ginzburg-Landau theory to include frame dragging in rotating superconductors, predicting large gravitomagnetic fields that could explain anomalies in Cooper pair mass and superfluid momentum exchange phenomena.

Contribution

It introduces a novel theoretical framework incorporating frame dragging effects into superconductors, predicting significant gravitomagnetic fields and offering explanations for experimental anomalies.

Findings

Predicted large gravitomagnetic fields in superconductors.

Explained Cooper pair mass anomaly using gravitomagnetic effects.

Suggested reduced light and gravity speeds in Bose-Einstein condensates.

Abstract

Applying the Ginzburg-Landau theory including frame dragging effects to the case of a rotating superconductor, we were able to express the absolute value of the gravitomagnetic field involved to explain the Cooper pair mass anomaly previously reported by Tate. Although our analysis predicts large gravitomagnetic fields originated by superconductive gyroscopes, those should not affect the measurement of the Earth gravitomagnetic field by the Gravity Probe-B satellite. However, the hypothesis might be well suited to explain a mechanical momentum exchange phenomena reported for superfluid helium. As a possible explanation for those abnormally large gravitomagnetic fields in quantum materials, the reduced speed of light (and gravity) that was found in the case of Bose-Einstein condensates is analysed.