Modified Entropic Gravitation in Superconductors

TL;DR

This paper proposes a modified entropic gravity model for superconductors, suggesting a new repulsive gravitational force linked to quantum vacuum energy and weak equivalence principle violations, with potential cosmological implications.

Contribution

It introduces a novel gravitational force in superconductors based on volume-based information storage, extending Verlinde's entropic gravity framework.

Findings

New gravitational force depends on weak equivalence principle breaking in superconductors

Force can be interpreted as a surface force

Experimental detection appears challenging

Abstract

Verlinde recently developed a theoretical account of gravitation in terms of an entropic force. The central element in Verlinde's derivation is information and its relation with entropy through the holographic principle. The application of this approach to the case of superconductors requires to take into account that information associated with superconductor's quantum vacuum energy is not stored on Planck size surface elements, but in four volume cells with Planck-Einstein size. This has profound consequences on the type of gravitational force generated by the quantum vacuum condensate in superconductors, which is closely related with the cosmological repulsive acceleration responsible for the accelerated expansion of the Universe. Remarkably this new gravitational type force depends on the level of breaking of the weak equivalence principle for cooper pairs in a given superconducting material, which was previously derived by the author starting from similar principles. It is also shown that this new gravitational force can be interpreted as a surface force. The experimental detection of this new repulsive gravitational-type force appears to be challenging.