Gravitation at the Josephson Junction

TL;DR

This paper proposes that Josephson junctions can convert electrical energy into space-time curvature, supported by a derived geometric potential and energy conservation relations, suggesting new experimental avenues in quantum superconducting systems.

Contribution

It introduces a novel theoretical framework linking Josephson junctions with space-time curvature and proposes experimental methods to verify this energy conversion.

Findings

Derived a geometric potential from the kinetic term of a quantum condensate.

Established an energy conservation relation involving geometric fields.

Discussed experimental procedures for voltage-to-curvature conversion.

Abstract

A geometric potential from the kinetic term of a constrained to a curved hyperplane of space-time quantum superconducting condensate is derived. An energy conservation relation involving the geometric field at every material point in the superconductor is demonstrated. At a Josephson junction the energy conservation relation implies the possibility of transforming electric energy into geometric field energy, that is, curvature of space-time. Experimental procedures to verify that the Josephson junction can act as a voltage-to-curvature converter are discussed.