Relativistic gravitation and superconductors

Abstract

The close connection between the weak equivalence principle and the gravitational red-shift of photons is shown using special relativity and conservation of energy. Superconductors are studied with the aid of a new covariant equation, that relates the differential of the phase of the order parameter to the 4-velocity of the superconductor. This equation is derived using spontaneous symmetry breaking and conservation of energy. Some physical consequences, including the electromagnetic field inside a cavity in a superconductor, are obtained using this equation. The experiment of Jain et al, which tested the strong equivalence principle for Cooper pairs, is discussed and two more experiments are proposed.

Identifiers

DOI

10.1088/0264-9381/11/6a/003

Citations and references