  Thin superconducting films are predicted to be highly reflective mirrors for
gravitational waves at microwave frequencies. The quantum mechanical
non-localizability of the negatively charged Cooper pairs, which is protected
from the localizing effect of decoherence by an energy gap, causes the pairs to
undergo non-picturable, non-geodesic motion in the presence of a gravitational
wave. This non-geodesic motion, which is accelerated motion through space,
leads to the existence of mass and charge supercurrents inside the
superconducting film. On the other hand, the decoherence-induced localizability
of the positively charged ions in the lattice causes them to undergo
picturable, geodesic motion as they are carried along with space in the
presence of the same gravitational wave. The resulting separation of charges
leads to a virtual plasma excitation within the film that enormously enhances
its interaction with the wave, relative to that of a neutral superfluid or any
normal matter. The existence of strong mass supercurrents within a
superconducting film in the presence of a gravitational wave, dubbed the
"Heisenberg-Coulomb effect," implies the specular reflection of a gravitational
microwave from a film whose thickness is much less than the London penetration
depth of the material, in close analogy with the electromagnetic case. The
argument is developed by allowing classical gravitational fields, which obey
Maxwell-like equations, to interact with quantum matter, which is described
using the BCS and Ginzburg-Landau theories of superconductivity, as well as a
collisionless plasma model. Several possible experimental tests of these ideas,
including mesoscopic ones, are presented alongside comments on the broader
theoretical implications of the central hypothesis.

General Relativity and Quantum Cosmology;Superconductivity