Interference and inertia: A superfluid-helium interferometer using an internally porous powder and its inertial interactions

A torus filled with superfluid helium and a powder of a porous solid which contains internal pores having diameters comparable to the coherence length should exhibit Sagnac-Josephson interference when rotated. Analysis is made of the effect of this interference upon the resonance frequency of a torsional oscillator. An inertial mass arising from quantum-mechanical interference is derived. Connection of this interference to general relativistic effects is explored, including the Lense-Thirring effect and gravitational radiation