Gravitational modulation of particle clustering: A new class of gravitationally induced quantum interference

A gravitational potential difference between the two components of a split fermion or boson beam in a particle interferometer modulates the cross-correlation in particle fluctuations and the variance in difference counts of the two output beams received at two detectors. The gravitational potential difference also modulates the conditional probability that a fermion will be received at a single detector given that one has been registered at an earlier time. The proposed effects are particle analogues of the optical Hanbury Brown-Twiss experiments; they represent a new kind of intrinsically nonrelativistic gravitationally induced quantum interference different in concept and in observational procedure from that of the Colella-Werner-Overhauser experiment. The effects should be observable with field-emission electron beams and slow neutron beams.The original essay upon which this article is based received an honorable mention from the Gravity Research Foundation for the year 1987.