Temporal Pound-Rebka experiment as gravitational Aharonov-Bohm effect

One of the classical tests of general relativity is the precision measurements by Pound and Rebka of red-shift/blue-shift of photons in a gravitational field. In this essay, we lay out a temporal version of the Pound-Rebka experiment. The emission and absorption of photons occurs at different times, rather than at different spatial locations as in the original Pound-Rebka experiment. This temporal Pound-Rebka experiment is equivalent to a gravitational Aharonov-Bohm Effect and is testable via current or near future satellite experiments.