The Pound–Rebka experiment is a well-known experiment to test Albert Einstein's theory of general relativity in 1959. The result confirmed the predictions of general relativity. Proponents of the theory of general relativity offer three different conflicting explanations of these results that are said to be equivalent to each other and therefore are all equally correct. The main problem with this explanation lies in the conceptualization of a physical process by which mass, momentum and energy could be either added to or subtracted from a photon without changing its velocity or angular momentum. Such a mechanism has never been proposed except for a mathematical description of a four-dimensional substance called a “space-time continuum.” This is a non-Doppler explanation of the shifts in which both source, observer and all photons are in the same inertial reference frame and the photons move at exactly c relative to both source and observer.

Apparent Weight of Photons; Physical Review Letters - PHYS REV LETT , vol. 4, no. 7, pp. 337-341, 1960

http://www.uam.es/personal_pdi/ciencias/jcuevas/Teaching/Pound-Rebka-PRL1960.pdf

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