Gravity fall of light: An outline of a general relativity test

Physics

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Experimental Tests Of Gravitational Theories, Fundamental Problems And General Formalism

Scientific paper

We have found the following general relativity (GR) result: when a light ray is emitted and travels in a (nearly) uniform gravitational field g, its parabolic trajectory is that of one that would be traced by a massive Newtonian particle in a field three times greater, 3g. So, if a photon departs from a point on the Earth’s surface, with an initial horizontal direction, and goes over a distance ΔL[(ΔL/R)≪1], its linear vertical deflection is ΔHGR=3/2[g(ΔL)2/c2]. The Newtonian result would be three times smaller. That is to say, the principle of equivalence is responsible for one-third of the vertical deflection. We think that this remarkable difference deserves research into the possibility of a GR test based on the vertical fall of terrestrial light.

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