Relativity and Cosmology


Regarding the Scalar Perturbations of Small Bodies; a Link Between Gravitational Nonlocality and Quantum Indeterminacy.

Authors: Ryan C. Rankin

Using the Friedman-Lemaitre-Robertson-Walker (FLRW) universe as a background metric, purely General relativistic (classical) scalar metric perturbations are investigated for small bodies. For the approximation of a point-like perturbing mass in the closed FLRW universe, the scalar perturbation may be written in a form obeying precisely the Dirac equation up to a factor playing the role of Planck’s constant. A physical interpretation suggests the scalar perturbation in this form is the wavefunction of quantum mechanics. Such an interpretation indicates the nonlocality of gravitational energy/momentum in General relativity leads naturally to the indeterminacy of quantum mechanics. Some physical consequences and predictions are discussed and briefly explored.

Comments: 14 Pages.

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Submission history

[v1] 2017-01-27 00:13:53

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