## On the Variation of Vacuum Permittivity in General Relativity

**Authors:** William Q Sumner

Vacuum permittivity is the scalar in Maxwell’s equations that determines the speed of light and the strength of electrical fields. In 1907 Albert Einstein found that vacuum permittivity changes with gravity. Møller, Landau & Lifshitz, and Sumner found that it changes with spacetime curvature.
The wavelengths of both photons and atomic emissions decrease with vacuum permittivity but the photons emitted from atoms decrease more than photons themselves do. This changes the interpretation of gravitational redshift to one where blueshifted photons are compared to greater blueshifted atomic emissions.
For Schwarzschild geometry, redshifts can be calculated most accurately using the metric. The equation derived using time dilation and the one derived here are identical. Their weak field approximation is the same as the redshift derivation using special relativity with Doppler shift.
For Friedmann geometry, redshifts calculated by comparing blueshifted atomic emissions to those of photons flips the meaning of Hubble redshift. The universe is accelerating in collapse, a result confirmed by supernova redshift observations. The equations and logic used for Friedmann and Schwarzschild redshifts are identical. Only their vacuum permittivities are different.

**Comments:** 10 Pages.

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### Submission history

[v1] 2017-11-02 06:21:17

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