Mathematical Physics


Gravitation is a Gradient in the Velocity of Light

Authors: DT Froedge

It has long been known that a photon entering a gravitational potential follows a path identical to that of a photon in a variable speed of light defined by the Shapiro velocity for Minkowski flat space [1]. A spatially variable speed of light is implicitly present in General Relativity, and in fact has a long history starting in the pre GR efforts of Einstein and others. The difference in the approach presented in this paper is not that gravitation changes the speed of light, but that gravitation is a change in the speed of light. There are lots of implications in this including whether or not gravitons and gravitational waves exist. It will be demonstrated that a pair of opposite going photons or massless bosoms, instantaneously located at a point have the mass and inertial properties of a massive particle, and transform under a change in the velocity of light exactly as a massive particle responds to a gravitational field. The mechanism for holding massless bosons together as a particle will not be addressed in this paper, but it is not necessary to illustrate confinement to demonstrate the transformation properties on photon momentum in a variable speed of light. At least some massive particles are in reality a confinement of massless bosons, and if it can be shown that the collective momentum is accelerated by a gradient in c, then the premise vindicated. It is shown here that the center of mass of a particle defined as a pair of opposite going null vector photons, in a gradient light speed, is accelerated exactly as a massive particle is accelerated in a gravitational potential. It is thus asserted that gravitation can be defined as a gradient in c produced by the presence of mass, and thus, Newton’s apple falls not because of an increase in energy, but because the speed of light at the branch is higher than the speed of light at the ground.

Comments: 17 Pages.

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Submission history

[v1] 2015-01-04 08:43:49
[v2] 2015-01-16 16:08:59
[v3] 2015-03-25 12:13:11
[v4] 2015-05-12 11:09:25

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