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Butch is right on this point - gravity has no role in it. This confusion comes out of Einstein's claim that acceleration and gravity are equivalent, but they are radically different. If a clock sits in a gravitational field where it feels the same "acceleration" force on it all the time, it will tick at a constant rate, whereas if a clock is actually being accelerated it will tick at an ever-changing rate.

That all depends upon the relationship between gravity and momentum.

Unless you can state categorically that a gravitational field is unaffected by acceleration then you cannot make that claim.

has to be affected in some way as you are moving a mass through space and the mass is the source of gravitation.

In the discussion, there are two inertial frames which have no mass, light which has no mass, time which has no mass, speed which has no mass, length (distance) which has no mass and a light path which consists of two points (coordinates) which have no mass. Nothing being discussed here has mass.Thank you,Butch

The Time Dilation Factor – gamma Oversight (Draft)Thorntone Errick Murray February 24, 2014ABSTRACT: The origin and foundation of the time dilation factor, gamma, is a particular equation based on a particular right triangle and the Pythagorean theorem.