#### Mike_Fontenot

**Registered Senior Member**

http://viXra.org/abs/2109.0076?ref=12745236

Here is the title and abstract:

"An Inconsistency Between the Gravitational Time Dilation Equation and the Twin Paradox"

Abstract:

It is shown in this monograph that the Gravitational Time Dilation Equation, together with the well-known Equivalence Principle relating gravitation and acceleration, produce results that contradict the required outcome at the reunion of the twins in the famous twin ‘paradox’. The Equivalence Principle Version of the Gravitational Time Dilation Equation (the “EPVGTD” equation) produces results that say that, when the traveling twin (he) instantaneously changes his velocity, in the direction TOWARD the distant home twin (her), that he will conclude that her age instantaneously becomes INFINITE. It is well known that, according to her, at their reunion, she will be older than him, but both of their ages will be FINITE. The twins clearly MUST be in agreement about their respective ages at the reunion, because they are co-located there.

I've also published it on Amazon under the same title. It can be found most easily on Amazon by searching on my full name:

"Michael Leon Fontenot" .

When my manuscript comes up, you can click on "Look Inside", and on the back cover, there is a small photo of yours truly, impersonating an old codger.

The remaining question that I'd like the answer to, is "Has the gravitational time dilation equation been experimentally confirmed for arguments of the exponential function that are large enough to test the non-linear portion of the exponential curve?" I.e., is it possible that the "modified linearized Gravitational Time Dilation equation (the MLGTD equation, in Section 7 of my monograph) is the correct GDT equation, and that the exponential version is incorrect?