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Getting back to GoC and puppypower. If gravity lowers entropy (locally only) and increasing gravitational field strength slows down time then there looks like there is an indirect relationship between time dilation and entropy. If an increase in time dilation can be tied to lower entropy then at the event horizon of a black hole the entropy would have to decrease. Yet tidal forces would have exactly the opposite effect. Both can't be true. To resolve this issue there would need to be a velocity dependence on the state of entropy when moving through an increasing gravitational field.