This equation describes how time moves slower in stronger gravitation fields relative to time in less intense gravitational fields. For instance, time moves slower for us on the surface of Earth than a satellite in orbit.
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But something that is never mentioned is that this is the same reason that moving clocks go slower: If you move thru gravity, you will also experience time moving slower. Moving thru gravity subjects you to a stronger gravity field. Sort of like moving thru rain.
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This is one of the reasons why Einstein's theory of gravity replaces his Special Theory of Relativity.
The Dirac Equation is Relativistically Invariant.
Proof attached.
Proving the Relativistic Energy-Momentum relation, the hard way and the easier way.