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From my understanding of physics at the quantum level (photons and electrons and other elementary particles) one of the numbers that consistently cause problems in equations dealing with same is the number for the mass of a particle usually designated m and measured I believe in Mev?

It seems to me that, at least from what I have read so far, m doesnt cancel out like it is supposed to do in many of the equations dealing with electrons and photons.

I also "know" that m is usually considered to be a result or an effect of Gravity. (this is where I get lost usually)

Here is what I am wondering: Can Gravity be described as Moment of Inertia over a period of time? In other words Is the effect of gravity a result or an effect of each particles march through time?