Matter–Matter Interaction Before G-Amplification

For an object of matter with electrons, the average velocity at its center of mass (CM) is: 

v = N*(dx/dt)/N = (N*dx)/(N*dt)

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From v=dx/dt and v*dt = dx, substitute for dx to yield (v*N*dt)/(N*dt) = v.

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So adding more electrons preserves the form of the velocity expression, but changes how numerator and denominator scale when interactions occur.

The scalar speed s=|v| is always > 0; there is no absolute rest.  (Remember, from Earth’s frame of reference, “rest” on the surface still corresponds to a through-space speed of around 300,000 km/hr.)

In any chosen unit system, we can pick a scale where s > 1. For example, instead of s=0.5 (m/sec) we can used s=50 (cm/sec).

When matter interacts, adding more interacting electrons increases both:

• numerator as s*N*dt, and

• denominator as N*dt.

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But because s > 1, the numerator grows faster than the denominator.  So the speed increases as more electrons participate.

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Note that in normal stable matter, the count of electrons is equivalent to the number of protons in the nucleus, with proton count proportional to neutron count, where the nucleus produces most of the system mass.  But EM fields are not bound in the nucleus, so superpose in constructive interference in macro mass systems, where the nuclei remain isolated, not directly interacting.  So, the electron count is proportional to, while different from the system mass through those factors.

For two interacting bodies, as their CMs get closer, more electrons can interact, so both N and the numerator increase.
As N increases, a larger numerator causes the fraction to yield a larger value, thus the ratio yielding speed increases.

This continuous increase in speed along that inter-CM shortest-path is observed as gravitational acceleration.  Note that this acceleration is before applying the geometry-dependent amplification of G, which increases the rate of attraction above nominal inverse square proportionality.

For matter–antimatter interactions, macro-scale matter and macro-scale antimatter structures repel, as their displacement contributions oppose, with the antimatter rotation cross product vector reversal. In other words, the electrons and positrons spin in opposite directions about the central axis velocity vector, and thus have opposite cross product direction vectors.  Where macro matter-to-matter is attractive acceleration, matter-to-antimatter has opposing vectors as repulsive acceleration.

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