The highest electron pressure on Earth will be found at the center of mass for the planet. There electrons will be interacting. The slight over-pressure of electrons will cause some of these particles to want to escape. Given that electrons tend to travel at speeds that are about 1% of the speed of light these particles speed outwards.
The electron will want to move along a gradient that is from high density to low density. Given the relative spacing of atoms in the lattice of the earth's core an electron might make it quite far. The main takeaway is that the fast moving particles are moving fast.
If particles are leaving the Earth's center of mass they will be quickly replaced. The replacement will not be in quite the same manner as the outward bound electrons. The replacement electron will likely slide in from a nearby atom or molecule. Just like stepping down a ladder the electrons will backfill the electron that left. Eventually the electron that left rapidly will slow down and become one of the electrons that backfill.
So we have light fast moving particles that move from the center of mass towards the periphery. This movement causes a counter-movement of mass towards the center of mass. This is analogous to the return path of an electric circuit. In this case the return electrons drag positively charge nuclei with them. This creates an overwhelming slow pull inwards towards the center of mass. This is gravity.
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