Given the meager ability of current particle accelerators to create matter from energy, it is not unreasonable to hypothesize that, even in the cauldron of energy brought-forth by the Big Bang, that a relatively small proportion of the total energy was expended in the creation of known particles. Under this hypothesis, a larger fraction of the energy would have been dispersed by radiated energy - with its subsequent, and not insignificant, gravitational effect on the matter left behind.
Changing Rates of Acceleration
The initial conditions of the GRSGM hypothesis explicitly incorporates momentum as a key component influencing the dynamics of the Universe. Under this framework, the dynamics resulting from an initial velocity and the gravitational tides of the GRSGM hypothesis could provide the basis for an explanation of the rate of change in the acceleration observed in the expansion of the Universe.
To understand the process that could create a changing rate of acceleration of the observable Universe would depend upon the relative magnitudes of the post-Big Bang outward kinetic energy of the mass, the inwardly directed force of gravitational attraction to all the other mass in the observable Universe and the outwardly directed force of gravity of the GRSGM. In this hypothesis, the observable Universe would have been ejected with an initial radial velocity, which then experienced deceleration due to gravitational adhesion of the matter. Then as the observable Universe continued its trajectory away from the origin and separation increased as a function of the distances squared, the GRSGM could have become dominant as the gravitational attraction between the observable matter decreased with increasing separation.
Even as the distance of the outward-bound red-shifting radiant energy increases, the tidal effect on the remaining matter is unchanged. This is because while the gravitational effect decreases by a factor of the distance squared (per unit area), the area inducing the effect increases by a factor of the distance squared. This suggests that outward velocities of matter in the early Universe was dominated by the initial velocities and decelerated by gravitation attraction of matter to matter. However, as the observable Universe expanded the matter-to-matter attraction decreased while the GRSGM attraction is relatively constant. Curiously, this also implies the continuing red shifting of the outward-bound energy.
Figure 4 shows the Universe as a matter-dominated system that has a gravity well at its origin and the potential energy increases with increasing distance from the well. Given an outwardly directed velocity, the matter in such a system would eventually result in a big-crunch as the matter is drawn back to into the gravity well.

Figure 4: Universe viewed as a matter-only gravitational well.
(Image by Wayne H. Coste, BS-EE, PE, IEEE-SM) Details DMCA
Figure 5 shows the effect of the entire elastic system including the radiated energy that created the gravity moat. In this case the matter, energy, and momentum at the origin is sufficiently mutually attractive that it creates a local gravity well. The ability of the mass to climb out of the well will depend on the relative amounts of outward kinetic energy versus the gravitational tug-of-war between mass attraction at the center vs. the GRSGM.

Figure 5: Universe viewed with the effect of all the energy, matter and momentum imparted by the Big Bang with a Gravitationally Red-shifted Gravity Moat.
(Image by Wayne H. Coste, BS-EE, PE, IEEE-SM) Details DMCA
Figure 6 hypothesizes initial velocities imparted to the matter in the observable Universe that may be sufficient to overcome their mutual gravitational attraction and then would become dominated by the larger gravity effects of the GRSGM.

Figure 6: Assuming an initial velocity, the gravitational attraction of the matter may be overtaken by the effect of the Gravitational Red-Shift Gravity Moat.
(Image by Wayne H. Coste, BS-EE, PE, IEEE-SM) Details DMCA
Figure 7 shows some of the matter transitioning from climbing out of a gravity well to accelerating toward the GRSGM.

Figure 7: As the separation between the matter increases, the matter-to-matter gravitational force weakens and the acceleration toward the Gravitational Red-Shift Gravity Moat dominates.
(Image by Wayne H. Coste, BS-EE, PE, IEEE-SM) Details DMCA
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