I have some ideas I’d like to share with you. I think I have a concept you may be interested in; if you haven't already thought of it. It just adds to your current model.
If absolute zero is one degree of freedom whereby the maximum linear velocity is maintained, and before the initial collision, the fundamental substance was at this one degree of freedom whereby it had total uniform linear motion; thus it was at its most condensed state perpendicular to its direction of travel (universal direction). We could view the direction of travel as the arrow of time. Being as any random motion causes the fundamental substance to spread perpendicular to its universal direction of travel as it loses linear velocity; after the collision the aether has been spreading ever since; thus the more it spreads the less forward linear velocity of the whole proportionally in the universal direction of travel.
Therefore, if we view the linear universal direction of the whole as being perpendicular to the center of galaxies, the so called black hole could just be the point nearest absolute zero; whereby random motion was continually being transferred back to uniform linear motion and stretching that part of the aether more linearly forward towards the universal direction due to its increased linear velocity. The conical shape produced would funnel back out to the outskirts of the galaxy and the stars and planets would be formed and viewed as stages of the process of random motions continually becoming uniform. As they increase towards full linear velocity (one degree of freedom) they too are continually out linearly accelerating the more randomly moving surrounding space as they swirl around the axis of the black hole.
This would agree that black holes are at the center of galaxies; light couldn’t escape because this is the point where all motion becomes linearly uniform; and all of the galactic bodies were swirls of fundamental substance forming and becoming more and more uniform through the process of vibration and angular momentum until they got to the appropriate distance and fully converted to uniform linear absolute motion in the universal direction. An entire galaxy would look like a cone as it narrowed towards the center of the black hole.
We’ve thus taken the formation of galaxies and viewed them as the process observed as random chaotic motion converts back to full uniform absolute motion and velocity. This would incorporate black holes and possibly explain their predicted phenomenon, tell us why they point the direction they do; tell us the direction of travel of the universal aether; and it would provide us with a flow chart to work from. It would also give us the shape of space within a galaxy and the temperature scale would be viewed as degrees of freedom from the absolute point within the black hole all the way out to the unstructured randomly moving surrounding space; not to mention explaining planetary orbits and the swirling of galaxies. The proximities of galactic bodies should then have to fall out somewhere along the temperature/motion scale formed, depending on the current state of the fundamental motion that made them up.
The new absolute motion direction formed from different galaxies could also be slightly different than the original universal direction (meaning different galaxies could be pointing slightly different directions/angles from each other) due to all areas of uniform motion being reformed from completely randomized motion. Perhaps, it wouldn't be until the recondensing of the aether got to a certain stage that brought all of those varying directions back to one universal direction; thus acheiving full absolute zero and linear velocity once again. Perhaps, this would suggest a more saddle shaped aether at present.
My intuition tells me that, from a randomized state of expansion (our current condition), a transformation to one degree uniform linear motion with absolute velocity, perhaps by means of a black hole as stated above, would produce a three dimensional Planck diameter leading edge in the universal direction of travel, a singularity of sorts. Thus, it causes me to imagine the initial state of the fundamental substance, before the collision, to have been tubular with a three dimensional Planck diameter and length proportional to the total amount of fundamental substance. If viewed from the side as if looking perpendicular to the arrow of time, future motions being in front, present being the current void occupied and past being the void just traveled through, the shape of the fundamental substance would resemble a symmetrical three dimensional solid rod with much more length than width; but if you were looking head on, the view would only resemble a three dimensional Planck diameter dot; perhaps a singularity.
After the event which slowed the leading edge down, causing random chaotic motions throughout, the length has been steadily shortening as the diameter has been steadily increasing which would be the universal expansion; causing apparent "space" to be expanding from all points at the same time; and if viewed head on this would possibly resemble the big bang model from a singularity, but all of the fundamental substance was always there, it was just linearly shaped with a Planck diameter, and all of the potential for expansion was merely hidden traveling behind the leading edge. We have no means of detecting the contributing volumes of aether causing the expansion, because it is in a state of absolute zero (one degree of freedom) linear velocity as it steadily collides into the now slowed and expanding leading edge. This would be equivalent to trying to detect the absolute linearly moving aether going back out of the black holes. Now, after the initial event, the aether is forming a puddle as if it were a continuous stream of water having been poured from a pitcher and hitting the ground to form a pool.
How would this reflect your interpretation of the math?