Just quickly, heat is the transfer of temperature, this implies from point a to point b. Next, I doubt that the universe is infinite, my stop start is not that simple, it is total annihilation to zero, zilch, nada, then rebirth ala Big Bang, this is very different than your inference of it stop/starting.
Back to dinner, I could'nt let those two slide past, I will review your effort and make fuller comment later
