The entropic heat death of the universe comes more from the notion that R=1 is implied by the conservation of energy and so while the universe might stop expanding at t=∞ the average energy of any particle at that time will be 0.
if R>1 same thing but faster.
The other option is that we all die and then the universe collapses... which is just as final for anything hanging around as heat death would be.
if R>1 same thing but faster.
The other option is that we all die and then the universe collapses... which is just as final for anything hanging around as heat death would be.