Question... Does the numerator on the right hand side have anything to do with Avogadro's number?
In the extremely distant future, if the expanding universe theory is correct,
Personally, I really hope heat death is not the ultimate fate of the universe. It would kind of make this whole enterprise a rather large waste of time.
The same thought crossed my mind, but Avogadro's number is dimensionless, so I think it's just a coincidence.
"Personally, I really hope heat death is not the ultimate fate of the universe. It would kind of make this whole enterprise a rather large waste of time."
I suppose it is what it is. On any human timescale it's rather meaningless really.
On the other hand, if the multiverse exists as posited in recent physics, I suspect it encompasses every possibility. Not only of every possible universe based on our set of physical laws, such as a universe for every grain of sand on the beach being a different color (or shape, or size, or composition) but every other possibility you can imagine, including oscillating universes and steady-state universes. Then, there would be the universes that don't follow our exact set of physical laws, for every permutation you can imagine (F=ma/3, F=ma/pi, d=(1/2)vt, gravity being proportional to the cube of distance etc.).
Just imagine, in a high-order infinite number of those universes, Barack 0bama wasn't elected President in 2008! :-)
I believe that concept of universes would entail the highest possible order of mathematical infinity, Aleph Infinity. I find the concept satisfying in that it would fulfill every possible concept of physical symmetry, something our particular universe doesn't do, for instance in the department of matter/antimatter quantitative asymmetry.
It sort of brings a new perspective of omniscience and omnipotence, eh? :-)