subject

A change in the entropy of a system is the infinitesimal transfer of heat to a closed system driving a reversible process, divided by the equilibrium temperature of the system.

if thats true and we could really reach an equal temperature throughout the cosmos, then why is the second law of thermodynamics a paradox to this? the universe cant be proven to ever possibly reach an equal temperature. we cannot prove that the universe has a barrier because it would have to go past the boundaries of redshift z=1.4 and would therefore be unobservable.. just thinkin outloud here lol what do you think?

I think that the limit of the universe is 2π radians. When the angle removed from the initial circle equals 2π, the corresponding angle removed from the smaller circle would be ∞. So right now is 0 π Radians, which is the same as 2π radians, so, we are already at ∞.