Enigman said:
An off-topic and possibly naive question:
Doesn't the big bounce model violate the 2nd law of thermodynamics? Or does it not matter because the 2nd is largely a statistical law?
Several explanations have been given, one I like is based partly on the observation that you cannot state the 2nd Law without the distinction of macro and micro degrees of freedom and what defines a macroscopic degree of freedom is what affects a
second system. The macro degrees of freedom are what appear in the interaction Lagrangian.
They are what matter to the second system. And BTW the primitive ideas of order and disorder also depend on what matters to the second system, with which the first is interacting.
There was some discussion of that in Rovelli's recent FQXi essay contest entry Relative Information at the Foundation of Physics, which as i recall got second prize. It's a wide audience essay, just 3 pages.
When one focuses on the Loop cosmology big bounce another issue that comes to the fore is the definition of
entropy of geometry i.e. entropy of the gravitational field. To date this has not been satisfactorily defined. It would play a huge role in the total entropy, the matter part would be comparatively small. How would one define the entropy of geometry at the bounce when due to quantum effects gravity is repellent?
As long as gravity is universally attractive the gravitational field tends to become CLUMPY. Density and curvature tends to accumulate in knots and clusters. So a clumpy geometry is the HIGH ENTROPY one and smooth even geometry is LOW.
But as soon as gravity becomes repellent then smooth uniform geometry is HIGH entropy, because that is the direction in which things evolve.
1. Can you imagine a partition of the system which endures thru the bounce so that interaction
d.o.f. and hence entropy can be defined at all?
2. If entropy of any sort can be defined consistently thru the bounce, then what about entropy of the grav field, the geometry itself IOW? There is currently no generally accepted definition.
3. If the entropy of the geometry of the universe can be acceptably defined in a regime in which gravity is consistently attractive, then what happens at high density when according to Loop it turns temporarily repellent due to quantum corrections? This would seem to reverse the definition of entropy--turn it around 180 degrees.
So a naive interpretation of 2nd Law does indeed encounter difficulties.

It's a good question to be asking Enigman! I think some interesting developments will come out of people taking a closer look at quantum gravity and thermodynamics.
Check out the fourth quarter MIP Poll! there's some new research in the area of QG and thermo.
https://www.physicsforums.com/showthread.php?t=730750