Why ours is probably not a cyclic universe

There are several reasons why ours may not be a cyclic universe.

Primarily, the fact that the amount of matter in it is not sufficient to halt its expansion, rather the universe appears to be accelerating due to dark energy.

This almost categorically rules out the Big Crunch hypothesis.

Another reason is thermodynamics.

For our universe to be part of a series of cyclic universes, a transition from final thermal equilibrium to an ordered state with low entropy must occur spontaneously.

Perhaps this last point could be justified by the fact that with infinite time available, even the unlikely condition in which all the particles of an equilibrium universe converge towards a new Big Bang becomes possible.