At the Universe's end phase, there will be less and less interacting particles, there will be a resulting low-entropic signature. The early Universe's low entropy will almost certainly be of similar make up, a closed system with just a few "large" symetric particles, has the same entropy value as a closed system with a similar few micro particles?
A box containing 10 super sized particles, and a box contianing 10 fractional particles can be in entropic equilibrium, but can also evolve to opposite entropic values?. if both boxes evolve at different rates large particles slowly, and the micro particles fast, then there will, over a great timscale, be a time where both boxes have the same entropy value, there is one and only one "instant" of "in-phase" identity?..if the box with fractional particles has been in existence long enough, then it will settle down to a low interacting phase, with very few collisions, this can match the box of super sized particles, which has a slower evolving history factor.
The cyclic nature of the Universe may have two opposite phase state zones, the early state and the late state, both may have a similar low number of particles, thus have identical entropy values.
If one could take a snapshot of the early "time" instants of this Universe 13 billion yrs ago, say a fraction of a nano second into the birth of the Universe, and take a similar snapshot, say a fraction of a femto second before the Universe's end, then it is my guess these instants are identical, one cannot distinguish where one ends and the other begins, they have identical "in-phase" or rollover values?
If one could take a snapshot large number Universe cycles, and put it onto a photographic plate, one would get a spectrum of pulse's, bright lines, fading to dark blotches, then brightening, a cyclic Universe is really a pulsing Universe?