Interesting hypothesis. When we say the universe before the big bang is the reflection of the universe right now, does it mean that there were humans just like us, doing the exact same thing made up of antimatter? and what about entropy? from our point of view, the entropy decreases?
Would the detection of right-handed neutrinos be enough to validate the hypothesis? These neutrinos will be sad on August 13.
The anti-universe would actually be a CPT reflection of our universe. This means that the density of particles of species X with momentum p and helicity h at time t after the bang equals the density of the corresponding anti-particle species with momentum p and helicity −h at time −t before the bang.
I would say in increase with time being more and more negative. No changes here.