User blog comment:Nayuta Ito/faketest/e0/@comment-30754445-20180804174000

Are these equalities real for UNOCF? Or is this some kind of joke?

I'm asking due to the word "faketest" in the title... and also because the outline you've given describes a hopelessly broken OCF system: In any reasonable collapsing system, ψ(Ω_2) would be much much much bigger than ψ(Ω^Ω^Ω^...) (which is just the BHO).

In fact, in the system you've just outlined, "ψ(Ω_x)" is about as large as what we usually mean by ψ(ψ_2(x)). So even "ψ(Ω_Ω)"  only gets you up to ψ(ψ_2(Ω)).

No idea what happens later (your outline doesn't really give us a hint), but one reasonable guess would be that your "ψ(I)" would correspond to the actual ψ(ψ_2(ψ_2(ψ_2(...)))) = ψ(Ω_2).