End Of Cosmology

I think you can have an end to the cosmos, but not an end to cosmology...

Do any of the following questions/ramblings make sense?

Did a big bang occur once that we know of, and did it happen in a void? What was the nature of the void? Is there a difference, on a large enough scale, in the sense of quantum mechanical coherence, between something infinitely empty and cold and something infinitely full and hot? Can it be said of a void, when the universe has expanded to the point where galaxy clusters are receding from each other at near-light speed, that observation of the void between them is no longer physically possible, and that the void therefore can be in a coherent superposition of two possible states, either empty/cold or full/hot?

Those two conditions are equivalent in terms of isotropy and homogeneity, and temperature is a meaningless quantity other than it's infinite one way or the other or both. Resolution of the superposition of states occurs across and through the entire void, faster than light, which manifests as an inflationary epoch, and a hot dense universe condenses (precipitates into spacetime?) with a 'bang', perhaps seeded or imprinted with any galactic ejecta left in the void as the accelerated expansion of the previous universe hastened in latter stages...

I'm sure I read somewhere (when the rules of quantum mechanics were being formulated) that one of the physicists remarked something along the lines that if there were no rules or fundamental principles prohibiting the possibility of something then it can be expected to occur with some probability. So there's absolutely nothing in the empty/cold void to prohibit the possibility of the dense/hot state from occurring. The only rules governing either possibility are the abstract attributes of mathematics, e.g., just the notion of symmetry necessarily implies an equals sign and equivalent quantities to either side of it, and regardless of how it's expressed by us or understood to be, the abstract nature of maths is a foundation for everything that physically can and cannot happen, and this notion of maths, resolving into fundamental principles and the laws of physics, is more real and substantive than any void, and indeed the nature of it doesn't change from one 'bang' to the next...