In what way does the big bang theory *require* a mathematical singularity?
By way of my very possibly flawed understanding, born of continual references of a "singularity" that would have once contained all the energy in the universe, now existing in various forms of matter and energy.
So maybe it wasn't a zero-dimensional point singularity, but rather something the "size" of a breadbox or a galaxy; does that matter to the notion of a "big bang"? It still requires an aggregation of "everything in the universe". Whatever level of compression is required to reduce everything to homogeneous primal energy, that would be what was required. Or no?
On further consideration, the idea of anything being "mathematical" at that point, probably wouldn't apply.