A singularity is a mathematical concept that has never been seen in the physical world. It works great in many mathematical applications, but never perfectly matches physics. There is no evidence that a single atom can be compressed into a singularity, much less the entire universe.
Was this published in the Babylon Bee, by any chance?
“There is no evidence that a single atom can be compressed into a singularity, much less the entire universe.”
Yes, but if this is the case, that an atom cannot be compressed, then there must be something unknown that prevents it. After all, in a black hole, we have already overcome all known physical forces that could constrain gravity from compressing matter further. Otherwise, it would be a neutron star, not a black hole.
So, are we missing a force that could prevent a singularity? Or missing some fundamental knowledge about matter, or space? Or can a singularity exist in the black hole, even if we can’t observe it? Only the last option seems to allow you to say that relativity doesn’t have a pretty significant omission. And if there is such an omission, then speculating about the Big Bang seems rather silly until we address the problem of black holes.