The point I’m trying to make is that a singularity is a mathematical concept, not a physical reality. There are many mathematical concepts that simply cannot exist in the physical world. There are functions that go from - infinity to + infinity in zero time. There are functions that have finite volume, but infinite surface area - you can fill them with paint, but you can’t paint them with the paint they contain. And there are singularities. In many instances, over the immense space of the universe, black holes can be treated as singularities. The mathematics of singularities will adequately describe their behavior. That doesn’t make them singularities.
The Big Bang theory treats the universe as a singularity at its start. The problem there is that the math still doesn’t work out. That’s why cosmic ‘inflation’ was invented. The math around the start of the Big Bang works out just fine, as long as the laws of physics are ignored during the first few hundred thousand years, or so. That’s not a ‘theory’, that’s a cop-out.
“There are many mathematical concepts that simply cannot exist in the physical world.”
I enjoy FR.
One of the most enjoyable parts is when folks make definitive statements about topics philosophers have been debating for thousands of years.
We have no clue what is “possible” and what is not in the physical world—until we understand all of it.
Homo sapiens is just beginning on that journey—arrogance is usually found in smart teenagers that are so proud of what they have learned that they can’t focus on what they do not know.