Could an entire universe exist inside a singularity

I ask this because I saw on tv where physics as we know them break down in a singularity. It time and space do no not react as we are accustomed to, could the area be infinite inside the singularity?

Nobody understands the physics inside a black hole so who knows at the end of the day. Physics dictate that the area inside a singularity is 0 because that's the space it occupies. However it could in theory eventually contain an infinite amount of energy within that point. As for the Mass of a black hole singularity, it is quantifiably equal to the size of the collapsing star that created it, plus the mass of any bodies that have fallen into it.

I suspect that nothing as exciting as a baby universe is going on inside a black hole, but then again I couldn't rule it out. The big question that needs answering is do black holes evaporate over time? For now we're not sure, but there's maths to indicate that they do. If they do decay eventually to nothing (in a process called Hawking Radiation), then the chances of them containing another universe are pretty much zip.

You first need to prove that there is such a thing as a singularity. To date, the concept is entirely hypothetical, and in all probability will either remain hypothetical, or be disproven.

The "singularity" is essentially an artifact of incomplete mathematics. As you say, physics break down as we approach the singularity. That implies that if we knew more about the physics of highly compressed matter, we would discover that singularities don't happen. Or if singularities do exist, then by definition we can never discover what happens in them.

Cheers!