Okay kiddo, so let's talk about the Penrose-Hawking Singularity Theorems.
Picture our Universe like a big piece of fabric called spacetime. Everything, including you and me, move around on this fabric. Now, scientists like Sir Roger Penrose and Stephen Hawking did some thinking and they figured out that sometimes due to the way things move around on this fabric, it can get super stretched out and twisted up in ways we can't even imagine.
This stretching and twisting creates a place called a singularity. Imagine a big hole in the fabric where the rules we know about how things move and behave don't apply anymore. It's like a place where the rules are broken.
But, these scientists also figured out some theorems (which are like big ideas that have been proven to be true) that help us understand when and where these singularities might happen. These theorems help us be better prepared for what will happen in these places where the rules don't apply anymore.
So, long story short, the Penrose-Hawking Singularity Theorems are all about how our Universe can get stretched and twisted in crazy ways that create big, rule-breaking holes called singularities, and how we can be better prepared for what happens there.