Not really. The best models that we have to explain measurable physical phenomenon are wave equations from quantum mechanics that describe probably distributions. There have been proposals for nearly a century that a deterministic model underlies this, but they have to contend with observed phenomenon and inconveniences like Bell's Theorem that suggest that our universe just isn't deterministic.
That said, we don't have a unified theory of the universe. General relativity, the dark matter question, and quantum mechanics have not been unified into any mathematical theory. All of those theories are pretty weird, mathematically. And we have no efficient way to simulate on classical computers the models that we do have.
We don't live in a billiard ball universe. It's a CS fantasy that evaporates as soon as you start doing experiments on matter and energy in the actual universe we are in.
That said, we don't have a unified theory of the universe. General relativity, the dark matter question, and quantum mechanics have not been unified into any mathematical theory. All of those theories are pretty weird, mathematically. And we have no efficient way to simulate on classical computers the models that we do have.
We don't live in a billiard ball universe. It's a CS fantasy that evaporates as soon as you start doing experiments on matter and energy in the actual universe we are in.