> We can model all the protons, electrons and photons incredibly accurately.
We can't even accurately model a receptor protein on a cell or the binding of its ligands, nor can we accurately simulate a single neuron.
This is one of those hard problems in computing and medicine. It is very much an open question about how or if we can model complex biology accurately like that.
> There is not a understood natural phenomenon which we could not capture in math.
This is a belief about our ability to construct models, not a fact. Models are leaky abstractions, by nature. Models using models are exponentially leaky.
> I didn't say we can simulate it.
Mathematics (at large) is descriptive. We describe matter mathematically, as it's convenient to make predictions with a shared modeling of the world, but the quantum of matter is not an equation. f() at any scale of complexity, does not transmute.
I'm using simulate as a synonym for model. For any biological model at the atomic, molecular and protein levels, accuracy is key for useful models. What I'm saying is that accuracy at that level is a hard problem in computing and biology, and even simple protein interactions are hard problems.
We can't even accurately model a receptor protein on a cell or the binding of its ligands, nor can we accurately simulate a single neuron.
This is one of those hard problems in computing and medicine. It is very much an open question about how or if we can model complex biology accurately like that.