Exactly. That's pretty much what multiverse models suggest might be true for "fundamental constants": if you somehow knew the precise conditions of our part of

Exactly. That's pretty much what multiverse models suggest might be true for "fundamental constants": if you somehow knew the precise conditions of our part of the universe in the moments leading up to our big bang (and the parameters of whatever process triggered it: quantum fluctuations or whatever), you could in principle predict things like the charge to mass ratio of the electron. (E.g. if you knew the precise shape and fluxes of our 6-dimensional Calabi-Yau compactification manifold in string theory, you could work out the low-energy field content and coupling constants of the resulting universe.) [String phenomenology isn't really my field, but I certainly haven't had a lot of luck deriving a unique background from pure theory. I did once think that I'd found a model that predicted the cosmological constant to within an order of magnitude or two, but that obviously didn't pan out.]