05-30-2016, 06:13 PM

But, you know the mathematical structure is certainly different in the two theories. In quantum mechanics, let H be a complex Hilbert space of countable infinite dimension. The state of a quantum mechanical system is a unit vector in of H up to scalar multiples. The observables are given by self-adjoint operators A on H. The expectation value of an observable A for a system in a state phi is given by the inner product (phi, Aphi). This is how quantum mechanics works, but BM is "not" this formulation. One can claim it's observationally equivalent, fine. But, it's not mathematically equivalent, and I'd really enjoy watching someone quiet Lubos by performing the P = 1/16 calculation from the framework of BM.