Emergent Mechanics, Quantum and un-Quantum

There is great interest in quantum mechanics as an "emergent" phenomenon. The program holds that non-obvious patterns and laws can emerge from complicated physical systems operating by more fundamental rules. We find a new approach where quantum mechanics itself should be viewed as an emergent information management tool not derived from physics nor depending on physics. The main accomplishment of quantum-style theory comes in expanding the notion of probability. We construct a quantum probability map from macroscopic information as "data" to quantum information. The map permits a hidden variable description for quantum states, and efficient use of the helpful tools of quantum mechanics in unlimited circumstances. We construct a dynamical quantum map from generalized Hamiltonian dynamics to quantum dynamics. We show that under wide circumstances Hamiltonian dynamics emerges from structureless dynamical systems by embedding them in an appropriate phase space. The uses of the quantum information management tools are illustrated by numerical experiments and practical applications.