How Does God Play Dice? (Pre-)Determinism at the Planck Scale

Abstract

In deterministic theories, one can start from a set of ontological states to formulate the dynamical laws, but these may not be directly observable. Observable are only equivalence classes of states, and these will span a basis of 'beables', to be promoted to an orthonormal basis of Hilbert Space. After transforming this basis to a more conventional basis, a theory may result that is fundamentally quantum mechanical. It is conjectured that the quantum laws of the real world may be understood from exactly such a procedure.