Specification of the Q Hypothesis: An Alternative Mathematical Foundation for Physics

Mathematical tools related to coherence theory and classical-quantum equivalence, due to Wigner and Glauber, are essential to modern, practical and empirical understanding of electromagnetics in areas like quantum optics and nanoelectronics. This paper specifies how an extension of these same tools (especially Glauber's "Q" mapping) can be applied to strong nuclear forces as well, and provides a "bottom-up" approach to axiomatic unification of physics, grounded in empirical reality (dice included). The Q hypothesis also has implications for quantum measurement and quantum information technology. The basic hypothesis is that density matrices across all of quantum field theory can be "decoded" or mapped usefully into probability distributions for "classical" fields, by using a generalization of Glauber's Q mapping, which does the same for electromagnetics.