We present a holistic description of physical systems and how they relate to observations. The “theory” is established (geometrically) as a “classical random field theory.” The basic system variables are related to Lie group generators: the conjugate variables define observer parameters. The dichotomy between system and observer leads to acommunication channel relationship. The distortion measure on the channel distinguishes “classical” from “quantum” theories. The experiment is defined in terms that accommodate precision and unreliability. Information theory methods permit stochastic inference (this (...) includes “inverse scattering”) and prediction based on realistic data. (shrink)