Defining Kappa: A Physical Information Framework: Physics as Epistemic Cartography of a Scale-Invariant Information Space

Scientific progress is traditionally validated by empirical prediction (Generative or G-type theories). A substantial portion of contemporary theoretical work, however, focuses on Structural Unification (S-type) and Epistemic Scaffolding (E-type) contributions, which lack direct, immediate falsifiability. This paper critically examines the G/S/E framework to resolve the validation metric problem for non-generative work. A First Principles analysis defines the distinct functions and epistemic risks of each contribution type, arguing that S/E-type work is essential for methodological progress and paradigm maturation. Three quantitative extensions are proposed: formalizing theoretical parsimony using an Algorithmic Information Theory metric for Unification Gain (), modeling scientific evolution as a dynamical system with a Dominance Ratio () order parameter, and establishing future theoretical constraints via Meta-No-Go Theorems (e.g., the Holographic Bound). The ultimate measure of S/E-type success rests not on internal elegance but on its indirect heuristic fertility—its demonstrated capacity to mobilize and enable subsequent G-type discovery, constructing the conceptual foundation for the next empirical cycle.