From a Bounded Substrate to Gauge-Like Prestructures: An Axiomatic Ontological Framework

This preprint presents an axiomatic ontological framework intended to study how pre-geometric, propagation-like, and gauge-like prestructures may arise from three base assumptions: a bounded substrate axiom, a dynamic-existence axiom, and a minimal-autonomy axiom. The framework defines a minimal self-maintaining update kernel, binary residue structure, composite residue ledgers, propagation-state families, Abelian connection-like structures, weak-like A1 response algebra, three-role A2 response skeleton, four-role scalar-background-like candidates, and residual Abelian direction candidates. The paper is explicitly framed as a prestructure construction rather than an empirical derivation of the Standard Model, QCD, Higgs mechanism, photons, quarks, or numerical physical constants.