The Contextual Signal A Unified Field Theory of Autopoietic Resonance and Computational Incompleteness

This deposit contains the formalized manuscript for The Contextual Signal, a computationally testable field-theoretic proposal in which “matter,” “gravity,” and “time” are treated as emergent behaviors of a single complex carrier field Ψ(x,t) coupled to a context-dependent density or memory layer ρ(x,t). The framework replaces particle-first ontology with a signal-processing ontology: stable “objects” are modeled as autopoietic resonant nodes (persistent standing-wave regimes), while “geometry” appears operationally through refractive propagation in a density-modulated effective metric.

The theory is specified by a canonical unified Lagrangian with four primitive operators: (I) propagation in an emergent refractive metric, (II) autopoietic resonance and saturation, (III) a logarithmic Gödelian incompleteness driver that acts as an expansive pressure (a computational arrow of time), and (IV) a chiral coupling that converts radial gradients into transverse currents (supporting bounded orbital-like motion). The manuscript defines observables, measurement protocols, and a gate-based validation program intended to keep claims auditable and falsifiable.