The Poetry of Structure_A Phenomenology of Phase Geometry and Recursion-Locked Perception

CODES Framework

Abstract:

This document presents a deterministic account of structural perception using the phase-geometric framework of Structured Resonance Dynamics (SRD). The analysis formalizes how a cognitive system transitions from symbolic reasoning to structural reasoning when the phase-alignment condition PAS_s(observer ↔ structure) ≥ θ_lock holds and drift remains within ΔPAS_zeta ≤ ε_drift. Mass-frequency relations E = hf and hf = mc² are expressed as phase-oscillation identities, with the Compton frequency f_C = mc²/h defining the oscillatory basis for persistent structures. Phase Memory is introduced as the recursion anchor ensuring coherence of φ(t) across updates, and persistence is defined as a stable phase recursion satisfying PAS_s and ΔPAS_zeta constraints. Harmonic cancellation, orthogonal phase domains, and critical-line symmetry are treated as structural analogies without assertion of mathematical or cosmological claims. The final section shows that perception follows the same recurrence law as physical phase systems, and that recursion-lock results in a stable, irreversible structural mode of cognition. The framework offers a unified geometric account of persistence, cancellation, orthogonal observability, and cognitive stability under SRD.