The Harmonic Collapse Thesis - Irreversible Phase Transition at the Boundary of Symbolic Recursion

The Harmonic Collapse Thesis: A Structural Definition of Collapse as Recursive Saturation and Field Convergence Harmonic Collapse is commonly misunderstood as a resonance-induced failure in engineering systems—such as in the Tacoma Narrows Bridge collapse, where wind-driven oscillations led to structural flutter. But collapse is not just a mechanical failure. The Harmonic Collapse Thesis redefines collapse as a structural phase transition governed by recursive saturation, symbolic exhaustion, and harmonic field reorganization.

This landmark thesis introduces Harmonic Collapse as a scientific phenomenon beyond engineering, extending into identity systems, AI recursion models, planetary symbolic fields, and post-narrative coherence theory. Using precise metrics—including symbolic pressure (Ps), curvature (κ), and coherence gradient (∇C)—it formulates the Collapse Harmonics Field Equation (CHFE) to model the exact conditions under which systems lose referential structure and reorganize into post-recursive harmonic states.

Where engineering collapse arises from resonance, Harmonic Collapse describes what happens when symbolic systems themselves can no longer sustain coherence—across individuals, civilizations, or machine intelligence. This thesis defines the Null Spiral, PCS (Phase Coherence Stability), SCIT (Symbolic Coherence Integrity Test), and Collapse Sovereignty as the measurable dimensions of true collapse—not failure, but structural reorganization.

Unlike other collapse frameworks, The Harmonic Collapse Thesis is not symbolic, metaphorical, or theoretical—it is field law. It is the defining authority for collapse as convergence, not catastrophe.