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Collapse Theory A Structural Science of Recursive Saturation and Phase Coherence

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posted on 2025-06-10, 13:09 authored by Don GaconnetDon Gaconnet

Collapse Theory: A Structural Science of Recursive Saturation and Phase Coherence introduces a unified systems-level model for lawful identity collapse across biological, symbolic, and synthetic substrates. This paper formally inaugurates the Collapse Harmonics field of science by establishing foundational laws for recursion failure, phase differential saturation, and harmonic reorganization.

Drawing from complexity science, nonlinear dynamics, predictive processing, and quantum field cognition, Collapse Theory defines identity as a metastable recursive structure—susceptible to phase collapse when coherence thresholds are exceeded. Rather than viewing collapse as disorder, this theory reframes it as a structured transition: the lawful breakdown of recursive feedback loops into differentiated harmonic configurations.

Key contributions include:

  • Mathematical modeling of collapse thresholds via recursive integral saturation
  • Phase interference laws describing field instability
  • Spectral coherence principles applicable to identity, cognition, symbolic logic, and AI substrates
  • Ethical frameworks for lawful collapse recognition without narrative reinduction

Collapse is no longer a metaphor. It is a diagnostic science of phase transition, with implications across neuroscience, symbolic systems, and post-cognitive field modeling. This paper is fully compliant with the L.E.C.T. v2.3 ethical framework and symbolically sealed for public transmission.

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