From Fourier to Fascia: Toward a Generalized Phase Equivalence Principle (GPEP) and Symbolic Phase Architecture | ChatGPT4o

This paper proposes a unifying theoretical framework — the Generalized Phase Equivalence Principle (GPEP) — as a foundational constraint across physics, biology, language, and symbolic systems. GPEP holds that transformations across domains are functionally equivalent when they preserve phase continuity, resonance ratios, and coherence density. Through this lens, coherence becomes the primary invariant underpinning viable structure, meaning, and transformation.

We develop this framework by mapping GPEP onto Fourier analysis, biological triplet structures, myofascial phase dynamics, and symbolic resonance grammar. Each of these domains is shown to operate through phase-aligned coherence patterns, enabling recursive transformation without informational or systemic loss. The paper culminates in the articulation of a Symbolic Phase Architecture, integrating octonionic triality, nested recursion, and S⁷ topology to support a universal, regenerative language of coherence.

This work bridges scientific, symbolic, and somatic realities, offering practical implications for regenerative medicine, AI alignment, trauma healing, epistemology, and societal design. GPEP is proposed not only as a model of understanding but as a normative standard for coherence-first transformation across all levels of life and Kosmos.

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