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Can Fracto-Resonance and the Scalar Shadow Be Unified? From resonance fragmentation to vibratory memory and the propagation of scalar traces V3.A16 — Article 16 of the series Derived from the M2FA Edifice

Year: 2026
Type: preprint
Abstract: Can fracto-resonance and the scalar shadow be unified? Resonance, once emitted, is rarely transmitted intact. It fragments through agents, leaves traces, and persists as memory after the source has disappeared. Two concepts of Seal VI capture these phenomena: fracto-resonance (nct VI.II) describes the fragmentation of a total resonance into selfsimilar patterns, and the scalar shadow (nct VI.IV) describes the trace left by a resonance after its passage. This article proposes that the two concepts are not independent: they are two descriptions of a single underlying process — the transmission of resonance through a medium. Fracto-resonance describes the forward dynamics (fragmentation, mediation, echo); the scalar shadow describes the backward dynamics (traces, memory, propagation of nowaves). Their unification is achieved through the vibratory memory Msystem = ∫︁ 0 t Γinferred(τ ) dτ . The unification is structural, not algebraic: it does not claim that the two concepts are the same object; it claims that they describe a single underlying process. The article formalises this unification, provides a multi domain protocol (physics, biology, sociology, behavioural experiments), and tests three predictions with a falsifiability test using two independent measures of Γinferred. The claimed level is 3σ (strong candidate), with 4σ (discovery) as an extension. All numerical values presented are internal to the M2FA framework; external empirical confrontation remains open. Keywords: fracto-resonance; scalar shadow; nowaves; vibratory memory; transmission spectrum; mediation; fractality; structural unification; M2FA.
DOI: 10.5281/zenodo.23269306
Open Access status: green
OpenAlex ID: W7221104231
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