This record presents Version 2. 3 of the Wronskian Unification framework within the Geometric Relay Programme. The document proposes that the Wronskian W (u, v) = u v̇ − v u̇ is the canonical geometric observable of the dual relay across multiple physical regimes. It is derived from six minimal criteria — locality, first-order derivatives, bilinearity, vanishing under proportional co-evolution, antisymmetry, and sensitivity to relative dephasing — and is shown to emerge in six sectors: dissociative clusters, electroweak QRT, galactic GRT, cosmological V3b, Schwarzschild black holes, and sub-solar compact mergers. A central result of the document is that the MOND interpolation function νₛimple (x) = 1/2 + √ (1/4 + 1/x) appears as the exact stable fixed point of the dual-relay equation. In this reading, MOND is not replaced, but absorbed as the stationary regime of the relay when chiral memory vanishes. The document also introduces an integrated Wronskian correction to MOND through the cumulative baryonic desynchronization variable Φ (r) = ln (V★²/Vgas²). On the SPARC sample, the frozen Φ-MOND model is reported to outperform standard MOND on 64% of 174 galaxies, with a bootstrap 95% confidence interval of 57%, 71% and validation by 5-fold cross-validation. The natural domain of validity is identified mainly in low-mass galaxies, with massive systems acting as predicted null cases. The framework further discusses a phenomenological relation between the Milgrom constant a₀ and H₀ through the V3b cascade chain, as well as a proposed logarithmic phase correction for sub-solar compact mergers. The document explicitly separates robust mathematical results, structurally motivated derivations, and conjectural or open components. The status of this record is theoretical and exploratory. It is presented as a falsifiable research contribution within the Geometric Relay Programme, not as an established or externally validated theory.
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Olivier Lane-larquey
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Olivier Lane-larquey (Sat,) studied this question.
www.synapsesocial.com/papers/69f837933ed186a739981b24 — DOI: https://doi.org/10.5281/zenodo.19987964
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