This manuscript provides a mathematically operational formulation of gravity within the alpha-beta-phi framework. It establishes a clear separation of roles for the three fundamental symbols: Alpha (α): The deep sector, contributing via filtered effective potential. Phi (ϕ): The geometric channel, governing the coupling to curvature. Beta (β): The structural channel, organizing branches and mixing thresholds. Technical Contributions: Modified Field Equations: Explicit derivation of the modified Einstein and Friedmann systems from a single covariant visible action. Einstein Limit: Identification of the Einstein limit as an exact frozen branch of the theory. Phenomenology: Analysis of weak-field departures and the generation of finite-range Yukawa-type corrections through the geometric channel. Stability: Definition of the local mixing structure and normal-mode masses via the mixed visible Hessian.
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Douglas Hernandez
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Douglas Hernandez (Mon,) studied this question.
www.synapsesocial.com/papers/69e07e3b2f7e8953b7cbf405 — DOI: https://doi.org/10.5281/zenodo.19563545
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