Unified Empirical Baselines: Deriving Testable Micro-Arcsecond, Giga-Electronvolt, and Primordial Phase Proof Targets Natively Under the Dewhirst Screening Operator

Abstract

This monograph establishes the empirical validation framework (Document 36) for the continuous scalar-tensor formulation of the Dewhirst Horizon Relation by deriving three distinct, testable numerical targets across astronomical, particle, and cosmological scales. By linking abstract field equations directly to measurable physical phenomena, the paper provides a clear roadmap for verifying the theory against mainstream models. First, at the astronomical scale, the C² smooth boundary of the screened gravity potential around Sagittarius A* (phi -> 0) predicts a precise orbital precession deviation of -7.2 micro-arcseconds for the star S2 at its closest approach. Second, at the subatomic scale, integrating the sign-flipped logarithmic anti-screening operator from Document 33 from the Planck length out to the proton boundary yields an absolute hadronic string-snapping threshold of exactly 6.355 GeV. Third, at the cosmological scale, the imaginary phase transition from Document 31 dictates that a universe collapsing to absolute Planck density (rho -> rho_P) undergoes a structural sign flip, experiencing a smooth quantum bounce that embeds a precise pi-radian (180-degree) phase shift in the primordial cosmic microwave background radiation loops. These integrated derivations provide blind, testable criteria to distinguish the non-singular Planck Core framework from standard point-singularity metrics, formalising the empirical baseline of the master independent library.