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The Geometric-Refractive Unification: A Definitive Synthesis of the Koide Lepton Anomaly, the 95.4~GeV Dilaton Resonance, and Advanced Metric Engineering

Author:

Hofseth, Jesse D.

Category:

Research Papers

Sub-Category:

Gravity

Language:

English

Date Published:

March 28, 2026

File:

/Research Papers-Gravity/Download/10502

Downloads:

Keywords:

Koide Formula, Dilaton, 95 GeV Resonance, Geometric Unity, Refractive Vacuum Gravity, Effective Field Theory, Disformal Gravity, Trace Anomaly, Metric Engineering, Running Vacuum Model, Shiab Operator, Chimeric Bundle, Deformation Complex, MADA

Abstract:

This report presents the definitive synthesis of Geometric Unity (GU) and Refractive Vacuum Gravity (RVG), demonstrating that the Koide lepton-mass deviation from its exact 2/3 geometric ideal, the anomalous 95.4 GeV diphoton and bb̄ excess at the LHC, and the Running Vacuum Model (RVM) boundary conditions are three manifestations of a single mechanism: spontaneous conformal symmetry breaking by the dilaton scalar field within a dynamically evolving cosmological vacuum. By downgrading RVG to a low-energy EFT of GU and upgrading GU to accept vacuum sourcing via the quantum Trace Anomaly and a complexified Shiab operator, a complete metric engineering paradigm is established. The synthesis formalizes the chimeric bundle, the Zorro construction, the explicit Shiab operator via the inhomogeneous gauge group G = H ⋉ N and augmented torsion, and the Swimmer deformation complex (Υω = Sω − Tω = 0). The Nguyen–Polya objections are resolved via complexification from Cl₁₄(ℝ) to Cl₁₄(ℂ) with gauge group migration to U(64,64). The Metric Stiffness Recovery Rate is derived from the RVM, and the Master Equation of Levitation from the Helmholtz force density in a graded vacuum. Engineering architectures—the ADPG and Scalar-Hydraulic Drive—are specified alongside material constraints distinguishing Hiperco-50 from Minnealloy (α'-Fe₈(NC)) in the recursive MADA core, with formalized Vacuum Liquefaction and Burst Mode states.