Collapsing General Relativity Onto a Microchip: Refractive Gauge Theory, Evicting the Dark Sector, and Verification of Metric-Refractive Equivalence via a Superconducting Quantum Interference Device (DC-SQUID)

We present a formal reconstruction of General Relativity as a localized dielectric phenomenon, established through a one-to-one tensor mapping termed the Metric-Refractive Equivalence. By expressing spacetime geometry in the exact Kerr–Schild susceptibility gauge ($g_{\mu\nu} = \eta_{\mu\nu} + \chi_{\mu\nu}$) and mapping the Einstein tensor $G_{\mu\nu} = -\frac{1}{2}\square\bar{\chi}_{\mu\nu}$ to its Compton saturation ceiling $\Lambda_Q \chi_{\mu\nu}$, we derive the material origin of gravitation and identify Newton's constant $G$ as the inverse stiffness of the localized vacuum substrate. Treating the vacuum as a polarizable $e^+e^-$ dielectric resolves the dark sector without unobserved particles: massive baryonic cores generate macroscopic refractive gradients mirroring dark matter halos and natively yielding flat rotation curves, while dark energy emerges as the temporal thermodynamic relaxation of this dielectric. This framework provides a mechanical origin for the Schwarzschild and Kerr metrics, gravitational lensing, and the Shapiro delay, while resolving the singularity problem via refractive saturation at the Schwinger critical field limit. To provide a tabletop proof-of-concept, we propose a horizontal DC-SQUID coupled to a 50 MeV electron beam. Using a chirp-switch protocol, we predict an 86 GHz vacuum susceptibility resonance yielding a macroscopic flux signal of $\Delta \Phi \approx 0.15 \Phi_0$, isolated from electromagnetic contamination. We mathematically demonstrate that the unperturbed Josephson plasma frequency of the array (86 GHz) strictly equals the frequency of an electron's non-geodesic gravitational potential energy at the Earth's surface. This Roy–Dyson Equivalence proves that the tunneling dynamics of the macroscopic circuit are environmentally coupled to the localized metric. By mapping higher-order geometric curvature terms directly to the bounded, non-linear anharmonicity of the Josephson potential, Refractive Gauge Theory physically truncates the infinite perturbative series of standard quantum gravitation, rendering the framework strictly renormalizable and predictive at the tabletop scale. Finally, we establish four novel empirical predictions, including zeptosecond metric hysteresis and a gravitational-optical Hall effect, that provide definitive, falsifiable discriminants between geometric curvature and dielectric refraction.

Impact Statement:
This manuscript presents a foundational theoretical framework that formally unifies General Relativity and Quantum Electrodynamics without the need for unobservable dark sector particles or higher-dimensional mathematics. By establishing the Metric-Refractive Equivalence, this work demonstrates that the curvature of spacetime is the macroscopic manifestation of vacuum polarization. Crucially, it translates cosmological-scale astrophysical anomalies into testable, localized tabletop quantum mechanics. We detail a highly actionable experimental architecture utilizing a macroscopic superconducting array (DC-SQUID) to directly measure gravitational metric polarization at the zeptojoule scale. The societal and economic impact of this framework is substantial: it provides a rigorous, high-precision, low-cost experimental alternative to multi-billion-dollar supercollider projects currently searching for unobserved dark matter particles. Furthermore, by formulating the constitutive equations for localized dispersive metric probing, this research establishes the operational basis for transformative technologies in superconducting metric refractometry, high-Q dispersive vacuum spectroscopy, and dispersive phase-velocity control. Finally, this manuscript serves as a primary validation of Hybrid Intelligence Mapping, demonstrating the capacity of human-AI recursive collaboration to accelerate breakthroughs in fundamental physics.