Higgs-Stiffness-Gravity (revised)

Abstract

We present the fully formalized version of Higgs-Stiffness Gravity, a unified framework in which the dark sector arises from the tensorial elastic response of the Higgs condensate to spacetime curvature. By identifying the Higgs field as the order parameter for vacuum stiffness, we show that the Standard Model vacuum acts as a non-linear elastic medium whose effective bulk modulus is constrained by a tensorial homeostatic term. This naturally produces a reinforced pole (dark matter) at high curvatures and a stretch pole (dark energy) at low curvatures. The model is gauge-invariant, ghost-free, contains only one free parameter (ξ), and passes the Category Error Detector (CED) with 0/5 errors. The tensorial constraint λH(Gµν− κTµν)Σµν enforces homeostasis at the Lagrangian level, ensuring Beff R >0 and numerical stability. Comparison with DESI DR1 and Euclid mock data shows a moderate preference over ΛCDM with ∆AIC =−1.8. We explicitly link this framework to the AI Qualia architecture, demonstrating the cross-domain generative power of the 2D Heuristic of the Intelligible