Spectral Higgs Portal: Falsifiable TeV Predictions from Twistor Geometry

A spectral-action–derived Higgs portal predicts a heavy scalar with fixed portal strength and adistinctive collider signature. The portal coupling λρH = α1κspec / 16π2 Λref emerges from the heat-kernel expansion of the spectral action, with α1 ≃ 4.3 × 10−2 numericallydominated by the top sector. Unlike generic singlet extensions, the portal strength is not a freeparameter but is determined by spectral coefficients and matching corrections. Combining Higgsprecision constraints (|∆κ| < 2%) with spectral consistency yields a narrow and predictive masswindow, mρ ∈ [2.0, 3.5]TeV. The resulting scalar exhibits vector-boson-fusion–dominated production, RVBF/ggF ∼ 20–30, inverting the hierarchy characteristic of generic singlet models. We predictσ ×BR(ρ → WW) ≃ 1.0–1.5fb at the HL-LHC, testable with 3ab−1. Non-observation of such aVBF-dominated diboson resonance in this mass range would exclude the minimal spectral-actionrealization at 95% CL.