The Holographic Corq Model: Chern-Simons Protection and Gauge-Higgs Unification at 55 TeV

We present Version 2.0 of the Holographic Corq Model, a unified framework addressing the Electroweak Hierarchy and Flavor puzzles via the Holographic Duality principle. Unlike previous iterations that phenomenologically adjusted the confinement scale, this work incorporates fundamental results from earlier developments, demonstrating that the model constitutes an infrared realization of an F-theory compactification, with explicit arithmetic derivations provided in the accompanying technical supplement. We show that minimal flux quantization (K = 3, M = 1) on the deformed conifold geometry unequivocally predicts a confinement scale of ΛIR ≈ 55.3 TeV and an exact walking parameter ε ≈ 0.032. To reconcile this multi‑TeV scale with the observed lightness of quarks, we implement a bulk U(1)A gauge symmetry whose anomalies are canceled by a 5D Chern–Simons term, effectively shielding the chiral protection mechanism. The Higgs boson emerges as a pseudo‑Nambu–Goldstone boson (pNGB) from the spontaneous breaking of SO(6) → SO(5), predicting fermionic resonances (“Top Partners”) with a geometric mass of MT′ ≈ 2.75 TeV, naturally evading current collider limits while remaining within the reach of the HL‑LHC. Finally, the model provides a natural scalar Dark Matter candidate (η) and a stochastic gravitational‑wave signal with a confinement‑transition peak in the 0.1–1 Hz band (DECIGO), offering direct experimental falsifiability.