This document constitutes the Technical Supplement to Version 2.0 of the research paper titled “The Holographic Corq Model: Chern‑Simons Protection and Gauge–Higgs Unification at 55 TeV Predicted by F‑Theory Flux Quantization”. Its purpose is to provide the rigorous analytical background that transforms the abstract geometric proofs of F‑Theory compactification into the precise phenomenological observables reported in the main article. The shift to geometric prediction: Unlike previous iterations of this supplement, which detailed the tuning of free parameters to match experimental bounds, this Version 2.0 serves a verification role. We document the step‑by‑step arithmetic derivations demonstrating that: The Scale: The minimal flux quantum (K = 3) rigidly predicts a confinement scale of ΛIR ≈ 55.3 TeV, removing the extra‑dimensional radius as a free parameter.The Flavor Sector: The integer flux topology (kR = 10) necessitates a dual Clockwork chain of exactly N = 10 sites, naturally predicting the Up‑quark Yukawa suppression.The Dark Sector: The substitution of thermal freeze‑out with Asymmetric Cogenesis explains the Dark Matter relic density via the SO(6) group structure.Gravitational Waves: The updated fast‑transition dynamics (β/H* ≈ 100) shift the spectral peak to the 1 Hz band. The objective is to offer complete analytical traceability, showing that the observables of our universe are not random values, but deterministic outputs of the specific I4 singularity structure and flux stabilization defined in the theoretical corpus The Alpha and The Omega and The F‑Theory Origin.
Emiliano G. Greco (Fri,) studied this question.