Geometric Unification of Gauge and Higgs Fields: An A5 Origin for the Electroweak Scale

This paper presents a formal derivation of the Higgs boson mass as an emergent propertyof a 5D warped geometry (AdS5). By identifying the Higgs field as the fifth component (A5)of a unified gauge field, we eliminate the hierarchy problem via 5D gauge invariance. Utilizingthe previously established warp factor kL = 38.44 and the bulk localization parametersfor the fermion sector, we calculate the Coleman-Weinberg effective potential through asummation of the Kaluza-Klein (KK) tower. Our results demonstrate that the Higgs massof 126.09 GeV is not a free parameter but a geometric requirement of the stabilized WilsonLine, matching experimental data with 99.21% accuracy. This work provides the final linkin the unification of the Standard Model forces within a singular geometric framework.