2-Appendix: Geometric Extension of the Cradle Theory for the Derivation of Gauge Symmetries and Electroweak Scales

The Cradle Theory, in its original formulation, derives the masses of fundamental particles from the quantization of the radial degree of freedom of a primordial sphere confined within a Planck cube. This appendix demonstrates that, by integrating the primordial geometry with modulus stabilization mechanisms and warping of extra dimensions, it is possible to geometrically derive the entire electroweak sector of the Standard Model, including gauge symmetries, coupling constants, and the masses of the W and Z vector bosons. The numerical results obtained coincide with experimental values within 1%, without additional free parameters.