We demonstrate that weak and strong nuclear "forces" are not fundamental interactions but emerge from geometric structures in Structured Vacuum Theory. Beta decay represents vacuum configuration transitions between neutron and proton states, while quark confinement arises from topological stability of hadronic solitons. The Higgs mechanism is reinterpreted as scalar field φ acquiring non-zero vacuum expectation value, with particle masses corresponding to energy levels of vacuum structures. This eliminates quantum chromodynamics and electroweak theory as fundamental descriptions, unifying all particle phenomena under vacuum geometry. Complete mathematical derivation and SageMath implementation provided for nuclear transitions and hadronic stability. Represents final unification of all physics under geometric principles.