Emergence of a Complete Physical Structure from a Single Variational Functional: Spectral Closure, Neutrino Mass, EMC Effect and the Universal Livolsi Constant L = 0.25

This work presents a complete structural derivation of physical observables from a single quartic variational functional without external input, parameter fitting, or sector decomposition. Starting from the functional S, stationary configurations are obtained through explicit variation. The second variation defines a Hessian operator with an intrinsic Z₃ symmetric structure, yielding a universal spectral triplet 1, L, L with L = 0. 25 and a single emergent scale E^. All physical quantities are shown to arise as projections of this spectral structure. In particular: Neutrino masses emerge as higher-order suppressed levels of the spectral hierarchy Eₙ = E^ Lᵏ The EMC effect follows from a core–shell decomposition induced by spectral degeneracy Gravitational-wave residual structures correspond to transitions between discrete spectral levels No independent parameters, interaction sectors, or empirical inputs are introduced at any stage. The full physical description reduces to a deterministic sequence: SΨ → δS = 0 → solution space → Hessian → spectrum → selection operator Ω → physical configuration The result is a closed, rigid, and non-decomposable structure, implying a structural incompatibility with multi-parameter models such as the Standard Model.