Livolsi, Edoardo: Complete Emergence of Proton Observables from a Closed Variational Functional

We present a closed variational framework in which a multi-component field is governed by a quartic functional with no external parameters or phenomenological inputs. Starting from the stationary condition and the associated Hessian operator, we derive a rigid spectral structure characterized by a fixed eigenvalue pattern {1, L, L} with L = 1/4, enforced by the internal algebraic closure of the system. This structure induces a minimal cyclic configuration space compatible with a Z3 symmetry, wit