This work develops a fully self-contained quartic variational framework in which mass arises as a purely spectral phenomenon. Starting from the static equation, the dynamic flow, the Hessian operator, and the decision map, the structure forms a closed and parameter-free system with no external constants, scales, or background geometry. The lowest eigenvalue of the Hessian defines a unique internal curvature, which induces a single admissible mass scale. All higher masses emerge from the rigid spectral hierarchy enforced by the variational structure and by the Class S conditions of autosufficiency, internal closure, and spectral stability. The resulting transition from a quartic functional to a complete mass spectrum requires no modelling assumptions, couplings, or external inputs. Mass is shown to be an inevitable consequence of the internal spectral geometry of the functional.
Livolsi Edoardo (Tue,) studied this question.