Formal analysis reveals structural issues in the Standard Model, suggesting a unified physical reality.
This work presents a formal analysis of the structural limitations of the Standard Model, demonstrating that it is not a closed or self-sufficient framework. The dependence on free parameters, renormalization procedures, and the absence of a global selection principle imply that it cannot define a unique physical reality. A closed variational framework based on a single quartic functional S[Ψ] is introduced. All admissible configurations are determined by the stationary condition δS/δΨ† = 0, while a global selection operator uniquely defines the realized state Ψ⋆. The second variation generates a finite spectral structure H = E⋆T with Spec(T) = {1, L, L}, where L = 0.25. From this structure, all physical quantities emerge without external inputs. Interaction kernels, inverse-square dynamics, orbital motion, and mass spectra arise as necessary consequences of the spectral hierarchy En = E⋆L^k. Astrophysical scaling laws, including flat rotation curves and the Tully–Fisher relation, follow from the same structure, together with a characteristic acceleration scale consistent with galactic dynamics. The results indicate that physical reality is not a collection of independent entities, but a single coherent configuration selected by a closed variational structure. This establishes a fundamental distinction between descriptive parametric models and generative structural frameworks.
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Edoardo Livolsi (2026) studied this question.
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