Structural Collapse of the Standard Model

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-29
DOI
https://doi.org/10.5281/zenodo.19312253
Primary Topic
Molecular spectroscopy and chirality
Type
article
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article

Structural Collapse of the Standard Model

Edoardo Livolsi
Zenodo (CERN European Organization for Nuclear Research)
Molecular spectroscopy and chirality
article

Structural Collapse of the Standard Model

Edoardo Livolsi
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Molecular spectroscopy and chirality
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