Closed Surface General Theory: Degeneracy as the Universal Mechanism of Order Formation

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Název: Closed Surface General Theory: Degeneracy as the Universal Mechanism of Order Formation
Autoři: Konno, Tetsuo
Informace o vydavateli: Zenodo, 2025.
Rok vydání: 2025
Témata: modal collapse, universal principle, curvature dynamics, topological filtering, structure formation, degeneracy, order emergence, pattern selection, closed surface geometry, SPD model
Popis: This paper formulates a unified geometric theory in which degeneracy is recognized as the universal mechanism behind the emergence of structure and order in natural systems. Extending the Structural Pattern Degeneracy (SPD) model beyond quantum and nuclear domains, the theory interprets diverse phenomena—such as isotope formation, chemical reactions, sedimentation, crystal growth, and biological differentiation—as processes of modal collapse on closed surfaces. In this framework, disorder is gradually filtered into lower-dimensional, resonant configurations through curvature, energy, or topological constraints. Degeneracy is thus redefined not as a defect, but as nature’s method for pattern selection and structural resolution.
Druh dokumentu: Article
Jazyk: English
DOI: 10.5281/zenodo.16258173
DOI: 10.5281/zenodo.16258174
Rights: CC BY
Přístupové číslo: edsair.doi.dedup.....187ff11d67e92c35d00a69181690d411
Databáze: OpenAIRE
Popis
Abstrakt:This paper formulates a unified geometric theory in which degeneracy is recognized as the universal mechanism behind the emergence of structure and order in natural systems. Extending the Structural Pattern Degeneracy (SPD) model beyond quantum and nuclear domains, the theory interprets diverse phenomena—such as isotope formation, chemical reactions, sedimentation, crystal growth, and biological differentiation—as processes of modal collapse on closed surfaces. In this framework, disorder is gradually filtered into lower-dimensional, resonant configurations through curvature, energy, or topological constraints. Degeneracy is thus redefined not as a defect, but as nature’s method for pattern selection and structural resolution.
DOI:10.5281/zenodo.16258173