The Fundamental Fields Theorem
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
| Publicado: |
Zenodo
2026
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| _version_ | 1866901616597139456 |
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| author | Gates, Simon F. |
| author_facet | Gates, Simon F. |
| contents | <p>This work presents the<em> Fundamental Fields Theorem</em>, a deductive classification of classical interaction fields under the requirement of closure. Introducing a conservative, structural notion of self-contained conservation in regimes where conserved quantities are well defined, the theorem shows that any fundamental classical interaction field must be universal, self-coupled, and geometrically mediated. Within the classical domain, this uniquely isolates gravity as the only admissible closing interaction field, while all non-gravitational interaction fields are necessarily open in the stated sense.</p> <p>The result is independent of phenomenology, specific actions, or model fitting, and provides the logical foundation for the downstream <em>Gravitational Closure (Ananke) Theorem</em>.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18387035 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Fundamental Fields Theorem Gates, Simon F. Fundamental Fields Theorem Classical Field Theory Gravitational Closure Structural Classification Conserved Quantities Symmetry and Rigidity Universality of Gravity Interaction Fields Law-Complete Theories Foundations of Gravitation <p>This work presents the<em> Fundamental Fields Theorem</em>, a deductive classification of classical interaction fields under the requirement of closure. Introducing a conservative, structural notion of self-contained conservation in regimes where conserved quantities are well defined, the theorem shows that any fundamental classical interaction field must be universal, self-coupled, and geometrically mediated. Within the classical domain, this uniquely isolates gravity as the only admissible closing interaction field, while all non-gravitational interaction fields are necessarily open in the stated sense.</p> <p>The result is independent of phenomenology, specific actions, or model fitting, and provides the logical foundation for the downstream <em>Gravitational Closure (Ananke) Theorem</em>.</p> |
| title | The Fundamental Fields Theorem |
| topic | Fundamental Fields Theorem Classical Field Theory Gravitational Closure Structural Classification Conserved Quantities Symmetry and Rigidity Universality of Gravity Interaction Fields Law-Complete Theories Foundations of Gravitation |
| url | https://doi.org/10.5281/zenodo.18387035 |