TV–TIC Dynamics V: Fermions and Chirality
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2025
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| _version_ | 1866901686225731584 |
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| author | Vostrikov, Valeri |
| author_facet | Vostrikov, Valeri |
| contents | <p>This work develops the emergence of fermionic degrees of freedom within the TV–TIC framework, demonstrating that the defining properties of fermions—exclusion, spin-$\tfrac{1}{2}$ structure, chirality, and gauge interactions—arise naturally from the organisation and stabilisation of correlations. Rather than being imposed as fundamental axioms, these features emerge from the antisymmetric sector of the correlation matrix and its dynamics under the Trigger–Wave operator.</p> <p>The paper shows that:</p> <ul> <li> <p>antisymmetric low-rank modes act as localised excitations that cannot be duplicated without cancellation, yielding a geometric exclusion principle;</p> </li> <li> <p>the internal two-component organisation of these modes defines an emergent spinor frame transforming under an $SU(2)$ stabiliser symmetry;</p> </li> <li> <p>asymmetric stabilisation dynamics selects one graded component, producing a robust chiral asymmetry;</p> </li> <li> <p>gauge interactions of the families $U(1)$, $SU(2)$, and $SU(3)$ appear as geometric consequences of transporting these correlation frames;</p> </li> <li> <p>the relative strengths of these interactions are determined by the geometric complexity of the corresponding transported bundles, providing a natural coupling hierarchy.</p> </li> </ul> <p>Appendix A presents the mathematical foundations of these results, including spectral criteria, localisation behaviour, exclusion proofs, and the relationship between correlation transport and gauge curvature.<br>Appendix B provides an experimental guide highlighting observable signatures, quantitative scaling laws, and potential platforms—such as Rydberg atom arrays, photonic lattices, trapped ions, and high-energy experiments—where TV–TIC effects may be detectable.</p> <p><strong>Together, these results suggest that the fundamental features of matter may originate from a single underlying principle: the organisation and propagation of correlations.</strong></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17885825 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | TV–TIC Dynamics V: Fermions and Chirality Vostrikov, Valeri TV–TIC framework emergent physics fermions chirality correlation dynamics antisymmetric modes gauge interactions emergence of matter <p>This work develops the emergence of fermionic degrees of freedom within the TV–TIC framework, demonstrating that the defining properties of fermions—exclusion, spin-$\tfrac{1}{2}$ structure, chirality, and gauge interactions—arise naturally from the organisation and stabilisation of correlations. Rather than being imposed as fundamental axioms, these features emerge from the antisymmetric sector of the correlation matrix and its dynamics under the Trigger–Wave operator.</p> <p>The paper shows that:</p> <ul> <li> <p>antisymmetric low-rank modes act as localised excitations that cannot be duplicated without cancellation, yielding a geometric exclusion principle;</p> </li> <li> <p>the internal two-component organisation of these modes defines an emergent spinor frame transforming under an $SU(2)$ stabiliser symmetry;</p> </li> <li> <p>asymmetric stabilisation dynamics selects one graded component, producing a robust chiral asymmetry;</p> </li> <li> <p>gauge interactions of the families $U(1)$, $SU(2)$, and $SU(3)$ appear as geometric consequences of transporting these correlation frames;</p> </li> <li> <p>the relative strengths of these interactions are determined by the geometric complexity of the corresponding transported bundles, providing a natural coupling hierarchy.</p> </li> </ul> <p>Appendix A presents the mathematical foundations of these results, including spectral criteria, localisation behaviour, exclusion proofs, and the relationship between correlation transport and gauge curvature.<br>Appendix B provides an experimental guide highlighting observable signatures, quantitative scaling laws, and potential platforms—such as Rydberg atom arrays, photonic lattices, trapped ions, and high-energy experiments—where TV–TIC effects may be detectable.</p> <p><strong>Together, these results suggest that the fundamental features of matter may originate from a single underlying principle: the organisation and propagation of correlations.</strong></p> |
| title | TV–TIC Dynamics V: Fermions and Chirality |
| topic | TV–TIC framework emergent physics fermions chirality correlation dynamics antisymmetric modes gauge interactions emergence of matter |
| url | https://doi.org/10.5281/zenodo.17885825 |