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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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Zenodo
2026
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| Acceso en línea: | https://doi.org/10.5281/zenodo.19661820 |
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| _version_ | 1866901191007404032 |
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| author | DE DOMINICIS, BRUNO |
| author_facet | DE DOMINICIS, BRUNO |
| contents | <p> We propose a geometric and algebraic unification of particle physics and cosmology by replacing the paradigm of quantum fields on a fixed spacetime background with a relational pre-geometric substrate based on the Clifford algebra $\text{Cl}(6,6)$ [@Clifford1878; @Hestenes1984]. Integrating P. Rowlands' nilpotent formalism (emergent spin, active vacuum, native Pauli exclusion) [@Rowlands2007] and J.-P. Petit's Janus bimetric model (negative masses, self-generated expansion, Dipole Repeller) [@Petit2024], we demonstrate that both approaches are orthogonal projections of a single dual invariant. The Dirac equation is derived from the algebraic structure, and a unified variational principle is proposed, from which all equations of motion follow. Elementary particles are defined as stable configurations of relational angles, encoded by 144 nilpotent pentads arising from the foliation of $\text{Cl}(6,6)$ into 12 regulatory leaves. Fundamental interactions are reformulated as geometric rearrangements driven by a transition operator $T$, eliminating the need for virtual gauge bosons. The cosmological constant $\Lambda$, dark matter, and dark energy emerge as macroscopic projections of the local coupling density between cosmic and anti-cosmic sectors. The architecture is organized across scales by Bott periodicity [@Bott1959], validated by the 200 MeV resonance in magnetars [@FermiLAT]. This self-regulating relational framework predicts testable observational signatures and paves the way for a unified physics where micro and macro, algebra and geometry, are merely two faces of the same Janus coin.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19661820 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | WuXing and Cl(6,6): 144 Pentads for a Unified Relational Physics DE DOMINICIS, BRUNO Cl(6,6), Wuxing Nilpotent pentads Janus model Bott periodicity Nebe lattice 72D space Transition operator T Relational Physics Pre-geometric Substrat Emergent Spin Negative Masses Dark Energy Dark Matter Clifford Algebra Spectral Gap <p> We propose a geometric and algebraic unification of particle physics and cosmology by replacing the paradigm of quantum fields on a fixed spacetime background with a relational pre-geometric substrate based on the Clifford algebra $\text{Cl}(6,6)$ [@Clifford1878; @Hestenes1984]. Integrating P. Rowlands' nilpotent formalism (emergent spin, active vacuum, native Pauli exclusion) [@Rowlands2007] and J.-P. Petit's Janus bimetric model (negative masses, self-generated expansion, Dipole Repeller) [@Petit2024], we demonstrate that both approaches are orthogonal projections of a single dual invariant. The Dirac equation is derived from the algebraic structure, and a unified variational principle is proposed, from which all equations of motion follow. Elementary particles are defined as stable configurations of relational angles, encoded by 144 nilpotent pentads arising from the foliation of $\text{Cl}(6,6)$ into 12 regulatory leaves. Fundamental interactions are reformulated as geometric rearrangements driven by a transition operator $T$, eliminating the need for virtual gauge bosons. The cosmological constant $\Lambda$, dark matter, and dark energy emerge as macroscopic projections of the local coupling density between cosmic and anti-cosmic sectors. The architecture is organized across scales by Bott periodicity [@Bott1959], validated by the 200 MeV resonance in magnetars [@FermiLAT]. This self-regulating relational framework predicts testable observational signatures and paves the way for a unified physics where micro and macro, algebra and geometry, are merely two faces of the same Janus coin.</p> |
| title | WuXing and Cl(6,6): 144 Pentads for a Unified Relational Physics |
| topic | Cl(6,6), Wuxing Nilpotent pentads Janus model Bott periodicity Nebe lattice 72D space Transition operator T Relational Physics Pre-geometric Substrat Emergent Spin Negative Masses Dark Energy Dark Matter Clifford Algebra Spectral Gap |
| url | https://doi.org/10.5281/zenodo.19661820 |