Categorical Emergence of the Standard Model: Algebraic QFT, Operator Gravity, and the Bimodal Ground State
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901254939082752 |
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| author | Adam, Marzuq Yussif Etsie |
| author_facet | Adam, Marzuq Yussif Etsie |
| contents | <h3>Abstract</h3> <p>We propose a unified matrix framework that derives the Standard Model and General Relativity strictly from the analytical mechanics of the N-dimensional Simple Harmonic Oscillator (SHO). Taking the continuum limit natively generates covariant field equations, while internal gauge symmetries ($SU(2) \times U(1)$) emerge via the Nielsen-Ninomiya theorem on bipartite topological lattices. We resolve the $10^{120}$ vacuum catastrophe through Zeta-function regularization of the categorical trace and provide the explicit soliton Lagrangian for Cold Dark Matter ($w \approx 0$). Finally, we prove that the physical realization of the Heisenberg Cut is the transistor, establishing a Unified Hybrid Synthesis between quantum implicit filtering and classical explicit registration.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19026278 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Categorical Emergence of the Standard Model: Algebraic QFT, Operator Gravity, and the Bimodal Ground State Adam, Marzuq Yussif Etsie Standard Model Algebraic QFT Category Theory General Relativity Bimodal Framework Nielsen-Ninomiya Theorem Zeta Regularization Dark Matter Solitons Information Paradox <h3>Abstract</h3> <p>We propose a unified matrix framework that derives the Standard Model and General Relativity strictly from the analytical mechanics of the N-dimensional Simple Harmonic Oscillator (SHO). Taking the continuum limit natively generates covariant field equations, while internal gauge symmetries ($SU(2) \times U(1)$) emerge via the Nielsen-Ninomiya theorem on bipartite topological lattices. We resolve the $10^{120}$ vacuum catastrophe through Zeta-function regularization of the categorical trace and provide the explicit soliton Lagrangian for Cold Dark Matter ($w \approx 0$). Finally, we prove that the physical realization of the Heisenberg Cut is the transistor, establishing a Unified Hybrid Synthesis between quantum implicit filtering and classical explicit registration.</p> |
| title | Categorical Emergence of the Standard Model: Algebraic QFT, Operator Gravity, and the Bimodal Ground State |
| topic | Standard Model Algebraic QFT Category Theory General Relativity Bimodal Framework Nielsen-Ninomiya Theorem Zeta Regularization Dark Matter Solitons Information Paradox |
| url | https://doi.org/10.5281/zenodo.19026278 |