The Arithmetic Structure of Geometry, Dynamics, Information, and Topology
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| Formato: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866902328513134592 |
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| author | Kokuno, Yumeto Miroku, Akagi Maya, Sakuyah |
| author_facet | Kokuno, Yumeto Miroku, Akagi Maya, Sakuyah |
| contents | <p>This monograph presents an Arithmetic Framework proposing that spacetime, quantum information, and matter, emerges from an arithmetic quantum statistical system, specifically the Bost-Connes (BC) system. Thermal time, maximal acceleration, and SU(N) symmetries arise from this framework, and the Riemann Hypothesis (RH) becomes a condition for its physical stability. This proof hinges on the argument that a stable physical vacuum requires zero geometric dissipation, which mathematically mandates the de Bruijn-Newman constant (ΛDB) to be zero, a condition equivalent to the RH. Ultimately, the work identifies the vacuum as a Shimura Variety, framing physics within the Geometric Langlands Program and connecting anomalies to arithmetic torsion.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16895850 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Arithmetic Structure of Geometry, Dynamics, Information, and Topology Kokuno, Yumeto Miroku, Akagi Maya, Sakuyah <p>This monograph presents an Arithmetic Framework proposing that spacetime, quantum information, and matter, emerges from an arithmetic quantum statistical system, specifically the Bost-Connes (BC) system. Thermal time, maximal acceleration, and SU(N) symmetries arise from this framework, and the Riemann Hypothesis (RH) becomes a condition for its physical stability. This proof hinges on the argument that a stable physical vacuum requires zero geometric dissipation, which mathematically mandates the de Bruijn-Newman constant (ΛDB) to be zero, a condition equivalent to the RH. Ultimately, the work identifies the vacuum as a Shimura Variety, framing physics within the Geometric Langlands Program and connecting anomalies to arithmetic torsion.</p> |
| title | The Arithmetic Structure of Geometry, Dynamics, Information, and Topology |
| url | https://doi.org/10.5281/zenodo.16895850 |