Omega Dynamics and the Riemann–Boltzmann Correspondence
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901729456422912 |
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| author | Moon, S.J |
| author_facet | Moon, S.J |
| contents | <p> This work provides the theoretical foundation underlying the prime detection algorithm introduced in [10.5281/zenodo.19333772], establishing a structural correspondence between information, entropy, and arithmetic composition. Within the Omega Dynamics framework, prime numbers are interpreted as zero-entropy, zero-energy states, while composite numbers correspond to excited states arising from nontrivial structural branching. This formulation connects arithmetic structure to a spectral perspective related to the Riemann zeta function, offering a unified interpretation across number theory, information theory, and statistical physics.</p> <p>This work extends the Omega Dynamics framework and is intended to be read alongside its most comprehensive and refined formulation presented in <a href="https://zenodo.org/records/19135992">Version 7.2</a>[10.5281/zenodo.19135992]. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19378008 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Omega Dynamics and the Riemann–Boltzmann Correspondence Moon, S.J entropy information physics cosmological information information theory thermodynamics Omega Dynamics Prime numbers Boltzmann Constant Riemann Zeta Function Information-Energy Correspondence <p> This work provides the theoretical foundation underlying the prime detection algorithm introduced in [10.5281/zenodo.19333772], establishing a structural correspondence between information, entropy, and arithmetic composition. Within the Omega Dynamics framework, prime numbers are interpreted as zero-entropy, zero-energy states, while composite numbers correspond to excited states arising from nontrivial structural branching. This formulation connects arithmetic structure to a spectral perspective related to the Riemann zeta function, offering a unified interpretation across number theory, information theory, and statistical physics.</p> <p>This work extends the Omega Dynamics framework and is intended to be read alongside its most comprehensive and refined formulation presented in <a href="https://zenodo.org/records/19135992">Version 7.2</a>[10.5281/zenodo.19135992]. </p> |
| title | Omega Dynamics and the Riemann–Boltzmann Correspondence |
| topic | entropy information physics cosmological information information theory thermodynamics Omega Dynamics Prime numbers Boltzmann Constant Riemann Zeta Function Information-Energy Correspondence |
| url | https://doi.org/10.5281/zenodo.19378008 |