I tiakina i:
Ngā taipitopito rārangi puna kōrero
Kaituhi matua: Moon, S.J
Hōputu: Recurso digital
Reo:
I whakaputaina: Zenodo 2026
Ngā marau:
Urunga tuihono:https://doi.org/10.5281/zenodo.19378008
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Rārangi ihirangi:
  • <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>