Visualizing Prime Interference with Python: An AiSU-Theoretic Interpretation of the Zeta Function

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Autore principale: Kozo Aisu
Natura: Recurso digital
Pubblicazione: Zenodo 2025
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author Kozo Aisu
author_facet Kozo Aisu
contents <p>This preprint presents a novel interpretation of prime number distribution through the lens of AiSU Theory by analyzing the deviation between the actual prime count π(x) and the logarithmic integral Li(x). Using Python, the gap π(x) - Li(x) is visualized as an interference wave, reflecting the influence of non-trivial zeros of the Riemann zeta function. AiSU syntax (A + i)·S·U = 1 is applied to model prime generation as a semantic jump process, where fluctuation (i) caused by zeta zeros interferes with structural expectation (S) to produce observable outputs (U). The result connects number theory, symbolic structure, and meaning, making mathematical behavior visually and conceptually resonant.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_15522190
institution Zenodo
language
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Visualizing Prime Interference with Python: An AiSU-Theoretic Interpretation of the Zeta Function
Kozo Aisu
<p>This preprint presents a novel interpretation of prime number distribution through the lens of AiSU Theory by analyzing the deviation between the actual prime count π(x) and the logarithmic integral Li(x). Using Python, the gap π(x) - Li(x) is visualized as an interference wave, reflecting the influence of non-trivial zeros of the Riemann zeta function. AiSU syntax (A + i)·S·U = 1 is applied to model prime generation as a semantic jump process, where fluctuation (i) caused by zeta zeros interferes with structural expectation (S) to produce observable outputs (U). The result connects number theory, symbolic structure, and meaning, making mathematical behavior visually and conceptually resonant.</p>
title Visualizing Prime Interference with Python: An AiSU-Theoretic Interpretation of the Zeta Function
url https://doi.org/10.5281/zenodo.15522190