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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18529767 |
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| _version_ | 1866902309663932416 |
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| author | Kunferman, C.R. |
| author_facet | Kunferman, C.R. |
| contents | <p>This paper presents a formal challenge to the <strong>Riemann Hypothesis</strong>, arguing that the zeta function fails at the level of <strong>proportional arithmetic</strong>. The author asserts that because the function is finite at <strong>one-half</strong> but infinite at <strong>one</strong>, it violates the fundamental logic that doubling a half must result in a consistent whole. This perceived <strong>scalar inconsistency</strong> is described as a terminal flaw that renders the hypothesis a fictional construct detached from natural law. To resolve this, the text proposes a <strong>recursive phi framework</strong> based on the golden ratio, which maintains equilibrium between parts and wholes. Within this alternative structure, <strong>infinity is contained</strong> rather than unresolved, allowing the zeta function to operate without the contradictions found in traditional frameworks. The work concludes that while the hypothesis inspired significant discovery, it remains <strong>mathematically unsound</strong> due to these foundational violations of proportion.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18529767 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Riemann Hypothesis — A Terminal Disproof via Proportional Logic Kunferman, C.R. <p>This paper presents a formal challenge to the <strong>Riemann Hypothesis</strong>, arguing that the zeta function fails at the level of <strong>proportional arithmetic</strong>. The author asserts that because the function is finite at <strong>one-half</strong> but infinite at <strong>one</strong>, it violates the fundamental logic that doubling a half must result in a consistent whole. This perceived <strong>scalar inconsistency</strong> is described as a terminal flaw that renders the hypothesis a fictional construct detached from natural law. To resolve this, the text proposes a <strong>recursive phi framework</strong> based on the golden ratio, which maintains equilibrium between parts and wholes. Within this alternative structure, <strong>infinity is contained</strong> rather than unresolved, allowing the zeta function to operate without the contradictions found in traditional frameworks. The work concludes that while the hypothesis inspired significant discovery, it remains <strong>mathematically unsound</strong> due to these foundational violations of proportion.</p> |
| title | Riemann Hypothesis — A Terminal Disproof via Proportional Logic |
| url | https://doi.org/10.5281/zenodo.18529767 |