Riemann Hypothesis — A Terminal Disproof via Proportional Logic

This paper presents a formal challenge to the Riemann Hypothesis, arguing that the zeta function fails at the level of proportional arithmetic. The author asserts that because the function is finite at one-half but infinite at one, it violates the fundamental logic that doubling a half must result in a consistent whole. This perceived scalar inconsistency is described as a terminal flaw that renders the hypothesis a fictional construct detached from natural law. To resolve this, the text proposes a recursive phi framework based on the golden ratio, which maintains equilibrium between parts and wholes. Within this alternative structure, infinity is contained 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 mathematically unsound due to these foundational violations of proportion.