On the Constant Real Part of Non-Trivial Zeros: A Proof of the Riemann Hypothesis

NOTICE: A revised version presenting a complete and rigorous proof that fully resolves the prior logical flaw will be published here on 29th Jul, 2026. This paper presents a proof of the Riemann Hypothesis by examining the geometric and arithmetic properties of the Dirichlet eta function. By assuming the existence of zeros off the critical line, and analyzing the resulting alternating series in the complex plane, we establish a logical contradiction. The proof relies on insights into the structure of these series, demonstrating that all non-trivial zeros must possess a real part of exactly 1/2.