A Width–2 Functional-Equation Parity Argument for the Riemann Hypothesis

This record archives Version 3 of a manuscript presenting a claimed proof of the Riemann Hypothesis via a width-two functional-equation parity framework and an absolute magnitude multiplicative shell. Version 3 introduces rigorous structural and sequencing repairs to the exposition to ensure a strict, non-circular logical dependency chain. The manuscript now introduces a general pre-shell input and general shell radius before imposing boundary constraints. Exact horizontal normalisation and an explicit target-ladder admissibility criterion are used to rigorously derive, rather than preselect, the absolute magnitude branch and its resulting phase lock. The geometric collapse of the horizontal displacement is isolated as a strict, downstream consequence of these algebraic constraints. This deposit is intended for public timestamping, provenance, and expert mathematical evaluation. The archive includes the main manuscript PDF, the LaTeX source code, a journal metadata text file, and a proof-spine summary. The record is deposited for public timestamping, provenance, reproducibility, and independent expert mathematical evaluation. It includes: the manuscript PDF; the complete LaTeX source; journal-submission metadata; and a concise proof-spine summary for expert navigation. The mathematical ideas, claims, arguments, and final responsibility for the manuscript are the author’s. OpenAI’s ChatGPT was used as an assistive tool for drafting, editing, restructuring, and checking the clarity and internal consistency of notation and exposition. ChatGPT is not an author and is not a source of mathematical authority or external validation. This archival record does not constitute peer review, journal acceptance, or independent certification of the claimed proof.