Gödel III and the φ-Zeta: A Minimal Framework

We articulate an inside-outside split for RH. Inside a modest arithmetical-analytic base theory T 0 one should not expect a proof, while outside a phase-extended theory T φ enforces the mirror symmetry about Re(s) = 1 2 without overreaching. We keep the mathematics lean: an explicit trigonometric identity, a carefully axiomatized extension, and relative conservativity statements.

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Publication Details

Published
2025-10-13
DOI
https://doi.org/10.22541/au.176037819.97152989/v1
Primary Topic
Mathematical and Theoretical Analysis
Type
article
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article

Gödel III and the φ-Zeta: A Minimal Framework

Thomas Richter
Mathematical and Theoretical Analysis
article

Gödel III and the φ-Zeta: A Minimal Framework

Thomas Richter
article en

Abstract

We articulate an inside-outside split for RH. Inside a modest arithmetical-analytic base theory T 0 one should not expect a proof, while outside a phase-extended theory T φ enforces the mirror symmetry about Re(s) = 1 2 without overreaching. We keep the mathematics lean: an explicit trigonometric identity, a carefully axiomatized extension, and relative conservativity statements.

Openalex Percentile: Top 64%
Mathematical and Theoretical Analysis
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Gödel III and the φ-Zeta: A Minimal Framework — Thomas Richter · (2025) | TGRS Research Map | TGRS