Analytic framework reveals interactions of torsion structures in Riemann zeta function zeros, suggesting underlying patterns.
This manuscript develops a torsion-based analytic framework for understanding the distribution of non-trivial zeros of the Riemann zeta function. We introduce a Torsion Functional, a Reintegration Operator, and a Prime Stress Functional, and we analyze how these structures interact with the functional equation of the completed zeta function [1,2]. The resulting system exhibits a natural equilibrium along the line ℜ(s)=12, which we interpret as the unique axis of torsional symmetry. While this framework does not constitute a proof of the Riemann Hypothesis, it provides a coherent mechanical and operator-theoretic model that unifies prime irregularity, even-number periodicity, and zeta-function symmetry into a single analytic engine.
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Timothy Desmond (2026) studied this question.
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