ψ⁸.Riemann — The Retentive Law Behind the Critical Line
This work introduces a structural derivation of the Riemann Hypothesis within the ψ⁸ framework — an architecture based on the internal retention of difference (Δψ) across pseudo-time (τ) via stability nodes (Ξ). Instead of analytic continuation or spectral analogies, we present a lagrangian system where the critical line \Re(s) = 1/2 emerges as the only condition under which difference can be held without collapse. The result reframes the Riemann Hypothesis not as a conjecture, but as a law of balance, born at the edge of retention. This is not a traditional proof. It is a new kind of explanation — one that shows why the structure had to exist, and why it could not be otherwise.
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2025-06-23
- DOI
- https://doi.org/10.5281/zenodo.15723116
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00