ψ⁸.Riemann — The Retentive Law Behind the Critical Line
Year: 2025
Type: article
Abstract: 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.
Author: Yulia, Logacheva
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893333314
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