From ψ⁰ to ζ: The Retentive Architecture of Difference as the Ground of Truth

This article introduces a radical rethinking of the Riemann Hypothesis through the lens of ψ⁸ — a formal system where difference is not deduced but retained. Tracing the trajectory from ψ⁰ (zero retention) to the ζ-function, the work proposes that truth arises not through proof but through a topology of internal retention across pseudo-time. The result is a new epistemological and ontological foundation for mathematics, where stability, difference, and silence coexist in the architecture of Ξ.