A Self-Adjoint Mechanism Confining the Zeros of the Riemann ξ–Function
Japanese Explanation
We propose a framework that describes the nontrivial zeros as a spectrum, based on Hilbert–Pólya type ideas, boundary triples, mirror symmetry, finite-rank coupling, and the correspondence between the Weyl function and the completed zeta function.
Positioning of this Research
This has not been established or peer-reviewed as a proof of the Riemann Hypothesis. The analytic assumptions, operator constructions, and validity of identifications within the text must be independently verified.
Original Title: A Self–Adjoint Mechanism Confining the Zeros of the Riemann ξ–Function
English Original / English Original
Files https://doi.org/10.5281/zenodo.17531834
Authors/Creators
Description
We develop a Hilbert–P´olya style operator framework based on:
- boundary triples
- mirror symmetry implementing the functional equation
- finite–rank auxiliary coupling repre-senting local Euler factors
- analytic identification of the Weyl M –function with the completed zeta
- numerical residual stabilization
Under explicitly stated analytic assumptions, the associated spectral determinant coincides
with the completed ξ–function, forcing all nontrivial zeros of ζ(s) onto the critical line.