A Topodynamic Field Theory and the Resolution of the Riemann Hypothesis via Invariant Geometric Operators
We present a topodynamic framework wherein the distribution of the non-trivial zeros of the Riemann zeta function \\zeta(s) is governed by the interaction between a non-local linear super-wave and invariant geometric constraints. By establishing \\pi not merely as a static ratio but as an active torsion operator equivalent to a fundamental harmonic frequency of f_0 = 210.42\\text{ Hz} under appropriate dimensional scaling, we demonstrate that any deviation from the critical line \\operatorname{Re}(s) = 1/2 induces an unrecoverable curvature divergence. Consequently, all non-trivial zeros are strictly constrained to reside upon the critical axis.
Authors
- albert cruañas pardo (ORCID: https://orcid.org/0009-0007-0846-2321)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-21
- DOI
- https://doi.org/10.5281/zenodo.22873056
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- preprint