Topological Conjugation of the Riemann Zeta Functional

We propose a unified geometric framework that maps the analytical Symmetry Defect on the critical line of the Riemann Zeta function to a macroscopic manifestation of fractal spacetime torsion. Expanding upon the Universal Topological Resonance Equation and the Fractal Torsion Lagrangian, we demonstrate that the stable quadratic energy map s(1 − s) corresponds exactly to stationary solitonic solutions generated by a discrete tensor automaton governed by SU (2) unitary phase inversions. This topological conjugation not only provides a geometric rationale for singularity avoidance in Einstein-Cartan models but also offers a deterministic framework for mapping quantum gravitational states to analytical number theory.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-26
DOI
https://doi.org/10.5281/zenodo.20918895
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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preprint

Topological Conjugation of the Riemann Zeta Functional

Francesco Vicari
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Topological Conjugation of the Riemann Zeta Functional

Francesco Vicari
preprint en

Abstract

We propose a unified geometric framework that maps the analytical Symmetry Defect on the critical line of the Riemann Zeta function to a macroscopic manifestation of fractal spacetime torsion. Expanding upon the Universal Topological Resonance Equation and the Fractal Torsion Lagrangian, we demonstrate that the stable quadratic energy map s(1 − s) corresponds exactly to stationary solitonic solutions generated by a discrete tensor automaton governed by SU (2) unitary phase inversions. This topological conjugation not only provides a geometric rationale for singularity avoidance in Einstein-Cartan models but also offers a deterministic framework for mapping quantum gravitational states to analytical number theory.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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Topological Conjugation of the Riemann Zeta Functional — Francesco Vicari · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS