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August 19, 2026Open Access

The Coherence Imperative: A Proof of the Riemann Hypothesis via Spectral-Algebraic Unification in Orbifold Compactifications

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Authors

JZJaime Quilez Zamora

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Overview

Theoretical framework demonstrates non-trivial Riemann zeros localize to the critical line via orbifold geometry, indicating a unified bridge between string theory and analytic number theory.

Key Points

  • To establish a proof of the Riemann Hypothesis by mapping the non-trivial zeros of the Riemann zeta function to the discrete spectrum of a self-adjoint operator in string compactifications.
  • Constructed a spectral Hamiltonian over a six-dimensional T^6/Z_3 orbifold using exact moduli stabilization within native N=1 supergravity.
  • Analyzed the topological 3-cycle homology under PT-symmetric and Hermitian boundary conditions.
  • Demonstrated that the spectral Hamiltonian governing topological cycles yields strictly real eigenvalues under defined boundary conditions.
  • Showed that the algebraic coherence of the 36-cycle homology strictly localizes the real component of all non-trivial zeros to the critical line Re(s) = 1/2.

Cite This Study

Jaime Quilez Zamora (2026) studied this question.

synapsesocial.com/papers/6a85643903308d306e2d7d4ahttps://doi.org/10.5281/zenodo.21978895
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