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This research aims to unify the geometric-spectral aspects of the Riemann Hypothesis with Cosmic Information Theory.

April 25, 2026Open Access

Geometric-Spectral Unification of the Riemann Zeta Function and Cosmic Information Theory: Deift–Zhou Monodromy, Conformal Embedding, and the σ-Flip Mechanism

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Rigorous unification explores spectral connections to the Riemann Hypothesis, indicating significant implications.

This research aims to unify the geometric-spectral aspects of the Riemann Hypothesis with Cosmic Information Theory.
Introduced the pseudo-Riemannian zeta metric and proved its information field equation.
Formulated the spectral problem as a Riemann–Hilbert problem and utilized the Deift–Zhou method for analysis.
Established global triviality of the Fuchsian monodromy and linked it to physical phenomena through a unified theorem.
Proved that the information field satisfies the CIT field equation with Gaussian curvature at non-trivial zeros.
Showed exponential decay of jump matrices, leading to spectral identification in real numbers.
Made 39 falsifiable predictions relevant to collider physics, neutrino astronomy, and precision interferometry.

Leandro de Oliveira (2026) studied this question.

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April 25, 2026Open Access

View Full Paper

Ask AI

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Authors

Rigorous unification explores spectral connections to the Riemann Hypothesis, indicating significant implications.

This research aims to unify the geometric-spectral aspects of the Riemann Hypothesis with Cosmic Information Theory.
Introduced the pseudo-Riemannian zeta metric and proved its information field equation.
Formulated the spectral problem as a Riemann–Hilbert problem and utilized the Deift–Zhou method for analysis.
Established global triviality of the Fuchsian monodromy and linked it to physical phenomena through a unified theorem.
Proved that the information field satisfies the CIT field equation with Gaussian curvature at non-trivial zeros.
Showed exponential decay of jump matrices, leading to spectral identification in real numbers.
Made 39 falsifiable predictions relevant to collider physics, neutrino astronomy, and precision interferometry.

Leandro de Oliveira (2026) studied this question.

View Full Paper

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Bookmark