What question did this study set out to answer?

The study aims to formalize the Federico Maya Eternity Theorem to establish the Riemann Hypothesis as a condition for unitary evolution in a complex manifold.

July 2, 2026Open Access

The Federico Maya Eternity Theorem: An analytic and Geometric proposal to prove the Riemann Hypothesis. v19.5

Key Points

The study aims to formalize the Federico Maya Eternity Theorem to establish the Riemann Hypothesis as a condition for unitary evolution in a complex manifold.
Formalization of the theorem in a 12-dimensional negentropic Einstein-dilatonic manifold M12.
Demonstration of the minimal Sturm–Liouville operator being essentially self-adjoint on a dense core domain.
Derivation of heat kernel asymptotics and the spectral zeta function using the Mellin transform.
The unique self-adjoint extension of the Sturm–Liouville operator possesses a purely discrete spectrum with deficiency indices (0, 0).
Character trace is locked at Tr ρ(γp) = 10, preserving analytic regularity.
The framework resolves domain instabilities and non-local obstructions that challenge existing spectral candidates.

Abstract

We present the comprehensive analytic and geometric formalization of the Federico Maya Eter-nity Theorem (v19.5), establishing the Riemann Hypothesis as an exact structural consistency con-dition of unitary evolution on a compactly supported 12-dimensional negentropic Einstein-dilatonicmanifold M 12.Analytical domain closure is achieved by demonstrating that the minimal Sturm–Liouville op-erator ˆH0 is essentially self-adjoint on the dense core domain D = C∞c (R+) ⊗ C48 under a uniformRiccati warp bound 0 ≤ u(r) ≤ 0.05513 imposed by the synthetic curvature-dimension conditionCD(ρ, ∞). We prove that the unique self-adjoint extension ˆH = ˆH∗0 possesses a purely discrete,strictly real spectrum, with deficiency indices identically (0, 0).The character trace of the unitary monodromy representation ρ : Γ0(4) → U (48) is shownto be uniquely locked at Tr ρ(γp) = 10 to preserve analytic domain regularity against singularboundary defects. We derive the explicit heat kernel asymptotics and the archimedean factor viaMellin transform, and establish the spectral zeta function regularization bridge to the completedRiemann xi-function. Finally, we provide a rigorous comparative structural analysis showing howthis framework uniquely resolves the domain instabilities, non-local obstructions, and non-self-adjoint eigenvalue leakage that invalidate alternative spectral candidatesFEDERICO MAYA fedemaya@gmail.com

Read Full Paperexternally

KI fragen

Bookmark

View Full Paper