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Analytic and geometric framework demonstrates the Riemann Hypothesis in 12-dimensional space, suggesting new insights into spectral theory.
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
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Federico Maya (2026) studied this question.
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