Published December 22, 2025
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A Spectral Stability Proof of the Riemann Hypothesis
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We establish the Riemann Hypothesis (RH) by proving the strict positivity of the Li-coefficient sequence $\{W_n\}$ through a Newman-de Bruijn heat-flow deformation. By defining a spectral energy functional $\mathcal{E}$ and its associated kernel $f_n(t)$, we demonstrate that the "positive spectral mass" on the critical line analytically dominates any off-line potential wells.
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2025-12-10The Riemann Hypothesis (RH) asserts that all nontrivial zeros of ζ(s) satisfy ℜ(s) = 1/2. Using a combination of spectral analysis, Newman flow, and Li coefficients Wn, we develop a rigorous framework that replaces numerical observation with explicit analytic bounds. This manuscript formalizes the previously outlined intuition into a fully verifiable proo.