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2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.19433252 |
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| _version_ | 1866901494544990208 |
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| author | Louro, Fernando J.O. |
| author_facet | Louro, Fernando J.O. |
| contents | <p>This work presents the Formalism Mother-Ghost with Structural Coherence Detection and von Mangoldt weighting (FMF-SCD-Λ), a hybrid spectral-arithmetic framework for critical line analysis. The Bessel-type Mother sector is rigorously derived from dilation operator Mellin symbols (resolving previous ad hoc formulations), while the Ghost sector employs phase coherence detection (∇φ ≈ 0) rather than fragile amplitude minimization.</p> <p>Main result: 17.6-fold amplification of von Mangoldt signals over neutral weighting in the optimal regime (δ=0.264, ε=0.001), with 6.7× robustness over random controls.</p> <p>Epistemic stance: This constitutes numerical evidence, not a proof of the Riemann Hypothesis. We explicitly detail three falsification protocols (symmetry circularity test, spectral gap exclusion for σ≠1/2, and high-zero validation) required for global claims. The framework establishes a quantifiable local-asymptotic detector of prime-power arithmetic with rigorous derivation and transparent limitations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19433252 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unified Choerence Detector for Reimman Hypothesis Louro, Fernando J.O. <p>This work presents the Formalism Mother-Ghost with Structural Coherence Detection and von Mangoldt weighting (FMF-SCD-Λ), a hybrid spectral-arithmetic framework for critical line analysis. The Bessel-type Mother sector is rigorously derived from dilation operator Mellin symbols (resolving previous ad hoc formulations), while the Ghost sector employs phase coherence detection (∇φ ≈ 0) rather than fragile amplitude minimization.</p> <p>Main result: 17.6-fold amplification of von Mangoldt signals over neutral weighting in the optimal regime (δ=0.264, ε=0.001), with 6.7× robustness over random controls.</p> <p>Epistemic stance: This constitutes numerical evidence, not a proof of the Riemann Hypothesis. We explicitly detail three falsification protocols (symmetry circularity test, spectral gap exclusion for σ≠1/2, and high-zero validation) required for global claims. The framework establishes a quantifiable local-asymptotic detector of prime-power arithmetic with rigorous derivation and transparent limitations.</p> |
| title | Unified Choerence Detector for Reimman Hypothesis |
| url | https://doi.org/10.5281/zenodo.19433252 |