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Zenodo
2025
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| Online-Zugang: | https://doi.org/10.5281/zenodo.18037922 |
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| _version_ | 1866902337970241536 |
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| author | Krüger, Marcel |
| author_facet | Krüger, Marcel |
| contents | <p>We present a unified residual analysis of the NIST “Strong Lines of Hydrogen (HI)” dataset, focusing on structured deviations that persist after the application of state-of-the-art quantum electrodynamics (QED) corrections. By combining the Sigma–Schmidt Duality (SSD) framework with an effective Helix–Light–Vortex (HLV) geometric parametrization, we analyze the residuals using a log–modulated ansatz featuring a discrete helical Z3 phase structure. Our analysis reveals a statistically significant reduction of χ2 relative to null and randomized control models, with a dominant n = 3 Fourier mode consistently emerging across independent Balmer and Paschen sub–series. Model comparison using information criteria (AIC/BIC) confirms the robustness of this geometric pattern against overfitting. These results establish high–precision hydrogen spectroscopy as a sensitive testbed for detecting structured residual signatures and provide a reproducible statistical framework for assessing effective, geometry–organized deviations within precision atomic data.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18037922 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | SSD–HLV Modulation of Hydrogen Strong Lines: Cross–Scale Geometric Signatures in Precision Spectroscopy Krüger, Marcel <p>We present a unified residual analysis of the NIST “Strong Lines of Hydrogen (HI)” dataset, focusing on structured deviations that persist after the application of state-of-the-art quantum electrodynamics (QED) corrections. By combining the Sigma–Schmidt Duality (SSD) framework with an effective Helix–Light–Vortex (HLV) geometric parametrization, we analyze the residuals using a log–modulated ansatz featuring a discrete helical Z3 phase structure. Our analysis reveals a statistically significant reduction of χ2 relative to null and randomized control models, with a dominant n = 3 Fourier mode consistently emerging across independent Balmer and Paschen sub–series. Model comparison using information criteria (AIC/BIC) confirms the robustness of this geometric pattern against overfitting. These results establish high–precision hydrogen spectroscopy as a sensitive testbed for detecting structured residual signatures and provide a reproducible statistical framework for assessing effective, geometry–organized deviations within precision atomic data.</p> |
| title | SSD–HLV Modulation of Hydrogen Strong Lines: Cross–Scale Geometric Signatures in Precision Spectroscopy |
| url | https://doi.org/10.5281/zenodo.18037922 |