Frequency-Dependent Mathematical Information Signatures in WMAP- Cross-Validation Evidence for Information-Theoretic Cosmology
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2025
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| _version_ | 1866902058778492928 |
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| author | Baines, Michael |
| author_facet | Baines, Michael |
| contents | <p>We report systematic frequency-dependent signatures in WMAP 9-year cosmic microwave background data through cross-validation analysis using our previously validated methodology (Baines 2024, 0.15% false positive rate). Analysis of three frequency bands (Q: 41 GHz, V: 61 GHz, W: 94 GHz) reveals consistent patterns in enhancements at multipoles corresponding to mathematical constants φ, e, √3, and √5.</p> <p><strong>Key Finding:</strong> Mathematical constant signatures exhibit systematic frequency evolution: φ (golden ratio) shows non-monotonic behavior with peak enhancement at 61 GHz (2.28σ), while √5 demonstrates strong correlation with frequency (r = 0.991, 0.77σ → 2.88σ). Statistical analysis indicates 91% probability that observed patterns are non-random, with different constants showing distinct frequency behaviors.</p> <p><strong>Statistical Validation:</strong> Perfect false positive control maintained (0 significant detections) across all frequencies, confirming methodological robustness. Cross-dataset comparison with Planck reveals systematic differences, suggesting dataset-specific effects rather than universal signatures.</p> <p><strong>Implications:</strong> The observed frequency dependence of mathematical constant signatures warrants further investigation across additional datasets and frequencies. The systematic nature of the patterns suggests underlying physical mechanisms that merit theoretical exploration.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16261539 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Frequency-Dependent Mathematical Information Signatures in WMAP- Cross-Validation Evidence for Information-Theoretic Cosmology Baines, Michael Cosmic Microwave Background mathematical constants frequency dependence cross-validation WMAP statistical analysis cosmology information theory <p>We report systematic frequency-dependent signatures in WMAP 9-year cosmic microwave background data through cross-validation analysis using our previously validated methodology (Baines 2024, 0.15% false positive rate). Analysis of three frequency bands (Q: 41 GHz, V: 61 GHz, W: 94 GHz) reveals consistent patterns in enhancements at multipoles corresponding to mathematical constants φ, e, √3, and √5.</p> <p><strong>Key Finding:</strong> Mathematical constant signatures exhibit systematic frequency evolution: φ (golden ratio) shows non-monotonic behavior with peak enhancement at 61 GHz (2.28σ), while √5 demonstrates strong correlation with frequency (r = 0.991, 0.77σ → 2.88σ). Statistical analysis indicates 91% probability that observed patterns are non-random, with different constants showing distinct frequency behaviors.</p> <p><strong>Statistical Validation:</strong> Perfect false positive control maintained (0 significant detections) across all frequencies, confirming methodological robustness. Cross-dataset comparison with Planck reveals systematic differences, suggesting dataset-specific effects rather than universal signatures.</p> <p><strong>Implications:</strong> The observed frequency dependence of mathematical constant signatures warrants further investigation across additional datasets and frequencies. The systematic nature of the patterns suggests underlying physical mechanisms that merit theoretical exploration.</p> |
| title | Frequency-Dependent Mathematical Information Signatures in WMAP- Cross-Validation Evidence for Information-Theoretic Cosmology |
| topic | Cosmic Microwave Background mathematical constants frequency dependence cross-validation WMAP statistical analysis cosmology information theory |
| url | https://doi.org/10.5281/zenodo.16261539 |