UMF-Inspired Gravitational-Wave Signal Templates: Theory-Anchored Waveform Generation and Correlation with the O4a LIGO–Virgo–KAGRA All-Sky Burst Search
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| _version_ | 1866901787737325568 |
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| author | Gericke, Marco |
| author_facet | Gericke, Marco |
| contents | <p>This record contains the complete implementation, results, and preregistered predictions of a Universal Model Framework (UMF) analysis targeting prime-harmonic gravitational-wave (GW) signatures in the first part of the fourth LIGO–Virgo–KAGRA observing run (O4a). The UMF models gravity as emerging from a prime-indexed information lattice and predicts narrowband spectral modulations at specific “prime frequencies” (223, 541, 809, 1013, 1619 Hz) derived from a nonlocal, entire-function dispersion relation and discrete scale invariance in the propagator. Building on previous UMF gravitation and validation work, this project translates those theoretical predictions into explicit frequency-domain waveform templates, a practical search pipeline, and quantitative parameter constraints.</p> <p>The accompanying materials include: (i) a full LaTeX article describing the theoretical background, waveform construction, data analysis methods, and statistical framework; (ii) Python code and intermediate artefacts implementing the UMF-inspired template generation, narrowband excess search, matched filtering, Bayes factor estimation, and upper-limit calculation; and (iii) figures summarizing detector sensitivity, narrowband SNR, matched-filter SNR, and 90% confidence upper limits on UMF modulation amplitudes. The analysis is executed on real O4a public strain data from GWOSC (H1+L1, 1024 s at GPS 1379000000) in the 16–4096 Hz band, directly mirroring the frequency range and non-detection reported in the O4a all-sky burst search (arXiv:2507.12374).</p> <p>No significant excess power or coherent matched-filter detection is found at any UMF prime frequency. The pipeline yields per-segment 90% confidence upper limits on the UMF modulation parameters <span><span>αp</span><span><span><span><span>α</span><span><span><span><span><span><span>p</span></span></span></span></span></span></span></span></span></span> at the ~10⁻²⁵–10⁻²⁶ level, and projects to ~10⁻²⁷ when scaled to the full O4a live time. These null results are fully consistent with UMF predictions, which place the expected modulation amplitudes around <span><span>αp∼10−15</span><span><span><span><span>α</span><span><span><span><span><span><span>p</span></span></span></span></span></span></span><span>∼</span></span><span><span>1</span><span>0<span><span><span><span><span><span>−15</span></span></span></span></span></span></span></span></span></span>, far below the present detector sensitivity implied by O4a sensitivity curves and strain upper limits. The record also contains six preregistered, quantitatively formulated UMF predictions for future observing runs (O5, Einstein Telescope, Cosmic Explorer), including prime-vs-composite frequency asymmetry tests, log-periodic phase residuals, refined GW speed constraints, and multi-epoch hierarchical Bayes factors.<span></span></p> <p>Together, this Zenodo record provides a reproducible, theory-anchored bridge between prime-indexed UMF gravitation and contemporary gravitational-wave data analysis. It is intended as a permanent preregistration of the UMF GW predictions and as a practical starting point for extending these tests to additional O4 segments, future LVK runs, and third-generation detectors.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18543595 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | UMF-Inspired Gravitational-Wave Signal Templates: Theory-Anchored Waveform Generation and Correlation with the O4a LIGO–Virgo–KAGRA All-Sky Burst Search Gericke, Marco Gravitational waves Mathematical physics <p>This record contains the complete implementation, results, and preregistered predictions of a Universal Model Framework (UMF) analysis targeting prime-harmonic gravitational-wave (GW) signatures in the first part of the fourth LIGO–Virgo–KAGRA observing run (O4a). The UMF models gravity as emerging from a prime-indexed information lattice and predicts narrowband spectral modulations at specific “prime frequencies” (223, 541, 809, 1013, 1619 Hz) derived from a nonlocal, entire-function dispersion relation and discrete scale invariance in the propagator. Building on previous UMF gravitation and validation work, this project translates those theoretical predictions into explicit frequency-domain waveform templates, a practical search pipeline, and quantitative parameter constraints.</p> <p>The accompanying materials include: (i) a full LaTeX article describing the theoretical background, waveform construction, data analysis methods, and statistical framework; (ii) Python code and intermediate artefacts implementing the UMF-inspired template generation, narrowband excess search, matched filtering, Bayes factor estimation, and upper-limit calculation; and (iii) figures summarizing detector sensitivity, narrowband SNR, matched-filter SNR, and 90% confidence upper limits on UMF modulation amplitudes. The analysis is executed on real O4a public strain data from GWOSC (H1+L1, 1024 s at GPS 1379000000) in the 16–4096 Hz band, directly mirroring the frequency range and non-detection reported in the O4a all-sky burst search (arXiv:2507.12374).</p> <p>No significant excess power or coherent matched-filter detection is found at any UMF prime frequency. The pipeline yields per-segment 90% confidence upper limits on the UMF modulation parameters <span><span>αp</span><span><span><span><span>α</span><span><span><span><span><span><span>p</span></span></span></span></span></span></span></span></span></span> at the ~10⁻²⁵–10⁻²⁶ level, and projects to ~10⁻²⁷ when scaled to the full O4a live time. These null results are fully consistent with UMF predictions, which place the expected modulation amplitudes around <span><span>αp∼10−15</span><span><span><span><span>α</span><span><span><span><span><span><span>p</span></span></span></span></span></span></span><span>∼</span></span><span><span>1</span><span>0<span><span><span><span><span><span>−15</span></span></span></span></span></span></span></span></span></span>, far below the present detector sensitivity implied by O4a sensitivity curves and strain upper limits. The record also contains six preregistered, quantitatively formulated UMF predictions for future observing runs (O5, Einstein Telescope, Cosmic Explorer), including prime-vs-composite frequency asymmetry tests, log-periodic phase residuals, refined GW speed constraints, and multi-epoch hierarchical Bayes factors.<span></span></p> <p>Together, this Zenodo record provides a reproducible, theory-anchored bridge between prime-indexed UMF gravitation and contemporary gravitational-wave data analysis. It is intended as a permanent preregistration of the UMF GW predictions and as a practical starting point for extending these tests to additional O4 segments, future LVK runs, and third-generation detectors.</p> |
| title | UMF-Inspired Gravitational-Wave Signal Templates: Theory-Anchored Waveform Generation and Correlation with the O4a LIGO–Virgo–KAGRA All-Sky Burst Search |
| topic | Gravitational waves Mathematical physics |
| url | https://doi.org/10.5281/zenodo.18543595 |