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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.19123861 |
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Table of Contents:
- <p>Gravitational wave astronomy has entered a precision era. LIGO and Virgo detected approximately 90 compact binary merger events in their first three observing runs, and the fourth observing run (O4) added over 250 candidates. This paper presents the FIGID framework's predictions for gravitational wave signals and identifies where those predictions agree with general relativity, where they differ, and what observations would distinguish between them.</p> <p>During inspiral, merger, and ringdown, FIGID and general relativity make identical predictions --- including quasi-normal mode frequencies, which are set by the peak of the effective potential outside the horizon using the same dynamic metric in both frameworks.</p> <p>The distinctive FIGID prediction is post-ringdown echoes. The FIGID field potential V(ρ) contains a divergent barrier at the field density floor ρ₀/2, which makes the event horizon a near-perfect reflector for classical perturbations rather than a perfectly absorbing boundary. Version 3.0 extends the echo prediction with a frequency-dependent reflection coefficient R(f) = 1 − exp(−f₀/f), derived from the WKB solution to gravitational wave scattering off the Coulomb-like barrier near the horizon. This predicts that echoes are strongest at low frequencies, with a characteristic reflection frequency f₀ ≈ 26 Hz for a GW150914-like remnant and f₀ ∝ M, implying near-perfect reflection for supermassive mergers in the LISA band. A proof-of-concept analysis of publicly available GW150914 strain data confirms that single-event echoes at the predicted amplitude are below the noise floor (SNR ≈ 0.07), consistent with the prediction that coherent stacking of O(10²) events or next-generation detectors is required for detection.</p> <p>A second testable difference appears at neutron star mergers: a 2.2% surface gravity difference propagating into tidal deformability signatures. Gravitational redshift, by contrast, matches GR exactly --- serving as a consistency check that confirms the static/dynamic distinction.</p>