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Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Power-Law Post-Merger Decay in Gravitational Wave Signals: Evidence for Fractional Dynamics Across Three Gravitational Regimes

Authors: Freeman, Carlos W.;

Power-Law Post-Merger Decay in Gravitational Wave Signals: Evidence for Fractional Dynamics Across Three Gravitational Regimes

Abstract

We analyze post-merger gravitational wave signals from 486 events in the GWOSC catalog, identifying 109 measurements meeting quality thresholds (SNR >= 4.0, valid merger identification). Comparing exponential decay (standard GR ringdown) against power-law decay predicted by an 11-field coupled PDE framework with fractional Laplacian exponent alpha = 6/5, we find the coupled PDE model preferred in 73/109 measurements (67.0%, binomial p = 9.16 x 10^-5). The preference strengthens with signal quality: win rates increase from 63% (SNR 4-6) to 89% (SNR > 10). Combined with 88/124 galactic rotation curve fits (p = 1.68 x 10^-6) and solar-system GR recovery (epsilon < 1.15 x 10^-4), Fisher combined significance across 233 independent measurements reaches 5.8 sigma with zero free parameters. All code and data included for full reproducibility.

Keywords

power-law decay, gravitational waves, general relativity, coupled PDE, post-merger ringdown, LIGO, galactic rotation curves, fractional dynamics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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