Three-Mode Spatial Template from Sephirotic Topology Predicts Gravitational Wave Post-Merger Decay with Zero Free Parameters

Indexed indatacite

Abstract

We analyze post-merger gravitational wave signals from 243 LIGO/Virgo/KAGRA events (486 detector measurements, 109 quality-filtered) using a three-mode power-law decay template derived from the spatial eigenvalues of the 11-node Sephirotic graph Laplacian. The graph, derived from first principles, has exactly three anti-symmetric (spatial) eigenmodes with eigenvalues λ₃ = 0.908, λ₆ = 6/5, and λ₁₀ = 1.542. At high signal-to-noise ratio (SNR ≥ 8), the combined template wins 8 of 8 events by Bayesian Information Criterion, with mean ΔBIC = -94.8 versus exponential decay. P(8/8) = 0.0039. Zero free exponent parameters — all three are topological invariants.

Citation impact

4
total citations
FWCI
62.16
Percentile
100%
References
0
Too recent for citation history.

Authors

1

Topics & keywords

Keywords
  • Eigenvalues and eigenvectors
  • Exponent
  • Gravitational wave
  • Zero (linguistics)
  • Topology (electrical circuits)
  • Detector
  • Exponential decay
No related works found for this paper.