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

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Authors: Carlos Freeman
Cited by: 4

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.

Fields of Study & Subjects

Pulsars and Gravitational Waves Research Cosmology and Gravitation Theories Gamma-ray bursts and supernovae

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 March 2026