Three-Mode Spatial Template from Sephirotic Topology Predicts Gravitational Wave Post-Merger Decay with Zero Free Parameters
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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.
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Topics
Keywords
- Eigenvalues and eigenvectors
- Exponent
- Gravitational wave
- Zero (linguistics)
- Topology (electrical circuits)
- Detector
- Exponential decay
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