LIGO high-frequency residuals

High-frequency null test of GR — DCT inherits GR at strong field.

Prediction	No residuals above the GR template at \(f > 200\) Hz
Measured	No statistically significant residuals (LVC GWTC-3)
Residual	N/A
Status	Tied
Source paper	DCT-SBD-01

Mechanism

DCT recovers GR strong-field exactly. Binary inspiral and ringdown waveforms inherit the GR quadrupole formula because the tie-field background is locked to \(P = 1\) inside the strong-field horizon (no-scalar-hair theorem). Orbital decay rates, ringdown frequencies, and post-Keplerian parameters all match the GR prediction to the precision of the data.

Derivation

Strong-field GR is recovered exactly: the no-scalar-hair theorem (DCT-SBD-01) locks \(P = 1\) inside the horizon, so binary-inspiral waveforms reduce to the GR quadrupole prediction. Post-Keplerian parameters and ringdown spectra inherit GR; the 600-cell topology does not appear at strong-field gravitational scales.

Python verification

The verification script for this observable is ligo_gravitational_wave_analysis.py. Run it with python3 ligo_gravitational_wave_analysis.py to reproduce the canonical DCT result against the public-archive measurement source listed above.

Methodology

Domain	Solar-system / strong-gravity (GR)
Input data source	See "References" below for the canonical public-archive citation. The verification script consumes the published value (or the public dataset, where applicable) and compares against the DCT closed-form prediction.
Measurement procedure	The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference; no internal recalibration is applied.
Acceptance threshold	HIT: residual within 1σ of measurement. SOFT: directional agreement, residual within bracketing range. OPEN: untested or unresolved.
Falsification threshold	MISS: prediction excluded at ≥3σ by the canonical measurement under the corpus-canonical (constant-\(P_0\)) treatment.
Current status	See the verdict pill in the prediction table above.

Cross-references

Related observables in the same domain: gwtc3-bbh · nanograv-gw-background.

Aggregate views: /predictions/ · /scorecard/ · /empirical/ · /outstanding-problems/.

Audit notes

Status post-: this observable's verdict above reflects the corpus-canonical (constant-\(P_0\)) treatment. Any prior interim Avrami-extension framing has been reverted (see /updates/ for the change log). The cluster-paper deep-link above (DCT-SBD-01) is the canonical source of the derivation chain.

References

GWOSC
LIGO GWTC-3
Source paper: DCT-SBD-01

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