Stellar-mass black holes

Stellar-mass black holes — DCT inherits Kerr metric exactly.

Prediction	Kerr metric inside the horizon; \(M\)–\(a\) measurements consistent with GR
Measured	LMXB and HMXB Kerr-spectrum fits (>20 systems)
Residual	0.00σ
Status	PASS
Source paper	DCT-SBD-01

Mechanism

DCT recovers GR exactly in the strong-field limit and reduces to the standard general-relativistic prediction. The 600-cell topology does not enter at strong-field; the no-scalar-hair theorem locks \(P = 1\) inside the horizon and leaves the GR observables invariant.

Derivation

Each stellar-mass BH \(M\)–\(a\) measurement (continuum-fitting + Fe Kα reflection) fits a Kerr spectrum; DCT inherits the Kerr metric through the no-scalar-hair theorem. Joint sample over >20 systems is consistent at \(0\sigma\).

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 · ns-mmax-j0740.

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

Particle Data Group 2024
Source paper: DCT-SBD-01

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