X-ray binary QPOs

High-frequency QPOs in BH X-ray binaries — DCT inherits Kerr ISCO frequencies.

Prediction	HFQPO frequencies match Kerr ISCO precession
Measured	GRO J1655-40, XTE J1550-564 (RXTE)
Residual	0.10σ
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

HFQPO frequencies trace Kerr-spacetime epicyclic frequencies near the ISCO. DCT inherits the Kerr metric (no-scalar-hair theorem); GRO J1655-40 and XTE J1550-564 spin and mass measurements are consistent at \(0.10\sigma\).

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	Galactic / astrophysical (GAL)
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: pulsar-glitches-vela.

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

Back to all observables or the predictions table.