Observable detail · GAL

Globular-cluster velocity dispersion

Prediction / mechanism	Constant-\(P_0\) kernel reproduces GC velocity dispersions.
Measured	Harris GC catalogue.
Residual / status	HIT
Status	HIT
Source paper	DCT-DM-01

Mechanism

Constant-\(P_0\) kernel applied at GC scales (well above MOND scale).

Derivation

The derivation chain follows the cluster paper DCT-DM-01 and reduces to the canonical DCT constants (\(P_0 = 0.851\), \(\omega_0 = 50{,}037\), \(c_{BD} = 138{,}189\), master identity \(2\omega_0 + 3 = c_{BD} \cdot P_0^2 = 100{,}077\)). See the cluster paper for the full multi-line derivation.

Methodology

Domain	Galactic / astrophysical (GAL)
Input data source	See "References" below for the canonical public-archive citation.
Measurement procedure	The measured value used here is the most recent peer-reviewed central value plus 1σ uncertainty from the cited reference.
Acceptance threshold	HIT: residual within 1σ of measurement. SOFT: directional agreement 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 verdict pill above.

Python verification

Verification script: astrophysical_tests.py. Run with python3 astrophysical_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed below.

Cross-references

Related observables: t-univ-avrami · satellite-sigma-v.

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

Audit notes

This sub-page is part of the post-build-out of the observable archive (see the observable index). Verdict reflects the corpus-canonical (constant-\(P_0\)) treatment. The cluster-paper deep-link above (DCT-DM-01) is the canonical source of the derivation chain.

References

Harris 2010 — GC catalogue
Source paper: DCT-DM-01

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