Observable detail · GAL
SPARC RAR (175 galaxies)
| Prediction / mechanism | Mean \(\chi^2/N = 0.97\) over 175 SPARC galaxies fitted with the single Avrami P(g) profile and no per-galaxy free parameter. |
|---|---|
| Measured | Lelli–McGaugh–Schombert 2016 SPARC database (175 galaxies). |
| Residual / status | HIT — \(\chi^2/N = 0.97\) |
| Status | HIT |
| Source paper | DCT-DM-01 |
Mechanism
Avrami profile \(P(g) = 1 - \exp(-\sqrt{g/g_\dagger})\) with \(g_\dagger\) from canonical constants; reproduces the radial-acceleration relation.
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: sparc_galaxy_rotation_curves.py. Run with python3 sparc_galaxy_rotation_curves.py to reproduce the canonical DCT result against the public-archive measurement source listed below.
Cross-references
Related observables: g-dagger · baryonic-tully-fisher · faber-jackson · fundamental-plane.
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
- Lelli, McGaugh, Schombert 2016
- Source paper: DCT-DM-01
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