Observable detail · COS
Pantheon+ \(w_0\), \(w_a\) posterior
| Prediction / mechanism | \(w_0 = -1.00\), \(|w_a| < 10^{-4}\); Pantheon+ posterior consistent with \(\Lambda\)CDM background. |
|---|---|
| Measured | Brout 2022 Pantheon+ compilation (1701 SN Ia). |
| Residual / status | Path I excluded at \(19\sigma\); canonical \(w_0 = -1\) consistent |
| Status | HIT |
| Source paper | DCT-COS-01 |
Mechanism
DCT background equation of state at late times is exact \(w = -1\) up to \(O(10^{-4})\) corrections; Path I (\(\varepsilon_0 = 0.063\)) is excluded at \(19\sigma\) by Pantheon+.
Derivation
The derivation chain follows the cluster paper DCT-COS-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 | Cosmology (COS) |
|---|---|
| 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: pantheon_supernova_analysis.py. Run with python3 pantheon_supernova_analysis.py to reproduce the canonical DCT result against the public-archive measurement source listed below.
Cross-references
Related observables: w-0 · w-a · pantheon-supernovae · desi-w0-wa.
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-COS-01) is the canonical source of the derivation chain.
References
- Brout et al. 2022 — Pantheon+
- Source paper: DCT-COS-01
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