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Results

This section presents the results of the final Protocol 1b run — ΛCDM, CPL and Ξosc fitted to Pantheon+SH0ES + DESI DR2 BAO. All numbers on these pages are read from the exported result files; the older Pantheon-only Protocol 1 is shown only through its figures (Corner Plots).

ProtocolProtocol 1b — Pantheon+SH0ES + DESI DR2 BAO
Data1,590 SNe (z > 0.01) + 13 BAO · N = 1,603
Sampleremcee · 100,000 steps × 96 walkers · burn-in 20,000
Fixedr_d = 147.09 Mpc
Statusv0.1.0 exploratory
Exploratory

v0.1.0 results. Read them together with Known Limitations.


Key results​

18.3
ΔAIC of ΛCDM
vs CPL (lowest AIC) · N = 1,603
1.94
ΔAIC of Ξosc
vs CPL · χ² lowest: Ξosc
0.185
Oscillation amplitude ε
+0.077 −0.087 · prior 0 < ε < 0.3
2.26σ
ε / σ_ε (symmetrised)
descriptive ratio, not a detection

Model comparison​

Modelχ²kAICBICΔAIC
CPL1531.82441539.8241561.3430.000
Ξosc1529.76361541.7631574.0411.939
ΛCDM1554.16521558.1651568.92418.341

Ranking, definitions and limits: Model Comparison.


Reference figures​

◎
Ξosc posterior (corner plot)
Posterior
Ξosc posterior (corner plot)
Protocol 1b · Pantheon+SH0ES + DESI DR2 BAO
◎
Reconstructed w(z) from posterior medians
w(z)
Reconstructed w(z) from posterior medians
Protocol 1b · ΛCDM, CPL, Ξosc · title in French
◎
Normalised BAO residuals
Residuals
Normalised BAO residuals
Protocol 1b · DESI DR2 · labels in French

Cross-references​

Related pageRelation
Parameter ConstraintsMedians and 16–84% intervals for all three models
Corner PlotsPosterior shapes, Protocol 1b and Protocol 1
Ξosc Oscillation Diagnosticε, T, φ₀ and prior limits
Known LimitationsWhat the results cannot support