Observable detail · COSMOLOGY

SH0ES Cepheid H_0

pre-dictive win at 0.02σ

PredictionH_phys = H_E/√P_0 = 73.019 km/s/Mpc
Measured73.04 ± 1.04 (SH0ES)
Residual0.02σ
Statushit
Source paperDCT-COS-01

Mechanism

Jordan-frame Hubble constant: H_phys = H_E/√P_0 with H_E (Einstein-frame, Planck CMB inferred) = 67.36, P_0 = 0.851. Computes 67.36/√0.851 = 73.019 km/s/Mpc. Pre-dictive: this prediction was on record before the SH0ES central value drifted to 73.04 ± 1.04.

Derivation

Jordan-frame Hubble constant: H_phys = H_E/√P_0 with H_E (Einstein-frame, Planck CMB inferred) = 67.36, P_0 = 0.851. Computes 67.36/√0.851 = 73.019 km/s/Mpc. Pre-dictive: this prediction was on record before the SH0ES central value drifted to 73.04 ± 1.04.

The closed-form prediction is

$$ \text{predicted} = H_phys = H_E/√P_0 = 73.019 km/s/Mpc $$

against the measurement 73.04 ± 1.04 (SH0ES), giving residual 0.02σ.

Python verification

The verification script for this observable is cosmology_tests.py. Run it with python3 cosmology_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above (Riess et al. 2022 (SH0ES Cepheid + SN Ia ladder).).

References

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