Are the oldest stars too old for a Hubble constant of 0.73?

This text mentions work from 2024 on. Those parts were partly written without a live literature search and have not been checked by an editor yet.

In plain words

The universe cannot be younger than its oldest stars. A faster expansion rate implies a younger universe, so precise ages of the oldest stars test which Hubble constant is right.

Precise statement

In flat LCDM the age is $t0 = 13.8\,\mathrm{Gyr}$ for $h = 0.674, \Omega_m = 0.315$ and about $12.9\,\mathrm{Gyr}$ for $h = 0.73, \Omega_m = 0.3$, while the oldest globular clusters, metal-poor stars and white dwarfs give ages near $13.3\text{ to }13.6\,\mathrm{Gyr}$ plus a formation delay of order $0.2\,\mathrm{Gyr}$. Determine whether these ages exceed the age allowed for $h = 0.73$ at more than $3\sigma$, with distance, reddening, alpha-element and stellar-physics systematics below $0.3\,\mathrm{Gyr}$. Cimatti and Moresco (2023, arXiv:2302.07899) obtained $h < 0.706$ from the most accurate ages.

What would settle it

Globular-cluster ages from Gaia distances and JWST photometry with full stellar-model error budgets, cross-checked with white-dwarf cooling ages.

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