  Local universe measurements of the Hubble constant (H0) using SNe Ia with
Cepheids as calibrators yield a value of H0 which is in tension with the value
inferred from the CMB and other higher redshift probes. In ref. [1], the
authors proposed a rapid transition in the value of the effective Newtonian
gravitational constant G in order to alleviate the Hubble tension. The
transition point was chosen so as to only affect distance estimates to Hubble
flow SNe. However, in this study, the authors made the assumption that SNe Ia
peak luminosity $L$ increases with Chandrashekhar mass $M_c$. This hypothesis
contradicts a previous semi-analytic study of SN light curves in the presence
of G-transition [2] which found that $L\propto M_c^{-0.97}$. Motivated by the
results of refs. [1] and [2], we propose a hypothesis of a sudden recent change
in the effective G at an epoch which corresponds to a look-back distance
between $\sim$ 7 - 80 Mpc. A transition in G at these distances would affect
both our estimate of the distances to Cepheids in calibrator galaxies, as well
as to the Hubble flow supernovae. Upon fitting the observational data to this
hypothesis, we find three interesting results: (i) we find mild evidence for a
G-transition at 22.4 Mpc (73 million years ago) which is preferred (using
certain estimators) by the calibrator type Ia SNe data over no G-transition,
(ii) the H0 parameter inferred under this hypothesis is in good agreement with
the value obtained from the CMB for a 4% larger value of G at earlier times,
thus potentially resolving the Hubble tension, (iii) we obtain a fit to the
scaling relationship between SN peak luminosity $L$ and Chandrasekhar mass
$M_c$, as $L\propto M_c^{-1.68 \pm 0.68}$, which is in good agreement with the
prediction of the theoretical study of ref. [2]. We also discuss how other
probes could be used to verify this transition in the value of G.
