“…In these works, it was pointed out that a sub-nanoGauss pre-recombination magnetic field would induce additional baryon inhomogeneities, which would enhance the recombination rate, thereby changing the CMB spectrum in a way that would alleviate the Hubble tension. Refer-ence [78] derived updated constraints on the baryon clumping from data of CMB experiments, of about b < ∼ 0.5 at 95% confidence level, which can be translated into an upper limit on the pre-recombination magnetic field amplitude B rec < ∼ 0.1 nG. In addition, they derive a range b ∈ (0.16, 0.55) that is compatible with a value H 0 ≈ 70 km s −1 Mpc −1 , relieving the Hubble tension.…”