Papers › Circular reasoning: Solving the Hubble tension with a non-π value of π
Circular reasoning: Solving the Hubble tension with a non-π value of π
Jonas El Gammal, Sven Günther, Emil Brinch Holm, Andreas Nygaard
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Recently, cosmology has seen a surge in alternative models that purport to solve the discrepancy between the values of the Hubble constant H₀ as measured by cosmological microwave background anisotropies and local supernovae, respectively. In particular, many of the most successful approaches have involved varying fundamental constants, such as an alternative value of the fine structure constant and time-varying values of the electron mass, the latter of which showed particular promise as the strongest candidate in several earlier studies. Inspired by these approaches, in this paper, we investigate a cosmological model where the value of the geometric constant π is taken to be a free model parameter. Using the latest CMB data from Planck as well as baryon-acoustic oscillation data, we constrain the parameters of the model and find a strong correlation between π and H₀, with the final constraint H₀ = 71.3 ±1.1 km/s/Mpc, equivalent to a mere 1.5σ discrepancy with the value measured by the SH0ES collaboration. Furthermore, our results show that π= 3.206 ±0.038 at 95 % C.L., which is in good agreement with several external measurements discussed in the paper. Hence, we conclude that the πΛCDM model presented in this paper, which has only a single extra parameter, currently stands as the perhaps strongest solution to the Hubble tension.
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