Superhorizon Perturbations: A Possible Explanation of the Hubble–Lemaître Tension and the Large-scale Anisotropy of the Universe

Abstract Current cosmological observations point to a serious discrepancy between the observed Hubble parameter obtained using direct versus cosmic microwave background radiation measurements. Besides this so-called Hubble–Lemaître tension, we also find considerable evidence in diverse observables that indicate violation of principle. In paper, suggest both these discrepancies are related and can be explained by invoking superhorizon perturbations universe. We implement considering single mode showing it leads dipole large-scale structures shift parameter. Furthermore, is found independent redshift up certain distance. This nicely consistent with data.