Superhorizon perturbations: A possible explanation of the
  Hubble--Lema\^itre Tension and the Large Scale Anisotropy of the Universe
  Current cosmological observations point to a serious discrepancy between the
observed Hubble parameter obtained using direct and cosmic microwave background
radiation (CMBR) measurements. Besides this, the so called Hubble--Lema\^itre
tension, we also find considerable evidence in diverse cosmological observables
that indicate violation of the cosmological principle. In this paper, we
suggest that both these discrepancies are related and can be explained by
invoking superhorizon perturbations in the Universe. We implement this by
considering a single superhorizon mode and showing that it leads to both a
dipole in large scale structures and a shift in the Hubble--Lema\^itre
parameter. Furthermore, the shift is found to be independent of redshift up to
a certain distance. This is nicely consistent with the data.
