One more fitting (D=5) of Supernovae redshifts

Supernova Ia redshifts are fitted with a simple \(5D\) model: the galaxies are assumed to be enclosed in a giant \(S^3\)-spherical shell of significant thickness, which expands (ultra)relativisticaly in Minkowski (1+4)\(D\)-space. This model, as compared with the kinematic (1+3)\(D\) Milne cosmological model (which was reinvented by Prof Farley), goes in line with the Copernican principle: any galaxy observes the same isotropic distribution of distant galaxies and supernovae, as well as the same Hubble plot of SN Ia distance modulus \(\mu\) vs redshift \(z\). A good fit is obtained (no free parameters); it coincides with the Milne model (empty model) at low \(z\), while shows some more luminosity at high \(z\), leading to 1% decrease in the true distance modulus (and 50% increase in luminosity) at \(z\sim2\). The model proposed can be also interpreted as a sort of FLRW-model with the scale factor \(a(t)=t/t_0\); this could hardly be a solution of general relativity (without inventing some super-dark energy with \(w=-1/3\), a sort of dark curvature); 5\(D\) GR is also unsuitable -- it has no longitudinal polarization. However, there still exists the other theory (with \(D=5\) and no singularities in solutions), the other game in the town, which seems to be able to do the job.