One more fitting (D=5) of Supernovae redshifts

Abstract

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.