A modest proposal to solve the "missing mass" problem and related cosmological paradoxes

Abstract

Properly interpreted data from nearby galaxies $(z\simeq 0.01)$ lead to $Ω\simeq 0.082$. Data from farther away galaxies $(z\simeq 1)$ with type Ia supernovae to $Ω=0.153$. Data to be expected from very high redshifted galaxies $(z\simeq 10.1)$ to $Ω=0.500$. And actual data from the CBR, emitted at the time at which the universe became transparent $(z\simeq 1422)$ to $Ω\simeq 0.992$. All these data are simultaneously consistent with the standard big-bang picture (no inflation), in which $ Ω$ is time dependent and it is given by $Ω(y)=1/\cosh ^{2}(y)$, being $y\equiv \sinh ^{-1}(T_{+}/T)^{1/2}$