Let there be light:

The H Universe:

\(H_0^2=\frac{4\pi G\rho}{3}\)

In the Friedmann universe (GR) there is the constant k in addition and also half the mass density prediction of the New Universe. When taking into account relativistic mass the k factor cancels out in the derivations as demonstrated, also I see no need for a cosmological constant and other fudge factors, in particular not as my model predictions give perfect match to supernova observations (without any tweak parameters), dark energy is fake energy. So my equation is not for a special case of the universe (the critical universe), it is for the One and only Universe!

Albert abandoned relativistic mass after invention of Minkowski space time. Well he had derived it wrong in end of his 1905 paper. Also Lorentz had got it correct already in 1899.

Taking into account relativistic mass leads to that a series of issues in astrophysics and cosmology gets much simpler and more logic (or actually just logic), first paper of several papers on this.