Hubble time dilation

The Hubble time dilation is a hypothetical effect of accumulation of time dilation (in curved space) with distance from observer, so for small distances it looks roughly propotional to the distance. The exact effect is

$d\tau /dt=exp(-r/R_{s})$,

where $\tau$ is proper time at event in deep space (time of deep space), $t$ is coordinate time of the event (time of observer), $r$ is distance to the event in deep space from observer, and $R_{s}$ is radius of curvature of space (called by cosmologists Einstein's radius of universe or $R_{E}$). The above equation implies that the Hubble constant of our universe equals

$H_{o}=c/R_{s}$,

where $c$ is speed of light in vacuum and $R_{s}$ is radius of curvature of space (about 13 billion light years). When this Hubble constant, being in reality an exponential function

$H(r)=Z/r=[exp(r/R_{s})-1]/r$,

where Z is observed redshift of deep space galaxy, r is distance to this deep space galaxy, is split into Taylor series around $r=ct=0$ it simmulates an accelerating expansion of space as observed in 1998 with accuracy to one standard deviation (maximum available accuracy of observation confirming an astronomical oservation as consistent with theory) as

$dH/dt=-H_{o}^{2}/2$,

where $dH/dt$ is change of Hubble constant with distance in time units $t$, and $H_{o}$ is Hubble constant itself.

This result has been then taken for the action of "dark energy" since news about gravitation demystified were not published since February 1985 when the fact that our universe is stationary has been discovered through never done before, simple, Newtonian calculation of redshift in stationary universe of density approximately

$6\times 10^{-27}kg/m^{3}$

as explained in gravitation demystified article.