Interpreting the red shift as half-life of photons of the light passing through the medium of colliding elementary units, the correlation of the frequency change to the distance:
nu = nu0/ 2^(R/Hd)
or
R=Hd*ln(nu0/nu)/ln(2)
Hd - Hubble wavelength doubling time (distance) / half-life of photons Hd = 4-4.5
bly (from Pioneer 10 excess red-shift). An evaluation of the nuclear sizes from
the conservation power and gravitational effects, considering the form of
collision patterns Hd = 4.234 Gyr
R - distance of emitter to the observer [light years].
nu0 - frequency of emitted radiation [Hz].
nu - frequency of observed radiation at R relative distance between the
observer and the emitter [Hz].
The emitted in UV range (1e14 Hz) radiation observed in infrared range
(1e12 Hz) results a distance between the source of radiation and the observer:
R [UV/IR] = 28 billion light years.
The picture of the sky in infrared background radiation range:

The red dots on the last picture could be originated 28 billion light years from us.
Here it is in full scale.
