Infrared background radiation

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.

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