Abstract
The absence of an Olbers paradox for neutrinos shows that the average neutrino luminosity must fall off as we observe older and more distant parts of the universe. Unlike the situation for light, the « paradox » could not be avoided by any kind of red shift, and hence puts a strong constraint on cosmological speculation. The ambient neutrino flux turns out to be finite in the modern steady state or evolutionary cosmologies, and is estimated at about 103 neutrinos/cm2 s. Taking absorption of neutrinos into account does not affect these remarks, except that in the oscillating cosmologies there must recur periods when neutrino absorption is faster than neutrino emission. It is estimated that the onset of neutrino absorption for an oscillating universe comes when it has contracted by a (linear) factor of about 105, and absorption might not lower the neutrino population very much until the contraction reaches about 1014.
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