Cosmic Background Radiation Due to Photon Condensation

It is shown that a collection of photons with nearly the same frequency exhibits a Bose ”condensation” type of phenomenon at about 3K corresponding to a peak intensity at a wave length of about 0.4cm. This could give a mechanism for the observed Cosmic Background Radiation, and also explain some curious features. It is a curious circumstance that the substitution of the cosmic microwave background radiation photon number density in the formula for the BoseEinstein condensation of a relativistic gas gives a temperature of around 3K or Bose-Einstein condensation of the cosmic photon radiation takes place at about this temperature[1]. In this light we consider the following scenario: An assembly of photons, most of them having nearly the same frequency in or nearly in equilibrium. We now show that at a temperature of about 3K, a condensation takes place or conversely, corresponding to a microwave radiation of about 4mm. The interesting thing is that this derivation is independent of any cosmological model. Our starting point is the formula for the average occupation number for photons of momentum ~k for all polarizations[2]: 〈n~k〉 = 2 eβh̄ω − 1 (1) E-mail:[email protected]