axil : So far we only have experimental prove for LENR. Theories with no experimental backing are not worth to be discussed.
The paper you mention is interesting for cavity based LENR in a classical Rossi like setup but all experiments I looked into a year ago are at very low pressure. This is a prerequisite if you understand the Bose-Einstein formula. This also explains that extrapolating any temperature is not quite easy and just mathematical...
When Alan runs his plasma tube experiment with the foil sparking away, he will find a very high temperature in that foil. Alan should have reported that foil temperature when he described that experiment...that is... if that experiment was finalized.
By the way, Alan, what was the temperature of that sparking foil?