I recieved this personal email which is really related to this topic so I have posted the mail and the reply here

I read your response to a question about the temperature of a singularity at

http://www.thenakedscientists.com/forum/index.php?topic=36265.0. The question pertained to ever increasing temperature. I tend to look at the situation from a different standpoint--I'm just an interested novice. A singularity is supposed to have so much gravity that even atoms are crushed. If the the protons, neutrons, and electrons were crushed they would no longer move and there would be no energy. Without energy, wouldn't the core of a singularity be at absolute zero?

Sincerely,

Dave Creamer

Temperature is not a function of the space available for movement but the energy (velocity) of the particles that are moving. The concept of a mathematical "singularity" is as invalid as the concept of a mathematical "infinity" when talking about physical things. Whatever happens there is always room to move even if this is less than the planck limits. However it is clear that when this happens some significant changes will take place and the formation of another "big bang" is a distinct possibility.

Roger Penrose in his latest book "Cycles of Time" shows that how in a vastly expanded ancient universe consisting solely of radiation the concepts of scale and time are lost and suggest that it is then quite possible to have conditions matching the big bang in his Conformal Cyclic Cosmology. To my mind the same thing could happen when gravitational collapse happens. If everything was forced to become pure energy scale space and time would also be lost. However he tends to dismiss this idea in his book by saying that it is turbulent and not like the smooth big bang. I disagree and suggest that if he modelled the idea properly he would see that as you suggest the extreme compression would quite quickly force everything to become smooth and coherent energy just like his description of the conditions after googles of years of expansion.