On Boundedness of Entropy of Photon Gas in Noncommutative Spacetime

Figure 1

Plot (a) of internal energy of photon gas against temperature for both the SR theory and the NC model. The dashed line corresponds to the NC model, and the solid line represents the corresponding quantity SR theory. The NC model results have been obtained numerically using Mathematica [35]. We have used the Planck units, and the corresponding parameters take the following values: , , , , and . In this scale, = 10000 K is the Planck temperature, (the plotting style has been adopted from [24]). Plot (a) is done for the entire temperature range, that is, from zero temperature to Planck temperature. But in plot (b) we have plotted the internal energy in a range from to = 3000 K so that it becomes clear where two graphs intersect each other.

(a)

(b)