Entropy Bounds in R×S3 Geometries

摘要: Abstract Exact calculations are given for the Casimir energy various fields in R × S 3 geometry. The Green's function method naturally gives a result form convenient high-temperature limit, while statistical–mechanical approach low temperatures. equivalence of these two representations is demonstrated. Some discrepancies with previous work noted. In no case, even N =4 SUSY, ratio entropy to found be bounded. This deviation, however, occurs temperature, where equilibrium may not relevant. same methods used calculate and free transverse electric modes half-Einstein universe bounded by perfectly conducting 2-sphere.