On the Holographic Principle in a Radiation Dominated Universe

摘要: The holographic principle is studied in the context of a $n+1$ dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. represented by conformal field theory with large central charge. Following recent ideas on holography, it argued that entropy density early universe bounded multiple Hubble constant. CFT expressed terms energy and Casimir via universal Cardy formula valid for all dimensions. A new purely bound postulated which restricts sub-extensive associated energy. Unlike bound, remains throughout cosmological evolution. When saturated Friedman equation exactly coincides formula, temperature uniquely fixed parameter its time-derivative.