On the behavior of the bounds of the holographic theory for massive and massless particle systems

The aim of this paper is to analyze the meaning of the entropy bounds of the holographic sector once tested for statistical ensembles of particles, in order to deeply investigate the nature of these constraints and their mutual links. From the universal entropy bound (UEB) simple time constraints can be argued, which are manifestations of the discrete nature of the spacetime and of the presence of ultimate spacetime scales. From the combined effort of the UEB and of the Holographic bound by 't Hooft and Susskind, an entropy density bound as a function of temperature is achieved.