These relations express analytically the effect of the interaction between the system and the experimental set up. Recently, the definition of time has been introduced by considering an analysis of photon-atomic-electron interaction, in relation to the irreversibility based on an engineering thermodynamic viewpoint . Time is conjectured to be related both to the entropy production and to the entropy production rate: this result agrees to the approach of Planck and Einstein, who have pointed out that the law of system evolution is precisely the law of evolution of entropy . The problem to link the macroscopic approach to the microscopic one is of interest in the various physical problems; indeed, it has been pointed out that macroscopic and microscopic approaches are two complementary tools , for studying the complex problems, where both the approaches coexist [5-7], as, for example, the relations between quantum mechanics and classical physics, matter-radiation interaction, electrodynamics of the Wheeler-Feynman model, nanothermodynamics, etc.