Application of the General Analytic Approach Used for Modeling Transients in Open Thermodynamic Systems to Numerical Evaluation of Some Basic Quantum and Astrophysical Parameters

Based on the fundamental physical notions and the early developed general approach for analyzing a transient development in an open thermodynamic system, equivalence of the two formulations of the uncertainty principle in general physics was shown. Necessity of time quantum introduction proceeding from the uncertainty principle combined with the approach was grounded and an analytical formula to evaluate its numerical value was derived from the relation connecting uncertainties of energy and time. Using the approach, two ways for the obtained formula justification were proposed and numerically verified. Mandatory existence of the time quantum at beginning stages of the thermodynamic system evolution and its disappearing at the finishing ones was noted. Reciprocal dependence of the time quantum value on the energy of an open thermodynamic system is also emphasized that is in accordance with general physical notions. Coincidence was shown of the numerical data for some fundamental characteristics evaluated using the derived relations with