THE SOLUTIONS OF EQUATIONS OF GRAVITATIONAL FIELD FOR QUANTUM QUASI-EQUILIBRIUM COOLING DOWN GASES The quantum equation of gravitational field have been found, the solutions of which set the spatial distribution of gravitational radius of matter in its every new gravithermodynamic (GTD) state with the polynomial function with the next more high degree. The indicator of the degree of this function of continuously cooling down matter can successively take only integer and semi-integer values. That is why the process of cooling down of the whole GTD-bonded matter is the quantum process that is caused by its spontaneous transition to the polynomial function with more high value of degree and, therefore, to the next quantum state. Due to the fact that the whole gravithermodynamically bonded matter forms the collective spatial-temporal microstates (Gibbs microstates) the spatial integration of equations of gravitational field has the physical sense only for the specific moment of intrinsic time of matter and only in the (inseparable from it) intrinsic space. Exactly the cardinal absence of the velocity of motion of matter in integrated equations makes the problem of relativistic invariance of thermodynamical parameters and potentials of matter non-actual. Since in quasiequilibrium cooling down clusters of homogenous gas the functions of time  and of rigidly related to cooling down gas radial coordinate  () perform the time-like gas parameter  and the indicator of hierarchic complexity of gas  correspondingly, the spatial integration of equations of its gravithermodynamic state should be performed for the same value of parameter while the temporal integration should be performed for the same value of indicator of hierarchic complexity of any concrete microvolume of the gas. Given this, the gas cluster that is cooling down in quasi-equilibrium can be matched in general relativity (GR) to thermodynamic frame of references (FR) that corresponds to Schwarzschild parameters of ... Читать далее