On the state of superdense configurations

Abstract

During gravitational compression of superdense astronomical objects the rest mass of the component particles of the object is a variable quantity and is determined along with the other parameters of the system from the condition of equilibrium. The theory of such systems should begin from the symmetry of the formE ²-p ²₁ -p ²₂ -p ²₃ -m²= 0,p ₅=m, c=ħ=1. For this reason the dimension of the phase space should be enlarged from six to seven. In this paper the fundamental thermodynamic quantities of an equilibrium system in a seven-dimensional phase space are defined, and several examples of their application are considered for the equation of state of a degenerate Fermi gas in a seven-dimensional phase space. It is shown as a separate question in the statistical theory of multiple creation of particles, that the fluctuations of the thermodynamic quantities in such a system are large ΔA/A ∼ 1, and gravitational condensation in an expanding Friedman universe is discussed.