Abstract
We derive the physical form of the clustering parameter on rigorous mathematical grounds from two approaches. One result is a direct consequence of the solution of a differential equation and the other follows from the calculation of thermodynamic metric elements using Riemannian Geometric approach. Both these approaches lead to the same physical form of the clustering parameter as hypothesized in the Gravitational Quasi-Equilibrium Distribution (GQED) theory. These results lend a strong support to GQED theory and its successor: the statistical mechanical description of the cosmological many-body problem.
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