If a Universe is formed from a near inexhaustible supply of celestial material, then at the 3a_u criterion (2.7) will still apply, but, also a_u can be expressed as

s"_u is the radius of the Universe at the 3a_u criterion.

r"_u is the average density of the Universe with a boundary radius of s"_u .

In [3] a_u for the home Universe was estimated at 4.47 x 10²⁷ cms. From (A.1), using this figure s"_u works out to be 13.41 x 10²⁷ cms. Substitution of this figure into (A.2) then gives for r"_u the figure of 5.97 x 10^-30 gms/cm³.

Now, using the above figures for r"_u and s"_u in the standard formula for the mass of the Universe gives m_u = 6.03 x 10⁵⁵ gms. This value is the same as that estimated in [3] from a consideration of factors associated with the cosmological time of applicability of modern observations, i.e. t_c = 9 billion years from the point of inflexion. In view of this comparative agreement, the consequence is that the home Universe was formed from a near inexhaustible supply of celestial material in the greater Cosmos.

The value of r"_u , the average density of the Universe at the 3a_u criterion, is seen to be some 3 1/ 2 times smaller than that estimated in [3] at t_c. Comparative radii and average densities are summarised in the following table.

Table A1 shows that the expansion of the home Universe at t_c in Phase II has only reached some 50% of the distance to the point where s_u = 3a_u .

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