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If a Universe is formed from a near inexhaustible supply of celestial
material, then at the 3au criterion (2.7) will still apply,
but, also au can be expressed as
s"u is the radius of the Universe at the 3au criterion.Substitution of (A.1) into (2.7) yields after minor reduction
r"u is the average density of the Universe with a boundary radius of s"u . In [3] au 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 mu = 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. tc = 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 3au criterion, is seen to be some 3 1/ 2 times smaller than that estimated in [3] at tc. Comparative radii and average densities are summarised in the following table.
Table A1 shows that the expansion of the home Universe at tc in
Phase II has only reached some 50% of the distance to the point where
su = 3au .
C3 Version 1.0.1
Ó
P.G.Bass, March 2006
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