APPENDIX A

Application to the Home Universe

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


au = s"u

3
(A.1)

where now

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 = c2

4pgs"u2
(A.2)

where

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 1.22E27 cms. From (A.1), using this figure s"u works out to be 3.66E27 cms. Substitution of this figure into (A.2) then gives for r"u the figure of 8.02E-29 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 = 1.65E55 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 a little over 31/2 times larger than that estimated in [3] at tc.

Comparative radii and average densities are summarised in the following table.

Point of Measurement PhaseRadiusAverage Density
3au Criterionsu = 3au I ® II3.66E278.027E-29
Point of Inflexionsu = 2au II2.44E272.71E-28
Cosmological Time of Modern Observationtc II5.7E272.1E-29

Table A1 - Radius/Average Density Comparison for the Home Universe.

Table A1 shows that the expansion of the home Universe at tc in Phase II has now reached some 56% beyond the point where su = 3au .

C3 Version 1.4.0
Ó P.G.Bass, May 2010

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