Annu. Rev. Astron. Astrophys. 1988. 26: 561-630
Copyright © 1988 by . All rights reserved

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9.4. The Time Test of the Standard Model

Of the four tests discussed earlier [N(z), N(m), m(z), theta(z)], the time test for q0 is the only experiment devoid of direct evolutionary effects, making it the most promising (at the moment) to find q0 (or Omega0 if Lambda0 = 0). Adopting H0 = 42 ± 11 km s-1 Mpc-1 and T0 = 14.9 ± 2 Gyr (Sandage 1988a) gives

Equation

which is the close to the required 2/3 if Omega0 = + 1. The formal solution is

Equation 57 (57)

where the formal errors depend mostly on the large assigned error to H0. If we assign a smaller error and adopt H0 = 42 ± 6, then

Equation

Although the errors are still very large, there is now, for the first time, the astronomical possibility that Omega0 = 1 exactly, required by the inflationary cosmology of Grand Unification. It must be emphasized, however, that no claim is made here from the available data that Omega0 is 1, only that it is now possible that it could be so if H0 can be reduced, as here, to 42 and T0 shortened by ~ 15% below 17 Gyr. This does give agreement with the inflationary prediction from the time-scale test, whereas the earlier literature values on ages did not.

Equation 31 shows that the price to be paid is to believe that at least 99% of the matter in the Universe is dark. Such dark matter has not yet been detected, and its existence must remain an article of faith for the true believer in the standard model and its covering theory of Grand Unification.

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