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5.3 The stability of the expanding universe
In section 4.5.3, it has already been expressed, contrary to the present teachings, the CTH enforces a plane universe
( Fig. 2, limit case III), as a stable state. The fact, we cannot, even with our most powerful telescopes, find the least distortions in the space- time  up to large distances, proves univocally, the universe must be Euclidean (plane), over large distances. This is also confirmed by the research satellite COBE, which found, the ripples in the background radiation  showed no distortions into any direction [14], p. 181. In my estimation, the experimental confirmation we today still live- even 15 billions of years after the big bang-  in a plane universe, is one of the most convincing presumptive evidences for the correctness of the CTH.

5.4 Star build-up rate
According to measurements performed by the Hubble space telescope, there are, at the borders of the observable universe, at least ten times as many low- luminous galaxies than in our cosmic vicinity [38]:
“The early universe was crowded by more- than- average blue galaxies having apparent, strong emission lines. From this can be concluded that they built up stars much faster than today’s galaxies, as only an extensive population of very hot suns is able to excite the gas within the system to such a strong luminosity. Such hot suns only exist for a relatively short period of some million years and therefore must have built up   incessantly, at that time.”
This high star build-up rate in the early universe resulting from observation coincides with the CTH, which also demands a higher star build-up rate for the past than for today: (M ~ t 2/3,  ~ t - 1/3 ).
The short duration of stars’ life in the early universe from today’s view also comes the way of the CTH, as at that time, the typical time t (cosmic time) was extended in relation to the now time: Dt /D t ~ t -1/3

5.5 Discrepancy between distance and red shift of  supernovae in far galaxies
Under the title: “Revolution in  the cosmology ”, a rather strange picture of the universe’s development was presented, based on the measurement of the space- time by means of  so- called 1a-  supernovae [40], p. 38 ff:
 “The finding:
Some billion years ago, the universe expanded slower than today. Therefore, contrary to present assumption, the expansion rate increases.
The observation:
The decisive indication to the increased expansion rate of the cosmos was given by supernovae in far galaxies, the observed maximum luminosity of which is a measure for their distance .”
According to this, the observed supernovae would be more distant than their red shifts indicate, or, resp. , their red shifts would be lower than their distance indicates.
 
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