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The universe expands at the speed of light

The objects most distant from us which have been observed in the universe have a red shift  of z » 5.5, moving at more than
95 % of the light speed away from us. As the absolutely empty space- the true vacuum- has an energy density ev > 0 , the Theory of Relativity forbids expansion speeds > c. Therefore, we must start from the universe to expand exactly at
light speed( = c) [14]. By a simple model, the statement = c ~ t -1/3  is verifiable. Any form of energy ( also light) is subject to the gravitation force. A photon at the outer limit of the universe, flying radially, is braked by the total mass of the universe, by the brake force. ( fig. 3 on p. 12):

From this follows, with R ~ t 2/3 (2) the relation
         (4)
in this, the term    has the meaning of an acceleration 
With    results
                   (5)

Fig. 3: Variation of the „escape speed“ of the expanding universe in time.

It is interesting that the speed of light also can be interpreted as „cosmic speed of sound“, when the theory of the gravitational instability is applied to the total cosmos. ( see Annex I).
Lately, the possibility of a light speed varying with time is also deliberated by other scientists. Thus,  Andreas Albrecht from the University of California in Davis, John Barrow from the University Cambridge and Joao Magueijo from the Imperial College in London lately have developed the VSL-theory (varying-speed-of-light theory) which also postulates a light speed that decreases with time [15], p. 42: „ ... the most promising and most provoking alternative (to the inflationary model) well may be the theory of the variable speed of light or the VSL theory.”
 
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