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4.4  Gravitation constant decreasing with time

G ~ t – 2/3   ® GM = const.       (8)
The idea of a “gravitation constant” that decreases with time is not new, as well.
It had been postulated by Paul Dirac in 1937 already  [21].
Dirac wondered, the relation between the attraction force of an electron and a proton, based on their electric charge ± e and that based on their masses  me and mp  (Fe/FG = m2/memp G = N1 » 10 39 ) is in the same range of magnitude as t1/te = N2
» 10 41 (t1» R1/c = today’s world age, te = re/c = time the light needs to travel the elementary length re  [22], p. 306.
While N1 , according to  conventional physics, is constant, N2 measures the scale of the universe, and since the universe expands,  N2 increases with the time. Dirac did not believe, the equality of  N1» N2 is only accidental, but assumed a fundamental physical relation to hide behind this.
In order to make N1 always to equal N2 , he developed the „Large Numbers Hypothesis“, which demanded a „gravitation constant” decreasing with time (G ~ t -1) .

When regarded closely, the „fitting accuracy“ of the Dirac hypothesis appears to be quite coarse (N1» 10 39, N2 » 10 41.
If we link, however, contrary to Dirac, instead of the electric force Fe , the strong nuclear force Fs to the gravitation force FG  , then we receive a surprising, absolutely exact equality (N1= Fs/FG = 10 41, N2 = 10 41).
By the CTH, the probability, a fundamental principle of nature hides behind the equality of   N1 = N2 , thus grows considerably when compared to the Dirac hypothesis, and an accidence can therefore well be excluded. (see following table).

Table 1: Large Numbers Hypothesis acc. to Dirac and CTH
( t PL= Planck time, RPL= world radius at Planck time = re
1) For details, see Fig.  8
 
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