As we know, the strong nuclear force
is about 10 41 times stronger
than the gravitation force [26], p. 89, also see Fig. 7.
Since the gravitation force is (
and varies?) in proportion to the gravitation constant, it
must, according to the CTH, at the Planck time have been larger than today
by the factor (t1/tPL) 2/3
= (4,7 . 10 17/
5,4 . 10 -44 )2/3
» 10
41 i. e., it was identical with the strong nuclear force at
that time, as demanded by the Super string theory. This surprising result
even gains in fascination if we link the strength of both these forces
to their respective range of action.
The strong nuclear force Fs
has a range of action of re »
10
-15
m (Yukawa radius). As mentioned, its strength is by the factor 10
41 larger than that of today's gravitation force. The gravitation
force FG has an infinite range of action or, to be exact,
a range of action which comprises the total universe (R1 »
10 26 m). If we now multiply both forces
by their ranges of action re or, respectively, R then
we receive the surprising result (also see Fig. 7 below): Fs .
re
= FG . R
(8)
Therefore, at the Planck time, the
universe had approximately the size of an elementary particle ( also see
Fig. 7below).
Fig. 7: Strength and range of action
of fundamental natural forces
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