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2.3  The mystery of the cosmological constant

Few terms in physics have ever been disputed as long as the cosmological constant L, introduced in 1917 and later abandoned again by Einstein. The discussion about its physical meaning later had a vehement revival, when the quantum field theory interpreted it as a measure for the vacuum energy.Until now, however, there exists neither a satisfying term definition for the cosmological constant, nor an explicit statement of its numerical value. The cosmologists request a L value that differs from zero, mainly because they believe to be able to solve the problems of the plane space- time and of the world age hereby.
It has been tried to calculate a numerical value for the energy density of the vacuum and by this for the cosmological constant, by means of the quantum field theory. But this value differs extremely (by the factor 10 120!) from the vacuum energy density which would be in accordance with astronomical observations.
It is assumed that a much more basic problem hides behind this discrepancy.
Probably, the mystery of the cosmological constant therefore is rated so high in the theoretical physics [7], p. 186:
„for the physicists, the problem of the cosmological constant is on the very top of the list of undisclosed  mysteries in science".

2.4  Unification of natural forces

As already mentioned before, it is hoped to find a mathematical model for the unification of all known natural forces
( electromagnetic, weak, strong and gravitational interaction), by means of the super string theory.
[3], p. 220: The super string theory leads us back to the origin of time, when all cosmic forces were completely symmetrical and represented a primary super force."
According to the super string theory, the first symmetry fractioning took place at the Planck time, when the universe was about  10 -43  seconds old, and the gravitation was the first to separate from the remaining natural forces. By later symmetry fractioning, the other natural forces also became independent.
( see fig. 1 on p. 10)
In 1968, the theorists Weinberg, Salom and Glashow succeeded to unify the electromagnetic with the weak force into the electro weak force, on the basis of the calibration symmetry - the Yang-Mills-Theory. Since then, no major progress could be achieved. The unification of all natural forces received new impetus only in 1984 when Green and Schwarz introduced a super string model  which contained enough symmetry to exclude certain anomalies of earlier string theories. But even with this, the breakthrough could not be achieved.
 
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