Alexander Y. Kamenshchik, Serena Manti
We have studied a relation between the cosmological singularities in
classical and quantum theory, comparing the classical and quantum dynamics in
two models possessing the Big Brake singularity - the model based on a scalar
field and one based on a tachyon field model. It was shown that in the tachyon
model, the wave function of the universe is not obliged to vanish at the values
of the variables, corresponding to the appearance of the classical Big Brake
singularity. There is some kind of a classical - quantum correspondence,
because as it was shown before, in the classical cosmological tachyon model
exists an infinite one-parameter set of the cosmological evolutions,
encountering and crossing the Big Brake singularity. In all the other cases -
the Big Brake singularity in the scalar field model and the Big Bang and the
Big Crunch singularities in both the tachyon and scalar field models we have
observed the phenomenon of the quantum avoidance of singularities. It
corresponds to the degeneration of the corresponding cosmological trajectories
in classical theory.
View original:
http://arxiv.org/abs/1202.0174
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