Abstract:
Some reasonings are presented that the problem of a singularity in general relativity with the
problem of freezing of the 5th dimension can be connected. It is shown that some solutions in the
5D Kaluza-Klein gravity with the cross section in the Planck region have a region ( lPl) where the
metric signature changes from {+,−,−,−,−} to {−,−,−,−,+}. The idea is discussed that such
switching can not occur following some general point of view that the Planck length is the minimal
length in the nature and consequently the physical quantities can not change very quickly in the
course of this length. In this case the dynamic of the G55 metric component should be frozen.
