PHYSICAL SINGULARITY IN THE REGULAR SPACE–TIME AND FUNDAMENTAL LENGTH

摘要

It is shown that formally regular solutions in 5D Kaluza–Klein gravity have singularities. This phenomenon is connected with the existence of a minimal length in nature. The calculation of the derivative of the G55 metric component leads to the appearance of the Dirac δ-function. In this case, the Ricci scalar becomes singular since there is a square of this derivative.