PHYSICAL SINGULARITY IN THE REGULAR SPACE–TIME AND FUNDAMENTAL LENGTH

2007

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DOI 10.1142/s0218271807008638
Data confidence 85 high
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Abstract

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.