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El Naschies Cantorian space–time and general relativity by means of Barbilians group. A Cantorian fractal axiomatic model of space–time

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: I. Gottlieb , M. Agop , M. Jarc

Editorial: 2004.


One builds the vacuum metrics of the stationary electromagnetic field through the complex potential model. There
are thus emphasized both a variational principle, independent on the Ricci tensor, and some internal symmetries of the
vacuum solutions. One shows that similar results may be obtained using the Barbiliants group. By analytical continuation
of a Barbilian transformation the link between the fixed points of the modular groups of the vacuum and the
golden mean U ¼ ð1=ð1 ţ UÞÞ ¼ ð
 1Þ=2 of eð1Þ space–time is established. Finally, a Cantorian fractal axiomatic
model of the space–time is presented. The model is explained using a set of coupled equations which may describe the
self organizing processes at the solid–liquid, plasma–plasma, and superconductor–superconductor interfaces.
 2003 Elsevier Ltd. All rights reserved.

Cuvinte cheie: numarul de aur, fractali, spatiul - timp fractalic // gold mean, fractals, fractal space–time