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

Editorial: 2004.

Rezumat:

Abstract
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 Barbiliant
s 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
ffiffiffi
5
p

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