ε(∞) Cantorian space-time, polarization gravitational field and van der Waals-type forces

• Published in: Chaos, solitons and fractals solitons and fractals, 2003-09, Vol.18 (1), p.1-16
• Main Authors: Agop, M., Ioannou, P.D., Nica, P., Buzea, C.Gh, Jarcau, M.
• Format: Article
• Language: English
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/S0960-0779(02)00633-1

Some abilities of the SRT theory in studying the polarization gravitational field are analyzed. Thus, one builds a set of Maxwell-type equations for the polarization gravitational field and one studies the behaviour of a gravitomagnetic charge in such fields on a fractalic space-time. One finds that the interaction between the gravitomagnetic charge and the polarization gravitational field reduces to the Van der Waals gravitational type dipole–dipole interaction. From the study of GMHD wave, on a fractal cosmological background it results that the speeds in the planetary and galactic structures are discrete and the Cantorian structure is induced by means of a Tifft and Cocke Cantorian effect (at least for the galaxy pairs NGC 4294–NGC 4299, NGC 4085–NGC 4088). By an iterated map, one gets an object which may be identified with a cosmic fractal string, whose 2D projection corresponds to a cosmic string.