20.500.12556/DKUM-51437 On a connection between the VAK, knot theory and El Naschie's theory of the mass spectrum of the high energy elementary particles Povezava med VAK-om, teorijo vozlov in El Naschievo teorijo masnega spectra visoko energijskih elementarnih delcev Uvedemo teorijo Cantorjevega prostor-časa. V tej teoriji je vsak delec možno interpretirati kot razcep nekega drugega. Nekateri delci so razcepni s protonom in so izraženi s ▫$phioverline{alpha_0}$▫. Če sledimo idejam El Naschieja so limitne množice Kleinove grupe Cantorjeve množice, s Haussdorffovo dimenzijo ▫$phi$▫ ali ▫$frac{1}{phi}, frac{1}{phi^2}, frac{1}{phi^3}...$▫ Z uporabo E-neskončne teorije je masni spekter elementarnih delcev, kot funkcija zlatega reza, v limitni množici Mobius-Kleinove geometrije kvantnega prostor-časa, kot je bilo obravnavano pri Dattu. In this paper we give an introduction to the ▫$varepsilon^{(infty)}$▫ Cantorian time-space theory. In this theory every particle can be interpreted as a scaling of another particle. Some particles are a scaling of the proton and are expressed in terms of ▫$phi$▫ and ▫$bar{alpha}_0$▫. Following the VAK suggestion of El Naschie, the limit sets of Kleinan groups are Cantor sets with Hausdorff dimension ▫$phi$▫ or a derivative of ▫$phi$▫ such as ▫$1/phi$▫, ▫$1/phi^2$▫, ▫$1/phi3$▫, etc. Consequently, and using ▫$varepsilon^{(infty)}$▫ theory, the mass spectrum of elementary particles may be found from the limit set of the Möbius-Klein geometry of quantum space-time as a function of the golden mean ▫$phi = (sqrt{5}-1)/2 = 0.618033989$▫ as discussed by Datta (Chaos, Solitons and Fractals 17(2003)621-630). E-neskončna teorija Hausdorffova dimenzija Cantorjeva množica Mobius-Kleinova transformacija E-infinity theory Haussdorff dimension Cantor set Mobius-Klein transformation true false false Angleški jezik Neznan jezik Delo ni kategorizirano 2015-07-10 14:46:51 2015-07-10 14:46:51 2022-05-30 03:05:50 2019-07-11 07:18:58 2004 0 0 str. 471-478 iss. 3 Vol. 19 2004 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.938:53 170011 8332310 0960-0779 URN:SI:UM:DK:IOKUTSA3 http://dx.doi.org/10.1016/S0960-0779(03)00253-4 1 https://dk.um.si/Dokument.php?lang=slv&id=75997 Fakulteta za strojništvo 0 0 0