1. Different Higgs models and the number of Higgs particlesLeila Marek-Crnjac, 2006, original scientific article Abstract: In this short paper we discuss some interesting Higgs models. It is concluded that the most likely scheme for the Higgs particles consists of five physical Higgs particles. These are two charged H▫$^+$▫, H▫$^-$▫ and three neutrals ▫$h^0$▫, H▫$^0$▫, A▫$^0$▫. Further more the most probably total number of elementary particles for each model is calculated [El Naschie MS. Experimental and theoretical arguments for the number of the mass of the Higgs particles. Chaos, Solitons & Fractals 2005;23:1091-8; El Naschie MS. Determining the mass of the Higgs and the electroweak bosons. Chaos, Solitons & Fractals 2005;24:899-905; El Naschie MS.On 366 kissing spheres in 10 dimensions, 528 P-Brane states in 11 dimensions and the 60 elementary particles of the standard model. Chaos, Solitons & Fractals 2005;24:447-57]. Keywords: mathematics, Higgs models, Higgs particles, Riemann tensor, Killing vector, minimal super symmetric standard model Published: 30.05.2012; Views: 1659; Downloads: 39 Link to full text |
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7. Structurally stable but chaotic limit set of E-infinity Cantorian space-timeLeila Marek-Crnjac, 2005, original scientific article Abstract: In the present work, first we give some definitions and theorems on hyperbolicmaps, structurally stability and deterministic chaos. The limit set of the Kleinian transformation acting on the E-infinity Cantorian space-time turned out to be a set of periodic continued fractions as shown in [Chaos, Solitons & Fractals, 21 (2004) 9]. That set has a hyperbolic structure and is structurally stable. Subsequently, we show that the appearance of transversal homoclinic points induces a chaotic behavior in that set. Keywords: mathematics Published: 01.06.2012; Views: 696; Downloads: 64 Link to full text |
8. Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-timeLeila Marek-Crnjac, 2007, original scientific article Abstract: In this work we present a summary about Platonic solids, specially about different dodecahedra. Kepler`s Conjecture and the Dodecahedral Conjecture are of a great importance in circle searching, specially in the Poincaré dodecahedron space as a cosmological model. Some properties of the 120-cell Coxeter polytop are presented. E-infinity Cantorian space-time may be regarded as a fuzzy version of a hyperbolic manifold based on the 120-cell Coxeter polyparticles in the standard model of high energy physics. Published: 01.06.2012; Views: 721; Downloads: 55 Link to full text |
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10. The maximum number of elementary particles in a super symmetric extension of the standard modelLeila Marek-Crnjac, 2007, original scientific article Abstract: In a series of papers over the last few years El Naschie addressed the question of the minimum and maximum number of elementary particles which a mathematically consistent and a physically meaning full extended standard model should contain. El Naschie's minimum is 62 particles namely 60 believed to have been already discovered in addition to one Higgs boson and one graviton which are theoretically needed but are not jet experimentally conformed. By contrast the maximum number of 69 particles is although consistent with many quantum field theories based models as well as a classical result by Dyson may not be the only possibility. In the present work we show that a larger number of 72 or even 84 particles are easily shown to be consistent with super string theory and super symmetry. Our work consists of two parts. The first part is a reappraisal of El Naschie's results and the second is a derivation of the proposed possibility of an upper bound of 72 or 84 elementary particles. Published: 01.06.2012; Views: 707; Downloads: 49 Link to full text |