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1.
Different Higgs models and the number of Higgs particles
Leila 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
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2.
The fundamental coupling constants of physics in connection with the dimension of the special orthogonal and injury groups
Leila Marek-Crnjac, 2007, original scientific article

Abstract: In this work, we show the connection between the coupling constants and the dimensions of special orthogonal and unitary groups. A derivation of the exact theoretical value of the fine structure constant from groups SU(3), SO(9) and the Betti number is found.
Keywords: mathematics
Published: 31.05.2012; Views: 708; Downloads: 10
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3.
On the vital difference between number theory and numerology in physics
Leila Marek-Crnjac, 2008, original scientific article

Abstract: The interrelation between pure mathematics and physics is very deep and intricate. It is similar to the duality between pure reason and reality. However, the difference between number theory and numerology when used in physics should be clear and easily sorted out. Confusion in this respect is not possible and while numerology must be deplored, number theoretical argument should be an integral part of theoretical physics.
Keywords: number theory, topology, numerology
Published: 31.05.2012; Views: 782; Downloads: 58
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4.
The exact number of elementary particles of a super symmetric standard model is (2)(137) = 274
Leila Marek-Crnjac, 2008, short scientific article

Abstract: The interrelation between pure mathematics and physics is very deep and intricate. It is similar to the duality between pure reason and reality. However, the difference between number theory and numerology when used in physics should be clear and easily sorted out. Confusion in this respect is not possible and while numerology must be deplored, number theoretical argument should be an integral part of theoretical physics.
Keywords: string theories, particles spectrum, Heterotic theory
Published: 31.05.2012; Views: 1550; Downloads: 49
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5.
Exceptional and semi simple Lie groups hierarchies and the maximum number of elementary particles beyond the standard model of high energy physics
Leila Marek-Crnjac, 2008, original scientific article

Abstract: In this work and following some major developments in our understanding of the connection between the exceptional Lie symmetry groups hierarchy and physics, we present finite and infinite dimensional Lie groups and their connections to the orthogonal and unitary groups. The dimension of the Lie group is included in the derivation of the number of elementary particle-likes uper states 576 and 672. Connections to the dimensions of Lie groups and the 72 and 84 elementary particles recently considered by the Author are discussed.
Keywords: Lie groups, elementary particles, algebra
Published: 31.05.2012; Views: 1346; Downloads: 54
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6.
Lie groups hierarchy in connection with the derivation of the inverse electromagnetic fine structure constant from the number of particle-like states 548, 576 and 672
Leila Marek-Crnjac, 2008, original scientific article

Abstract: In this work we present different mathematical derivations of the inverse electromagnetic fine structure constant from the dimension of the compactified Klein modular curve, the dimension of the exceptional Lie group E8 E8 and from the number of states 548, 576 and 672. We show the close connection of the number of particle-like states 548, 576 and 672 with the dimensions of Lie groups, specially with E71/2 and other exceptional Lie groups.
Keywords: Lie groups, Klein-modular curve, particles
Published: 31.05.2012; Views: 1439; Downloads: 31
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7.
Structurally stable but chaotic limit set of E-infinity Cantorian space-time
Leila 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
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8.
Higher dimensional dodecahedra as models of the macro and micro universe in E-infinity Cantorian space-time
Leila 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
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9.
E-infinity Cantorian space-time from subfactors and knot theory
Leila Marek-Crnjac, 2007, original scientific article

Published: 01.06.2012; Views: 567; Downloads: 54
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10.
The maximum number of elementary particles in a super symmetric extension of the standard model
Leila 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
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