Kleinian groups in \(E^{(\infty)}\) and their connection to particle physics and cosmology.
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Publication:1419289
DOI10.1016/S0960-0779(02)00489-7zbMath1035.83509MaRDI QIDQ1419289
Publication date: 14 January 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20)
Related Items (21)
Stochastic self-similar and fractal universe ⋮ Varying G, accelerating universe, and other relevant consequences of a stochastic self-similar and fractal universe ⋮ On Cantorian spacetime over number systems with division by zero ⋮ Cantor and generalized continuum hypotheses may be false ⋮ El Naschie's Cantorian strings and dendritic morphogenesis ⋮ Cantorian small world, Mach's principle, and the universal mass network ⋮ On the \(n\)-transitivity of the group of Möbius transformations on \(\mathbb{C}_{\infty}\) ⋮ Visual presentation of dynamic systems with hyperbolic planar symmetry ⋮ Ricci solitons on golden Riemannian manifolds ⋮ On a connection between the VAK, knot theory and El Naschie's theory of the mass spectrum of the high energy elementary particles ⋮ Elie Cartan and pan-geometry of multispatial hyperspace ⋮ Field and potential of fractal-Cantorian structures and El Naschie's \(\mathcal E^{(\infty)}\) theory ⋮ The mass of the neutrinos via the energy of the cosmic background radiation of the VAK ⋮ The golden mean as clock cycle of brain waves ⋮ The standing wave model of the mesons and baryons ⋮ A review of \(E\) infinity theory and the mass spectrum of high energy particle physics ⋮ The golden ratio in special relativity ⋮ Thermal properties of bodies in fractal and Cantorian physics ⋮ Waveguiding and mirroring effects in stochastic self-similar and Cantorian \({\mathcal E}^{(\infty)}\) universe ⋮ Structurally stable but chaotic limit set of \(E\)-infinity Cantorian space-time ⋮ Fractal Cantorian structures with spatial pseudo-spherical symmetry for a possible description of the actual segregated universe as a consequence of its primordial fluctuations
Cites Work
- The imbedding problem for Riemannian manifolds
- Superstrings, knots, and noncommutative geometry in \({\mathcal E}^{(\infty)}\) space
- Determining the temperature of the microwave background radiation from the topology and geometry of spacetime.
- Fractal strings as an alternative justification for El Naschie's Cantorian spacetime and the fine structure constant.
- Nash's surface and the \(\mathcal E^{(\infty)}\) space of quantum scale.
- Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics
- Penrose universe and Cantorian spacetime as a model for noncommutative quantum geometry
- Theoretical derivation and experimental confirmation of the topology of transfinite heterotic strings
- The exact mass of the electron via the transfinite way
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