Self-similar and oscillating solutions of Einstein's equation and other relevant consequences of a stochastic self-similar and fractal universe via El Naschie's \(\varepsilon^{(\infty)}\) Cantorian space-time

DOI10.1016/j.chaos.2004.05.032zbMath1075.83537OpenAlexW2067573788MaRDI QIDQ1771605

Gerardo Iovane

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.032

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (10)

The Lie algebra of point symmetries of nonlocal collisionless Boltzmann equation in terms of moments ⋮ Design and properties of vector-valued wavelets associated with an orthogonal vector-valued scaling function ⋮ Biorthogonal multiple vector-valued multivariate wavelet packets associated with a dilation matrix ⋮ Dynamical systems on El Naschie's \({\mathcal E}^{(\infty)}\) Cantorian space-time ⋮ Irreversible processes and a new model for the universe ⋮ Cantorian spacetime and Hilbert space. I: Foundations ⋮ Accelerated expansion in a stochastic self-similar fractal universe ⋮ Cantorian space-time and Hilbert space. II: Relevant consequences ⋮ A Cantorian potential theory for describing dynamical systems on El Naschie's space-time ⋮ Cantorian space--time, Fantappié's final group, accelerated universe and other consequences

Cites Work

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• Fractal Cantorian structures with spatial pseudo-spherical symmetry for a possible description of the actual segregated universe as a consequence of its primordial fluctuations
• Penrose universe and Cantorian spacetime as a model for noncommutative quantum geometry
• The emergence of the Planck scale
• Stochastic self-similar and fractal universe
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• On the uncertainty of Cantorian geometry and the two-slit experiment
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• On the Experimental Verification of the Wheeler–DeWitt Equation
• The oscillating universe: an alternative to inflation
• Quantum Theory of Gravity. I. The Canonical Theory
• Quantum Fields in Curved Space

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