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Fractional illusion theory of space: Fractional gravitational field with fractional extra-dimensions

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  • Rami, El-Nabulsi Ahmad

Abstract

We construct a matter field theory in a fractional theory of a space endowed with fractional extra-dimensions. Some important consequences are revealed and discussed in some details. In particular, the possible variation of the gravitational constant with distance, the Schwarzschild black hole and the hierarchy problem are considered. A novel approach towards solving the gauge hierarchy problem without supersymmetry and without compact extra spacetime dimensions is introduced. The spacetime is endowed within our framework with one time direction and four spatial directions with fractional dimensions of total sum equal to 3.

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  • Rami, El-Nabulsi Ahmad, 2009. "Fractional illusion theory of space: Fractional gravitational field with fractional extra-dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 377-384.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:377-384
    DOI: 10.1016/j.chaos.2008.12.008
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Hilbert, Fock and Cantorian spaces in the quantum two-slit gedanken experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 39-42.
    2. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    3. EL-Nabulsi, Ahmad Rami, 2009. "Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 52-61.
    4. Goldfain, Ervin, 2006. "Complexity in quantum field theory and physics beyond the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 913-922.
    5. Nottale, L., 2005. "On the transition from the classical to the quantum regime in fractal space–time theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(4), pages 797-803.
    6. El Naschie, M.S., 2006. "Hilbert space, the number of Higgs particles and the quantum two-slit experiment," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 9-13.
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    Cited by:

    1. Balankin, Alexander S., 2020. "Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).

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