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Nonlinear operations on distributions and application to cosmology of very early universe

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  • Nozari, Kourosh

Abstract

In classical theory of distributions (Schwartz–Sobolov theory), nonlinear operations such as multiplication of distributions are forbidden (Schwartz impossibility theorem). Colombeau’s theory of new generalized functions provides a consistent framework to perform such operations. In this paper, using Colombeau algebra, we construct a signature changing cosmological model for beginning of the universe. Our model considers two different manifolds with a common signature changing boundary in which creation of the universe occurs as a quantum mechanical tunneling effect at this boundary. As an important result, we find a geometric interpretation of cosmological constant.

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  • Nozari, Kourosh, 2006. "Nonlinear operations on distributions and application to cosmology of very early universe," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 290-299.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:2:p:290-299
    DOI: 10.1016/j.chaos.2006.01.088
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    References listed on IDEAS

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    1. Kourosh Nozari & Ghasem Alizadeh Afrouzi, 2004. "Travelling wave solutions to some PDE s of mathematical physics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-16, January.
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    Cited by:

    1. Mukhamedov, A.M., 2007. "E-infinity as a fiber bundle and its thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 717-724.
    2. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.

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