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

Kourosh Nozari

Chaos, Solitons & Fractals, 2006, vol. 30, issue 2, 290-299

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.

Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:2:p:290-299

DOI: 10.1016/j.chaos.2006.01.088

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