Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1890647 | Chaos, Solitons & Fractals | 2006 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Kourosh Nozari,