Tuesday, July 16, 2013

1307.3922 (Jonathan Holland et al.)

The cosmology of a fundamental scalar    [PDF]

Jonathan Holland, George Sparling
We observe that the standard homogeneous cosmologies, those of de Sitter, anti-de Sitter and Minkowski, which form the matrix for the Robertson--Walker scale factor are unstable under small perturbations and therefore unphysical. When we pass to the stable family of perturbed metrics, we immediately encounter a scalar field, which drives the conformal expansion of the universe and which automatically obeys the non-linear sine-Gordon equation. The Lagrangian for the sine-Gordon equation has a cosine potential and the standard Taylor--Maclaurin series for the cosine of $x$ begins $1 - x^2/2 + x^4/24$ agreeing to this order with the potential used in the approach to the generation of mass in gauge theories. Accordingly we identify our geometric scalar field (actually of the type of an abelian gauge field) with the recently discovered scalar. There is a one dimensional constant in the theory, which defines a mass scale for the universe.
View original: http://arxiv.org/abs/1307.3922

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