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arXiv · 0811.0793

Physical Consequences of a Theory with Dynamical Volume Element

E. I. Guendelman·A. B. Kaganovich
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Abstract

We survey motivation, basic ideas and physical consequences of a theory where the underlying action involves terms both with the usual volume element $\sqrt{-g}d^{4}x$ and with the new one $Φd^{4}x={4!}dφ_{1}\wedge dφ_{2}\wedge dφ_{3}\wedge dφ_{4}$. The latter may be interpreted as the 4-form determined on the 4-D space-time manifold (not necessary Riemannian). Regarding the scalar fields $φ_{a} (a=1,...4)$ as new dynamical variables and proceeding in the first order formalism we realize the so-called Two Measures Theory which possesses a number of attractive features. We discuss new physical effects which arise from this theory and in particular strong gravity effect in high energy physics experiments.

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E. I. Guendelman, A. B. Kaganovich. 2008-11-05. Physical Consequences of a Theory with Dynamical Volume Element. https://arxiv.org/abs/0811.0793

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