Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology

Details Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology

1993-12-15

arxiv.org/abs/hep-th/9312132v1

Class.Quant.Grav.11:L61-L68,1994

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX file, 4 figures

Scientific paper

10.1088/0264-9381/11/4/002

The formalism of Greensite for treating the spacetime signature as a dynamical degree of freedom induced by quantum fields is considered for spacetimes with nontrivial topology of the kind ${\bf R}^{D-1} \times {\bf T}^1$, for varying $D$. It is shown that a dynamical origin for the Lorentzian signature is possible in the five-dimensional space ${\bf R}^4 \times {\bf T}^1$ with small torus radius (periodic boundary conditions), as well as in four-dimensional space with trivial topology. Hence, the possibility exists that the early universe might have been of the Kaluza-Klein type, \ie multidimensional and of Lorentzian signature.

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