Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology
نویسنده
چکیده
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 R ×T1, for varying D. It is shown that a dynamical origin for the Lorentzian signature is possible in the five-dimensional space R × T 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, i.e. multidimensional and of Lorentzian signature.
منابع مشابه
UB-ECM-PF 92/33 hep-th/9312132 December 1992 Dynamical Determination of the Metric Signature in Spacetime of Nontrivial Topology
The formalism of Greensite for treating the spacetime signature as a dynamical degree of freedom induced by quantum elds is considered, for spacetimes with nontrivial topology of the kind R 1 T, for varying D. It is shown that a dynamical origin for the Lorentzian signature is possible in the ve-dimensional space R T with small torus radius (periodic boundary conditions), as well as in four-dim...
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