The trace left by signature-change-induced compactification
Abstract
Recently, it has been shown that an infinite succession of classical signature changes (''signature oscillations'') can compactify and stabilize internal dimensions, and simultaneously leads, after a coarse graining type of average procedure, to an effective (''physical'') space-time geometry displaying the usual Lorentzian metric signature. Here, we consider a minimally coupled scalar field on such an oscillating background and study its effective dynamics. It turns out that the resulting field equation in four dimensions contains a coupling to some non-metric structure, the imprint of the ''microscopic'' signature oscillations on the effective properties of matter. In a multidimensional FRW model, this structure is identical to a massive scalar field evolving in its homogeneous mode.
Cite
@article{arxiv.gr-qc/9411028,
title = {The trace left by signature-change-induced compactification},
author = {Franz Embacher},
journal= {arXiv preprint arXiv:gr-qc/9411028},
year = {2010}
}
Comments
15 pages, LaTeX, no figures