Non-differentiable Degrees of Freedom : Fluctuating Metric Signature
نویسنده
چکیده
In this article we investigate the metric signature as a non-differentiable degree of freedom. The specific model is a vacuum 7D Universe on the principal bundle with an SU(2) structural group. An analytical solution is found which to a 4D observer appears as a flat Universe with a fluctuating metric signature, and frozen extra dimensions with an SU(2) instanton gauge field. A piece of this solution with linear size of the Planck length (≈ lP l) can be considered as seeding the quantum birth of a regular Universe. A boundary of this piece can initiate the formation of a Lorentzian Universe filled with the gauge fields and in which the extra dimensions have been “frozen”. Typeset using REVTEX E-Mail Address : [email protected] E-Mail Address : [email protected] 1
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