Emergence of Time from Dimensional Reduction in Noncommutative Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTex, 9 pages, no figure. typos corrected and some discussions improved

Scientific paper

10.1142/S0217732306019785

By considering a new form of dimensional reduction for noncommutative field
theory, we show that the signature of spacetime may be changed. In particular,
it is demonstrated that a temporal dimension can emerge from a purely Euclidean
geometry. We suggest that this mechanism may hint at the origin of time in the
fundamental theory of quantum gravity.

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