Emergence of Time from Dimensional Reduction in Noncommutative Geometry

Abstract

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.

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

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Cited by in corpus (2)

• Black Hole Geometries in Noncommutative String Theory
• Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions