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- W2100082932 abstract "We establish a mapping between fractional and noncommutative spacetimes in configuration space. Depending on the scale at which the relation is considered, there arise two possibilities. For a fractional spacetime with log-oscillatory measure, the effective measure near the fundamental scale determining the log-period coincides with the non-rotation-invariant but cyclicity-preserving measure of kappa-Minkowski. At scales larger than the log-period, the fractional measure is averaged and becomes a power-law with real exponent. This can be also regarded as the cyclicity-inducing measure in a noncommutative spacetime defined by a certain nonlinear algebra of the coordinates, which interpolates between kappa-Minkowski and canonical spacetime. These results are based upon a braiding formula valid for any nonlinear algebra which can be mapped onto the Heisenberg algebra." @default.
- W2100082932 created "2016-06-24" @default.
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- W2100082932 date "2011-12-02" @default.
- W2100082932 modified "2023-09-26" @default.
- W2100082932 title "Fractional and noncommutative spacetimes" @default.
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- W2100082932 doi "https://doi.org/10.1103/physrevd.84.125002" @default.
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