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- W2106808512 abstract "We treat the events determined by a quantum physical state in a noncommutative space-time, generalizing the analogous treatment in the usual Minkowski space-time based on positive-operator-valued measures (POVMs). We consider in detail the model proposed by Snyder in 1947 and calculate the POVMs defined on the real line that describe the measurement of a single coordinate. The approximate joint measurement of all the four space-time coordinates is described in terms of a generalized Wigner function. We derive lower bounds for the dispersion of the coordinate observables and discuss the covariance of the model under the Poincar'e group. The unusual transformation law of the coordinates under space-time translations is interpreted as a failure of the absolute character of the concept of space-time coincidence. The model shows that a minimal length is compatible with Lorentz covariance." @default.
- W2106808512 created "2016-06-24" @default.
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- W2106808512 date "2004-07-23" @default.
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- W2106808512 title "Events in a noncommutative space-time" @default.
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- W2106808512 doi "https://doi.org/10.1103/physrevd.70.024006" @default.
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