Author： Toller M.
Publisher： Springer Publishing Company
ISSN： 0020-7748
Source： International Journal of Theoretical Physics, Vol.38, Iss.7, 1999-07, pp. : 2015-2028
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Abstract
We study the variances of the coordinates of an event considered as quantum observables in a Poincare-covariant theory. The starting point is their description in terms of a covariant positive-operator-valued measure on Minkowski space-time. Besides the usual uncertainty relations, we find stronger inequalities involving the mass and the center-of-mass angular momentum of the object that defines the event. We suggest that these inequalities may help to clarify some of the arguments which have been given in favor of a gravitational quantum limit to the accuracy of time and space measurements.
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