Physics – General Physics
Scientific paper
2010-11-11
Physics
General Physics
This paper has been withdrawn owing to the numerous revisions. All existing issues will be addressed and a final version will
Scientific paper
The suspicion that the existence of a minimal uncertainty in position measurements violates Lorentz invariance seems unfounded. It is shown that the existence of such a nonzero minimal uncertainty in position is not only consistent with Lorentz invariance, but that the latter also fixes the algebra between position and momentum which gives rise to this minimal uncertainty. We also investigate how this algebra affects the underlying quantum mechanical structure, and why, at the Planck scale, space can no longer be considered homogeneous.
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