Lorentz invariance, nonzero minimal uncertainty in position, and inhomogeneity of space at the Planck scale

Details Lorentz invariance, nonzero minimal uncertainty in position, and inhomogeneity of space at the Planck scale Lorentz invariance, nonzero minimal uncertainty in position, and inhomogeneity of space at the Planck scale

2010-11-23

arxiv.org/abs/1011.5234v2

Physics

General Physics

As I have been able to prove in a more recent work, the main result of this paper is wrong. That's why I am withdrawing this p

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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