http://arxiv.org/abs/0708.3813(adsbygoogle = window.adsbygoogle || []).push({});

Non-Commutativity of Effective Space-Time Coordinates and the Minimal Length

Florian Girelli, Etera R. Livine

5 pages

(Submitted on 28 Aug 2007)

"Considering that a position measurement can effectively involve a momentum-dependent shift and rescaling of the "true" space-time coordinates, we construct a set of effective space-time coordinates which are naturally non-commutative. They lead to a minimum length and are shown to be related to Snyder's coordinates and the five-dimensional formulation of Deformed Special Relativity. This effective approach then provides a natural physical interpretation for both the extra fifth dimension and the deformed momenta appearing in this context."

The issues of minimal length and extensions of Lorentz invariance are currently of considerable interest (recall the Dittrich-Thiemann paper that just came out, and the MAGIC observational result that would appear to indicate some slight bending of conventional Lorentz symmetry.) That could make this paper a timely one, also they have some new ideas.

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# Minimal length and a new paper on deformed relativity

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