Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation
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- 28 June 2002
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 66 (2)
- https://doi.org/10.1103/physrevd.66.026003
Abstract
We continue our investigation of the phenomenological implications of the "deformed" commutation relations [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. These commutation relations are motivated by the fact that they lead to the minimal length uncertainty relation which appears in perturbative string theory. In this paper, we consider the effects of the deformation on the classical orbits of particles in a central force potential. Comparison with observation places severe constraints on the value of the minimum length.Comment: 20 pages REVTEX4, 4 color eps figures, typos correcteKeywords
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