Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation

Preprint

5 September 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0204049

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.

Keywords

COMMUTATION RELATIONS
UNCERTAINTY RELATION
LENGTH UNCERTAINTY
DISTANCE PHYSICS
CLASSICAL LIMIT
MINIMAL LENGTH
MOTIVATED
P_J

All Related Versions

Version 1, 2002-04-04, ArXiv
Version 2, 2002-09-05, ArXiv
Published version: Physical Review D, 66 (2).

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