Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation

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Date
2002-07-15
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Publisher
American Physical Society
Abstract

We continue our investigation of the phenomenological implications of the "deformed" commutation relations [(x) over cap (i),(p) over cap (j)]=i (h) over bar[(1+beta(p) over cap (2))delta(ij)+beta'(p) over cap (i)(p) over cap (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.

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Keywords
space-time uncertainty, string theory, cosmological constant, superstring collisions, quantum-gravity, principle, energy, inflation, dynamics, branes, Astronomy & Astrophysics, Physics
Citation
Benczik, S ; Chang, LN ; Minic, D ; et al., JUL 15 2002. “Short distance versus long distance physics: The classical limit of the minimal length uncertainty relation,” PHYSICAL REVIEW D 66(2): 026003. DOI: 10.1103/PhysRevD.66.026003