English

Classical Implications of the Minimal Length Uncertainty Relation

High Energy Physics - Theory 2007-05-23 v1 Astrophysics

Abstract

We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p^2) delta_{ij} + beta' p_i p_j]. In particular, we investigate the "deformation" of Kepler's third law and apply our result to the rotation curves of gas and stars in spiral galaxies.

Cite

@article{arxiv.hep-th/0209119,
  title  = {Classical Implications of the Minimal Length Uncertainty Relation},
  author = {Sandor Benczik and Lay Nam Chang and Djordje Minic and Naotoshi Okamura and Saifuddin Rayyan and Tatsu Takeuchi},
  journal= {arXiv preprint arXiv:hep-th/0209119},
  year   = {2007}
}

Comments

12 pages, REVTEX4, 1 eps figure

R2 v1 2026-07-22T15:12:59.541Z