Classical Implications of the Minimal Length Uncertainty Relation

2002/09/14 by Sandor Benczik, Sándor Benczik, Lay Nam Chang +12 · 1 citation
Physics and Astronomy · #Astrophysics (astro-ph) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #astro-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0209119

12 pages, REVTEX4, 1 eps figure

arxiv created 2002/09/14 · openalex publication_date 2002/09/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p²) 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.

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