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

By S. Benczik, L. Chang, D. Minic, N. Okamura, Saif Rayyan, T. Takeuchi. 2002

191 citations recorded by the source corpus.

We continue our investigation of the phenomenological implications of the ``deformed'' commutation relations $[{x}_{i},{p}_{j}]=i\ensuremath{\Elzxh}[(1+\ensuremath{\beta}{p}^{2}){\ensuremath{\delta}}_{\mathrm{ij}}+{\ensuremath{\beta}}^{\ensuremath{'}}{p}_{i}{p}_{j}].$ 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/75e5804675a86fa3d4d7658f925bf8b46ad25b6f

Citations in the corpus

• Generalized Uncertainty Principle: Approaches and Applications (2014, unknown): “Recent algebraic relations have been presented [99]”