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

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arxiv hep-th/0204049 v2 pith:LZYXCZZK submitted 2002-04-04 hep-th astro-phhep-ph

Sandor Benczik , Lay Nam Chang , Djordje Minic , Naotoshi Okamura , Saifuddin Rayyan , Tatsu Takeuchi This is my paper · ORCID
classification hep-thastro-phhep-ph
keywords lengthbetaclassicalcommutationdistanceminimalrelationrelations
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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.

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  1. Observable thin accretion disk around a self-dual black hole in loop quantum gravity

    gr-qc 2025-09 conditional novelty 3.0 of 10

    A self-dual loop quantum black hole is shown to look smaller and brighter than Schwarzschild in thin disk models, with the polymer parameter P bounded by Mercury and S2 star data.

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