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• W3104022018 abstract "We argue that in the Generalized Uncertainty Principle (GUP) model, the parameter $beta_0$ whose square root, multiplied by Planck length $ell_p$, approximates the minimum measurable distance, varies with energy scales. Since minimal measurable length and extra dimensions are both suggested by quantum gravity theories, we investigate models based on GUP and one extra dimension, compactified with radius $rho$. We obtain an inspiring relation $sqrt{beta_0} ell_p/rho sim {cal O}(1)$. This relation is also consistent with predictions at Planck scale and usual quantum mechanics scale. We also make estimations on the application range of the GUP model. It turns out that the minimum measurable length is exactly the compactification radius of the extra dimension." @default.
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• W3104022018 date "2011-09-01" @default.
• W3104022018 modified "2023-09-23" @default.
• W3104022018 title "Generalized Uncertainty Principle in the Presence of Extra Dimensions" @default.
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• W3104022018 doi "https://doi.org/10.1088/0256-307x/28/9/091101" @default.
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