Chin. Phys. Lett.  2011, Vol. 28 Issue (9): 091101    DOI: 10.1088/0256-307X/28/9/091101
THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
Generalized Uncertainty Principle in the Presence of Extra Dimensions
MU Ben-Rong, WU Hou-Wen**, YANG Hai-Tang
School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054
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MU Ben-Rong, WU Hou-Wen, YANG Hai-Tang 2011 Chin. Phys. Lett. 28 091101
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Abstract We argue that in the generalized uncertainty principle (GUP) model, the parameter β0 whose square root, multiplied by Planck length p, approximates the minimum measurable distance, varies with energy scales. Since the minimal measurable length and extra dimensions are both suggested by quantum gravity theories, we investigate the models based on the GUP and one extra dimension, compactified with radius ρ. We obtain an inspiring relation √β0p/ρ∼ O(1). This relation is also consistent with the predictions at Planck scale and the usual quantum mechanics scale. We also estimate the application range of the GUP model. It turns out that the minimum measurable length is exactly the compactification radius of the extra dimension.
Keywords: 11.10.Kk      04.60.-m     
Received: 15 March 2011      Published: 30 August 2011
PACS:  11.10.Kk (Field theories in dimensions other than four)  
  04.60.-m (Quantum gravity)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/28/9/091101       OR      https://cpl.iphy.ac.cn/Y2011/V28/I9/091101
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MU Ben-Rong
WU Hou-Wen
YANG Hai-Tang
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