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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
Discreteness of space from the generalized uncertainty principle
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Volume 678, No. 5, Year 2009
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Description
Various approaches to Quantum Gravity (such as String Theory and Doubly Special Relativity), as well as black hole physics predict a minimum measurable length, or a maximum observable momentum, and related modifications of the Heisenberg Uncertainty Principle to a so-called Generalized Uncertainty Principle (GUP). We propose a GUP consistent with String Theory, Doubly Special Relativity and black hole physics, and show that this modifies all quantum mechanical Hamiltonians. When applied to an elementary particle, it implies that the space which confines it must be quantized. This suggests that space itself is discrete, and that all measurable lengths are quantized in units of a fundamental length (which can be the Planck length). On the one hand, this signals the breakdown of the spacetime continuum picture near that scale, and on the other hand, it can predict an upper bound on the quantum gravity parameter in the GUP, from current observations. Furthermore, such fundamental discreteness of space may have observable consequences at length scales much larger than the Planck scale. © 2009 Elsevier B.V. All rights reserved.
Authors & Co-Authors
Ali, Ahmed Farag
Canada, Lethbridge
University of Lethbridge
Das, Saurya
Canada, Lethbridge
University of Lethbridge
Vagenas, Elias C.
Greece, Athens
Academy of Athens
Statistics
Citations: 455
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.physletb.2009.06.061
ISSN:
03702693