Show simple item record Ali, Ahmed Farag Das, Saurya Vagenas, Elias C. 2015-12-15T20:50:28Z 2015-12-15T20:50:28Z 2015-12-15
dc.identifier.citation Ali, A. F., Das., S., & Vagenas, E. C. (2009). Discreteness of space from the generalized uncertainty principle. Physics Letters B, 678(5), 497-499. doi: 10.1016/j.physletb.2009.06.061
dc.description Sherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies. en_US
dc.description.abstract 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. en_US
dc.language.iso en_CA en_US
dc.subject Generalized uncertainty principle en_US
dc.subject String theory en_US
dc.subject Doubly special relativity en_US
dc.subject Black hole physics en_US
dc.subject Quantum gravity en_US
dc.subject Hamiltonian en_US
dc.title Discreteness of space from the generalized uncertainty principle en_US
dc.type Article en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Physics en_US
dc.description.peer-review Yes
dc.publisher.institution University of Lethbridge en_US
dc.publisher.institution Academy of Athens en_US

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