Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-06-30
Phys.Lett.B678:497-499,2009
Physics
High Energy Physics
High Energy Physics - Theory
3 pages, revtex4, no figures, to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2009.06.061
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.
Ali Ahmed Farag
Das Saurya
Vagenas Elias C.
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