Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-30
Phys.Lett. B519 (2001) 103-110
Physics
High Energy Physics
High Energy Physics - Theory
Latex file. 15 pages. Version 2: Typo corrected. Version 3: References added. To appear in Physics Letters B
Scientific paper
10.1016/S0370-2693(01)01091-7
We study the dynamical consequences of Maggiore's unique generalised uncertainty principle (GUP). We find that it leads naturally, and generically, to novel consequences. In the high temperature limit, there is a drastic reduction in the degrees of freedom, of the type found, for example, in strings far above the Hagedorn temperature. In view of this, the present GUP may perhaps be taken as the new version of the Heisenberg uncertainty principle, conjectured by Atick and Witten to be responsible for such reduction. Also, the present GUP leads naturally to varying speed of light and modified dispersion relations. They are likely to have novel implications for cosmology and black hole physics, a few of which we discuss qualitatively.
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