9,175 research outputs found
Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
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.Comment: Latex file. 15 pages. Version 2: Typo corrected. Version 3:
References added. To appear in Physics Letters
Size of Black Holes through Polymer Scaling
We imagine the strings on the stretched horizon of any space-time
dimensional black hole to be bits of polymer. Then, proposing an interaction
between these bits we obtain the size of the configuration, and thus of the
black hole, using the scaling laws. The transition from a typical black hole
state to a typical string state has a simple explanation, which also holds for
the extremal black holes.Comment: Latex file, 8 page
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