What is it about?
We tentatively generalize the Hawking relation between the temperature T of black holes and their radius R to the Planckian regime, by postulating a generalization of the de Broglie relation satisfying a duality invariance under the change R/L to L/R, with L being the Planck length. In this generalized relation, T is proportional to 1/R for big black holes, thus recovering the Hawking relation, whereas for small black holes T becomes proportional to R. As a consequence, small black holes would not explosively evaporate, but could last long times.
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Why is it important?
In this formalism, black holes of subPlanckian size would not evaporate in a fast way. Thus, a remnant background of primordial black holes could subsist, providing a possible candidate for dark matter.
Perspectives
The paper is beyond current experimental reach. Its attractive is the simplicity and the symmetry of the mathematical model, bringing to three-dimensional space the duality symmetry used up to now in superstring models.
David Jou
Universitat Autonoma de Barcelona
Read the Original
This page is a summary of: Thermal duality and thermodynamics of micro black holes, International Journal of Modern Physics D, September 2015, World Scientific Pub Co Pte Lt,
DOI: 10.1142/s021827181550087x.
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