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General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
The Generalized Uncertainty Principle suggests corrections to the Uncertainty
Principle as the energy increases towards the Planck value. It provides a
natural transition between the expressions for the Compton wavelength below the
Planck mass and the black hole event horizon size above this mass. It also
suggests corrections to the the event horizon size as the black hole mass falls
towards the Planck value, leading to the concept of a Generalized Event
Horizon. Extrapolating below the Planck mass suggests the existence of a new
class of black holes, whose size is of order the Compton wavelength for their
mass. Such sub-Planckian black holes have recently been discovered in the
context of loop quantum gravity and it is possible that this applies more
generally. This suggests an intriguing connection between black holes, the
Uncertainty Principle and quantum gravity.
