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• W3100296326 abstract "A localized particle in Quantum Mechanics is described by a wave packet in position space, regardless of its energy. However, from the point of view of General Relativity, if the particle’s energy density exceeds a certain threshold, it should be a black hole. To combine these two pictures, we introduce a horizon wave function determined by the particle wave function in position space, which eventually yields the probability that the particle is a black hole. The existence of a minimum mass for black holes naturally follows, albeit not in the form of a sharp value around the Planck scale, but rather like a vanishing probability that a particle much lighter than the Planck mass may be a black hole. We also show that our construction entails an effective generalized uncertainty principle (GUP), simply obtained by adding the uncertainties coming from the two wave functions associated with a particle. Finally, the decay of microscopic (quantum) black holes is also described in agreement with what the GUP predicts." @default.
• W3100296326 created "2020-11-23" @default.
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• W3100296326 date "2014-01-01" @default.
• W3100296326 modified "2023-10-17" @default.
• W3100296326 title "Horizon wave function for single localized particles: GUP and quantum black-hole decay" @default.
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• W3100296326 doi "https://doi.org/10.1140/epjc/s10052-013-2685-2" @default.
• W3100296326 hasPublicationYear "2014" @default.
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