On the effect of the degeneracy among dark energy parameters |
| |
Authors: | Yungui Gong Qing Gao |
| |
Institution: | 1. Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy 2. I.N.F.N., Sezione di Bologna, viale Berti Pichat 6/2, 40127, Bologna, Italy 3. Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy 4. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan
|
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|