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Conference: Bucharest University Faculty of Physics 2015 Meeting

Section: Nuclear and Elementary Particles Physics I

Title:

Horizon Wave Function: From Particles to Black holes

Authors:

Roberto CASADIO (1, 2), Octavian MICU (3), Fabio SCARDIGLI (4, 5)

Affiliation:

1) Dipartimento di Fisica e Astronomia, Universit`a 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) Institute of Space Science, Bucharest, P.O. Box MG-23, RO-077125 Bucharest-Magurele, Romania

4) Dipartimento di Matematica, Politecnico di Milano, Piazza L. da Vinci 32, 20133 Milano, Italy

5) Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

E-mail

octavian.micu@spacescience.ro

Keywords:

horizon wave-function formalism, black holes, wave-packets, generalised uncertainty principle

Abstract:

Localised Quantum Mechanical particles are described by wave packets in position space, regardless of their energy. However, from the point of view of General Relativity, if a particle’s energy density exceeds a certain threshold, it should be a black hole. In order to combine these two pictures, we introduce a horizon wave-function determined by the particle wave-function in position space, which is used to compute the probability that the particle is a black hole. The sources are modelled as Gaussian wave-packets and using the horizon wave-function formalism we calculate the probability for these particles to be Schwarzschild black holes, respectively Reissner-Nordstrom black holes (in the case of charged particles). We also derive an effective Generalised Uncertainty Principle (GUP), which is obtained by adding the uncertainties coming from the two wave-functions associated to the particle.

References:

Horizon Wave-Function and the Quantum Cosmic Censorship; Roberto Casadio, Octavian Micu, Dejan Stojkovic, Phys.Lett. B747 (2015) 68-72.

Inner horizon of the quantum Reissner-Nordström black holes; Roberto Casadio, Octavian Micu, Dejan Stojkovic, JHEP 1505 (2015) 096.

Horizon wave-function for single localized particles: GUP and quantum black hole decay; Roberto Casadio, Fabio Scardigli, Eur.Phys.J. C74 (2014) 1, 2685.

Acknowledgement:

We want to thank Dr. Dejan STOJKOVIC (HEPCOS, Department of Physics, SUNY at Buffalo, Buffalo, NY 14260-1500) who had a significant contribution to the development this work.