We address the issue of (quantum) black hole formation by particle collision in quantum physics. We start by constructing the horizon wave-function for quantum mechanical states representing two highly boosted non-interacting particles that collide in flat one-dimensional space. From this wave-function, we then derive a probability that the system becomes a black hole as a function of the initial momenta and spatial separation between the particles. This probability allows us to extend the hoop conjecture to quantum mechanics and estimate corrections to its classical counterpart.
Quantum hoop conjecture: Black hole formation by particle collisions / Roberto Casadio;Octavian Micu;Fabio Scardigli. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - STAMPA. - 732:(2014), pp. 105-109. [10.1016/j.physletb.2014.03.037]
Quantum hoop conjecture: Black hole formation by particle collisions
CASADIO, ROBERTO;
2014
Abstract
We address the issue of (quantum) black hole formation by particle collision in quantum physics. We start by constructing the horizon wave-function for quantum mechanical states representing two highly boosted non-interacting particles that collide in flat one-dimensional space. From this wave-function, we then derive a probability that the system becomes a black hole as a function of the initial momenta and spatial separation between the particles. This probability allows us to extend the hoop conjecture to quantum mechanics and estimate corrections to its classical counterpart.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
