Quantum hoop conjecture: Black hole formation by particle collisions

被引:43
|
作者
Casadio, Roberto [1 ,2 ]
Micu, Octavian [3 ]
Scardigli, Fabio [4 ,5 ]
机构
[1] Univ Bologna, Dipartmento Fis & Astron, I-40126 Bologna, Italy
[2] Ist Nazl Fis Nucl, Sez Bologna, I-40127 Bologna, Italy
[3] Inst Space Sci, RO-077125 Bucharest, Romania
[4] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy
[5] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
关键词
TRAPPED SURFACES;
D O I
10.1016/j.physletb.2014.03.037
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. (C) 2014 The Authors. Published by Elsevier B.V.
引用
收藏
页码:105 / 109
页数:5
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