Hi, is anyone familiar with topological insulator? I read an interesting paper:(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/abs/1703.09365,

Black hole as topological insulator

Abstract: Black holes are extraordinary massive objects which can be described

classically by general relativity, and topological insulators are new phases of

matter that could be use to built a topological quantum computer. They seem to

be different objects, but in this paper, we claim that the black hole can be

considered as a kind of topological insulator. For BTZ black hole in three

dimensional $AdS_3$ spacetime we give two evidences to support this claim: the

first evidence comes from the black hole "membrane paradigm", which says that

the horizon of black hole behaves like an electrical conductor. On the other

hand, the vacuum can be considered as an insulator. The second evidence comes

from the fact that the horizon of BTZ black hole can support two chiral

massless scalar field with opposite chirality. Those are two key properties of

2D topological insulator. For higher dimensional black hole the first evidence

is still valid. So we conjecture that the higher dimensional black hole can

also be considered as higher dimensional topological insulators. This

conjecture will have far-reaching influences on our understanding of quantum

black hole and the nature of gravity.

I am familiar with black hole but not topological insulator. Can anyone explain it to me?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Black hole as topological insulator

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**