Universality, intertwiners and black hole information
- URL: http://arxiv.org/abs/2010.12565v2
- Date: Mon, 22 Jan 2024 11:36:57 GMT
- Title: Universality, intertwiners and black hole information
- Authors: Abram Akal
- Abstract summary: The central question in this article is how information does leak out from black holes.
We propose the existence of certain operators whose correlations extend across the black hole atmosphere and range into the interior.
We derive the Page curve and argue that information is transferred to the radiation via black hole intertwiners.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The central question in this article is how information does leak out from
black holes. Relying on algebraic arguments and the concept of superselection
sectors, we propose the existence of certain operators whose correlations
extend across the black hole atmosphere and range into the interior. Contained
in the full algebra, these black hole intertwiners will not belong to the
subalgebra describing semiclassical bulk physics. We study this proposal in the
context of operator reconstructions for code spaces containing a large number
of microstates. As long as the atmosphere is excluded from a particular
subsystem, the global state seen under the action of the associated algebra is
maximally mixed and therefore described by a single classical background. Once
the relevant correlations are encoded, i.e. if the algebra is sufficiently
enlarged, perfect state distinguishability becomes possible. We arrive at this
by computing the von Neumann entropy which may explain the result obtained by
applying the quantum extremal surface prescription to the mixed state. We then
examine these insights in the context of black hole evaporation and argue that
information is transferred to the radiation via black hole intertwiners. We
derive the Page curve. The mechanism above suggests that black hole information
is topologically protected. An infalling observer would experience no drama.
This may resolve the unitarity problem without running into any firewall or
state puzzle, the latter being evident in generalized entropy computations. We
also examine the question of how certain wormhole topologies may be understood
given these findings. We argue that their occurrence in gravity replica
computations may be related to the maximal correlation between radiation and
atmosphere surrounding the old black hole. This may suggest a connection
between topology change and near horizon quantum gravitational effects.
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