Models for firewall creation in massless scalar field theory
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Date
2018-12-19
Authors
Zhou, Lingjun
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Abstract
We study the topic of quantum entanglement in the extreme spacetime background of
a black hole. It was suggested by Almheiri et al (AMPS) that, unlike what is commonly
believed, the event horizon of a black hole past Page time is very disruptive and violent. This
disruption at the event horizon manifests itself as the so-called ` rewall', which incinerates
any infalling object. As a result, quantum entanglement across the event horizon is also
broken, and this saves us from the information loss conundrum.
AMPS did not propose a mechanism for such `fi rewall', and many have been speculating
how to realize such a singular structure.
In this thesis, following Brown and Louko, we study further the mechanism of singular
energy density in the context of Minkowski spacetime. We generalize their one-dimensional
model to three dimensions. We study two spherically symmetric generalizations of Brown
and Louko's model. The rst is the creation of a null energy pulse with a time-dependent boundary condition at the space origin, and the second is the creation of an outgoing and
an ingoing energy pulse by a time-dependent boundary condition at a nite radius r = a.
Both models generate singular energy pulses which at first sight seems to be strong enough to
break quantum correlations. However, a singular energy pulse is not enough evidence to show
that quantum correlation is broken1. A divergent response of an Unruh-DeWitt detector is
needed. Our calculation shows that the three dimensional spherically symmetric model with
a time-dependent boundary condition at the origin can be singular enough to destroy the
quantum correlations. A similar calculation shows that the spherically symmetric model
with a time-dependent boundary condition at nite radius r = a is not singular enough,
because the Unruh-DeWitt detector response does not diverge.
Our contributions to this topic consist of two models; 3+1 D pointlike source creation
and 3+1 D shell creation. In both cases, we extended Brown and Louko's 1+1 D model
and studied properties of the energy density and response function.
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Keywords
Black hole, Information loss, AMPS proposal