Holographic Consequences of a No Transmission Principle
Netta Engelhardt, Gary T. Horowitz
TL;DR
This paper explores how a no transmission principle constrains holographic quantum gravity, ruling out certain cosmological bounces, black hole singularity resolutions, and traversable wormholes, with implications for singularity theorems.
Contribution
It derives nontrivial consequences for holographic quantum gravity from the no transmission principle, impacting the understanding of cosmology, black holes, and wormholes.
Findings
Certain cosmological bounces are forbidden.
Generic black hole singularities cannot be resolved.
Traversable wormholes do not exist.
Abstract
Two quantum field theories whose Hilbert spaces do not overlap cannot transmit a signal to one another. From this simple principle, we deduce some highly nontrivial consequences for holographic quantum gravity. These include: (1) certain cosmological bounces are forbidden, (2) generic singularities inside black holes cannot be resolved, and (3) traversable wormholes do not exist. At the classical level, this principle rules out certain types of naked singularities and suggests that new singularity theorems should exist.
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