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Holographic consequences of a no transmission principle

2015/09/30 by Netta Engelhardt, Gary T. Horowitz · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Epistemology #Field (mathematics) #Gravitational singularity #Holographic principle #Holography #Mathematical analysis #Mathematics #Naked singularity #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Simple (philosophy) #Singularity #Telecommunications #Theoretical physics #Transmission (telecommunications) #Wormhole #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.93.026005

published as Phys. Rev. D 93, 026005 (2016) · 26 pages, 7 figures, v3: further clarifications and references added

arxiv created 2015/10/30 · openalex publication_date 2016/01/12 · arxiv updated 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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: (i) certain cosmological bounces are forbidden, (ii) generic singularities inside black holes cannot be resolved, and (iii) 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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