PreprintCC BY 4.0arXiv
The trans-Planckian problem and gravitational interactions
Abstract
The strong gravitational interaction of counter-propagating quantum field modes is of foundational importance to the trans-Planckian problem of black hole horizons. This article, in memory of Renaud Parentani, is primarily an exposition of Renaud's attempt, using perturbation theory, a large N approximation, and spherical reduction, to capture a mechanism by which those interactions might quench the trans-Planckian near-horizon quantum field correlations. Before giving a detailed account of Renaud's calculation, the trans-Planckian problem is briefly introduced, and the paper concludes with a discussion of related issues and questions.
Versions
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BibTeX
@misc{jacobson2026transplanckian,
title = {{The trans-Planckian problem and gravitational interactions}},
author = {Ted Jacobson},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03071},
eprint = {2609.03071},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03071},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The trans-Planckian problem and gravitational interactions
AU - Ted Jacobson
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03071
UR - https://arxiv.org/abs/2609.03071
AB - The strong gravitational interaction of counter-propagating quantum field modes is of foundational importance to the trans-Planckian problem of black hole horizons. This article, in memory of Renaud Parentani, is primarily an exposition of Renaud's attempt, using perturbation theory, a large N approximation, and spherical reduction, to capture a mechanism by which those interactions might quench the trans-Planckian near-horizon quantum field correlations. Before giving a detailed account of Renaud's calculation, the trans-Planckian problem is briefly introduced, and the paper concludes with a discussion of related issues and questions.
ER -