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arXiv · 2609.03071

The trans-Planckian problem and gravitational interactions

Ted Jacobson
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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.

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Ted Jacobson. 2026-09-02. The trans-Planckian problem and gravitational interactions. https://doi.org/10.5802/crphys.285

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