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Main Authors: Karan, Sudip, Majhi, Bibhas Ranjan
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2412.06387
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author Karan, Sudip
Majhi, Bibhas Ranjan
author_facet Karan, Sudip
Majhi, Bibhas Ranjan
contents Rindler worldsheets are known to acquire a Carrollian structure at infinite acceleration, marking their tensionless limit. This work extends the same paradigm to time-evolving worldsheets in the background target spacetime spanning the Kasner wedges. Specifically, we demonstrate that approaching the null horizons of the Kasner worldsheet induces a Carrollian structure, necessitating an infinite limit on the time-evolution parameter. We further examine how the associated Bogoliubov transformations on the usual tensile Kasner worldsheets -- encompassing quantum modes, vacuum states, and oscillators -- provide insights into their yet-unexplored tensionless regime. Intriguingly, phenomena such as null string complementarity (i.e., the emergence of open string physics from closed strings) and Hagedorn physics naturally arise in the quantum vacuum of tensionless worldsheets. These findings validate that time-like entanglement in Kasner worldsheets is not merely analogous to, but exactly equivalent to, space-like entanglement in Rindler worldsheets, viewed in distinct causally-disconnected regions.
format Preprint
id arxiv_https___arxiv_org_abs_2412_06387
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A time-like window into tensionless worldsheets
Karan, Sudip
Majhi, Bibhas Ranjan
High Energy Physics - Theory
Rindler worldsheets are known to acquire a Carrollian structure at infinite acceleration, marking their tensionless limit. This work extends the same paradigm to time-evolving worldsheets in the background target spacetime spanning the Kasner wedges. Specifically, we demonstrate that approaching the null horizons of the Kasner worldsheet induces a Carrollian structure, necessitating an infinite limit on the time-evolution parameter. We further examine how the associated Bogoliubov transformations on the usual tensile Kasner worldsheets -- encompassing quantum modes, vacuum states, and oscillators -- provide insights into their yet-unexplored tensionless regime. Intriguingly, phenomena such as null string complementarity (i.e., the emergence of open string physics from closed strings) and Hagedorn physics naturally arise in the quantum vacuum of tensionless worldsheets. These findings validate that time-like entanglement in Kasner worldsheets is not merely analogous to, but exactly equivalent to, space-like entanglement in Rindler worldsheets, viewed in distinct causally-disconnected regions.
title A time-like window into tensionless worldsheets
topic High Energy Physics - Theory
url https://arxiv.org/abs/2412.06387