Year: 2025
Type: preprint
Abstract: In this work, we explore the entanglement entropy equipped with the $κ$-algebra. This entanglement entropy is computed through the geometric setup as performed by Hartman-Maldacena, which, in their prescription, finds that the entropy grows linearly in time. In our case, we show that the $κ$-algebra embedding provides a richer scenario where the third-order corrections in time added from $κ$-algebra to entanglement entropy imply that the growth of quantum correlations between subsystems is more intricate than a simple linear increase into the dynamics of black hole thermalization and quantum information flow. In the context of holography, such corrections suggest that the thermalization process is not instantaneous but involves higher-order interactions between subsystems.
Source: arXiv (Cornell University)
Authors: Santos, Fabiano F., Anand, Ankit
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6888849542
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