κ-Entanglement Entropy from Black Hole

In this work‎, ‎we explore the entanglement entropy equipped with the \kappa-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 \kappa-algebra embedding provides a richer scenario where the third-order corrections in time added from \kappa-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.

کلیدواژه ها:

entanglement entropy ، Black Hole Interior ، \kappa-algebra ، \kappa-geometry ، black hole thermalization ، quantum information flow