English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The formalization of the modular energy operator within the curved spacetimeis achieved through the timeless approach proposed by Page and Wootters. Theinvestigation is motivated by the peculiar behavior of the near horizon regionof a black hole and its quantum effects, leading to a restriction of the studyto the immediate vicinity. The focus lies on the perspective of a staticobserver positioned close to the horizon. This paper highlights the alterationof the modular energy's behavior in this region compared to flat spacetime.Furthermore, it is observed that the geometry of the spacetime influences thenon-local properties of the modular energy. Moreover, within the event horizonof the black hole, the modular energy exhibits a completely distinct behavior,rendering its modular behavior imperceptible in this specific region.

Dynamical non-locality in the near-horizon region of a black hole with quantum time