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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Treating Maxwell soft hair as a transition function that relates U(1) gaugefields living in the asymptotic region and near-horizon region, the U(1) gaugeparameter $\phi$ naturally becomes a good label of those Maxwell soft hairdegrees of freedom. This interpretation also builds the connection betweenMaxwell soft hair and U(1) edge modes living in the intermediate region, whichadmits a well-defined effective action description. We study the statisticalproperties by Euclidean path integral, which concludes that the soft hairdensity of state increases with black hole temperature. Hawking radiationsincrease black hole entropy by creating entanglements, while the measurementsof soft modes project the black hole onto lower entropy states. The competitionbetween phase spaces of Hawking radiations and soft hair measurements givesrise to one version of the Page curve consistent with the unitary evolution ofthe black hole.

Soft black hole information paradox: Page curve from Maxwell soft hair of a black hole