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

We explore a possible connection between two aspects of Loop Quantum Gravitywhich have been extensively studied in the recent literature: the black-holearea-entropy law and the energy-momentum dispersion relation. We observe thatthe original Bekenstein argument for the area-entropy law implicitly requiresinformation on the energy-momentum dispersion relation. Recent results showthat in first approximation black-hole entropy in Loop Quantum Gravity dependslinearly on the area, with small correction terms which have logarithmic orinverse-power dependence on the area. Preliminary studies of theLoop-Quantum-Gravity dispersion relation reported some evidence of the presenceof terms that depend linearly on the Planck length, but we observe that thispossibility is excluded since it would require, for consistency, a contributionto black-hole entropy going like the square root of the area.Comment: 4 pages, LaTe

Severe constraints on the loop-quantum-gravity energy-momentum dispersion relation from the black-hole area-entropy law