2012/12/31 by Ernesto Frodden, Marc Geiller, Karim Noui +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Statistical physics #Thermodynamics #gr-qc #hep-th
paper · pdf · doi:10.1209/0295-5075/107/10005
published as Europhys. Lett. 107 (2014) 10005 · 5 pages. New point of view on the analytic continuation, which is now made rigorous by analytically-continuing the SU(2) spins in addition to the Barbero-Immirzi parameter
arxiv created 2013/12/28 · openalex publication_date 2014/07/01 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In loop quantum gravity, the number of microstates of a black hole for a given discrete geometry Γ depends on the so-called Barbero-Immirzi parameter γ . Using a suitable analytic continuation of γ to complex values, we show that the number of microstates behaves as for a large area A in the large spin semiclassical limit. Such a correspondence with the semiclassical Bekenstein-Hawking entropy law points towards an unanticipated and remarkable feature of the original complex Ashtekar variables for quantum gravity.