2005/06/25 by Shahar Hod, Uri Keshet
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.73.024003
published as Phys.Rev. D73 (2006) 024003 · 4 pages, 2 figures
arxiv created 2005/06/25 · openalex publication_date 2006/01/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We suggest that quantum transitions of black holes comply with selection rules, analogous to those of atomic spectroscopy. In order to identify such rules, we apply Bohr's correspondence principle to the quasinormal ringing frequencies of black holes. In this context, classical ringing frequencies with an asymptotically vanishing real part \ensuremathωR correspond to virtual quanta, and may thus be interpreted as forbidden quantum transitions. With this motivation, we calculate the quasinormal spectrum of neutrino fields in spherically symmetric black-hole spacetimes. It is shown that \ensuremathωR\ensuremath→0 for these resonances, suggesting that the corresponding fermionic transitions are quantum mechanically forbidden.