Towards a quantum notion of covariance in spherically symmetric loop quantum gravity Gambini, Rodolfo Olmedo Nieto, Javier Antonio Pullin, Jorge We wish to thank Martin Bojowald for many useful comments. This work was supported in part by Grant No. NSF-PHY-1903799, funds of the Hearne Institute for Theoretical Physics, Center for Computation and Technology of the Louisiana State University, Pedeciba, Fondo Clemente Estable FCE 1 2019 1 155865 and the Spanish Government through the projects FIS2017-86497- C2-2-P, PID2019–105943 GB-I00 (with FEDER contribution), and the “Operative Program FEDER2014-2020 Junta de Andalucía-Consejería de Economía y Conocimiento” under project E-FQM-262-UGR18 by Universidad de Granada. The covariance of loop quantum gravity studies of spherically symmetric space-times has recently been questioned. This is a reasonable worry, given that they are formulated in terms of slicing-dependent variables. We show explicitly that the resulting space-times, obtained from Dirac observables of the quantum theory, are covariant in the usual sense of the way—they preserve the quantum line element—for any gauge that is stationary (in the exterior, if there is a horizon). The construction depends crucially on the details of the Abelianized quantization considered, the satisfaction of the quantum constraints, and the recovery of standard general relativity in the classical limit and suggests that more informal polymerization constructions of possible semiclassical approximations to the theory can indeed have covariance problems. This analysis is based on the understanding of how slicing-dependent quantities as the metric arise in a quantum context in terms of parametrized observables. It has implications beyond loop quantum gravity that hold for general approaches to quantum space time theories. 2022-02-15T07:51:23Z 2022-02-15T07:51:23Z 2022-01-12 journal article Rodolfo Gambini, Javier Olmedo, and Jorge Pullin. Towards a quantum notion of covariance in spherically symmetric loop quantum gravity. Phys. Rev. D 105, 026017 [https://doi.org/10.1103/PhysRevD.105.026017] http://hdl.handle.net/10481/72835 10.1103/PhysRevD.105.026017 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ open access Atribución-NoComercial-SinDerivadas 3.0 España American Physical Society