2008/10/24 by James Lindesay · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #General relativity #Noncommutative and Quantum Gravity Theories #Open quantum system #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum dynamics #Quantum field theory #Quantum geometry #Quantum gravity #Quantum process #gr-qc
paper · pdf · doi:10.1088/0264-9381/26/12/125014
published as Class.Quant.Grav.26:125014,2009 · 33 pages, 14 figures
arxiv created 2008/10/24 · openalex publication_date 2009/06/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Often, geometries with horizons offer insights into the intricate relationships between general relativity and quantum physics. However, some subtle aspects of gravitating quantum systems might be difficult to ascertain using static backgrounds, since quantum mechanics incorporates dynamic measurability constraints (such as the uncertainty principle, etc.). For this reason, the behaviors of quantum systems on a dynamic black hole background are explored in this paper. The velocities and trajectories of representative outgoing, ingoing, and stationary classical particles are calculated and contrasted, and the dynamics of simple quantum fields (both massless and massive) on the space-time are examined. Invariant densities associated with the quantum fields are exhibited on the Penrose diagram that represents the excreting black hole. Furthermore, a generic approach for the consistent mutual gravitation of quanta in a manner that reproduces the given geometry is developed. The dynamics of the mutually gravitating quantum fields are expressed in terms of the affine parameter that describes local motions of a given quantum type on the space-time. Algebraic equations that relate the energy-momentum densities of the quantum fields to Einstein's tensor can then be developed. An example mutually gravitating system of macroscopically coherent quanta along with a core gravitating field is demonstrated. Since the approach is generic and algebraic, it can be used to represent a variety of systems with specified boundary conditions.