2007/03/05 by Fotini Markopoulou
Computer Science · Mathematics · Physics and Astronomy · #Classical limit #Computer science #General relativity #Geometric phase #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical physics #Theoretical physics #Theory of relativity #gr-qc
paper · pdf · doi:10.1088/1742-6596/67/1/012019
published as J.Phys.Conf.Ser.67:012019,2007 · 11 pages, 3 figures
arxiv created 2007/03/05 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the difficulties that background independent theories based on quantum geometry encounter in deriving general relativity as the low energy limit. We follow a geometrogenesis scenario of a phase transition from a pre-geometric theory to a geometric phase which suggests that a first step towards the low energy limit is searching for the effective collective excitations that will characterize it. Using the correspondence between the pre-geometric background independent theory and a quantum information processor, we are able to use the method of noiseless subsystems to extract such coherent collective excitations. We illustrate this in the case of locally evolving graphs.