1994/03/31 by Luis J. Garay, LUIS J. GARAY · 13 citations
Physics and Astronomy · #Causality (physics) #General relativity #Hořava–Lifshitz gravity #Loop quantum gravity #Noncommutative and Quantum Gravity Theories #Position (finance) #Quantum #Quantum Mechanics and Applications #Quantum geometry #Quantum gravity #Relativity and Gravitational Theory #Spin foam #Wheeler–DeWitt equation #gr-qc #hep-th
paper · pdf · doi:10.1142/s0217751x95000085
published as Int.J.Mod.Phys. A10 (1995) 145-166 · 23 pages, RevTeX, few minor changes, published version
openalex publication_date 1995/01/20 · arxiv created 1995/05/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients for the appearance of this minimum length are quantum mechanics, special relativity and general relativity. As a consequence, classical notions such as causality or distance between events cannot be expected to be applicable at this scale. They must be replaced by some other, yet unknown, structure.