Scale Dependent Metric and Minimal Length in QEG
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The possibility of a minimal physical length in quantum gravity is discussed within the asymptotic safety approach. Using a specific mathematical model for length measurements ("COM microscope") it is shown that the spacetimes of Quantum Einstein Gravity (QEG) based upon a special class of renormalization group trajectories are "fuzzy" in the sense that there is a minimal coordinate separation below which two points cannot be resolved.
10 pages, 1 figure, Talk given by M.R. at IRGAC 2006, Barcelona, Spain, July 11-15, 2006
10 pages, 1 figure, Talk given by M.R. at IRGAC 2006, Barcelona, Spain, July 11-15, 2006