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I attempt to answer the question of the title by giving an annotated list of the major results achieved, over the last six years, in the program to construct quantum general relativity using the Ashtekar variables and the loop representation. A summary of the key open problems is also included. Also included are expositions of several new results including the construction of spatially diffeomorphism invariant observables constructed by coupling general relativity to matter fields.

生成讲解博客的中文版本

生成AI智能校验的中文版本