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The Cornell University pre-print server is the best place for free, legal access to quantum gravity research. Search for "Gambini" or "Pullin" to find papers that mirror the content of their famous "First Course" book. 3. Google Scholar a first course in loop quantum gravity pdf.iso
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This is the historical turning point for LQG. Abhay Ashtekar introduced a new set of variables (connections and triads) that make the equations of General Relativity look much more like the equations of Yang-Mills theory (the Standard Model of particle physics). This