A clear and concise presentation of Quantum Gravity topics in the context of Quantum Geometry. In the "... `Planck regime', one must use an appropriate synthesis of general relativity and quantum physics, i.e., a quantum gravity theory. The predictions of this theory are likely to be quite different from those of general relativity. In the real, quantum world, evolution may be completely non--singular. Physics may not come to a halt and quantum theory could extend classical space--time.===
http://cgpg.gravity.psu.edu/people/Ashtekar/articles/qgfinal.pdf
Related topics: Loop quantum gravity, quantum dynamics in loop quantum gravity, quantum cosmology, black hole mechanics, quantum field theory in curved space--times, spin foams.
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http://cgpg.gravity.psu.edu/people/Ashtekar/articles/qgfinal.pdf