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Quantum Mechanics of Geometry

Abhay Ashtekar
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Abstract

Over the past six years, a detailed framework has been constructed to unravel the quantum nature of the Riemannian geometry of physical space. A review of these developments is presented at a level which should be accessible to graduate students in physics. As an illustrative application, I indicate how some of the detailed features of the micro-structure of geometry can be tested using black hole thermodynamics. Current and future directions of research in this area are discussed.

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Abhay Ashtekar. 1999-01-08. Quantum Mechanics of Geometry. https://arxiv.org/abs/gr-qc/9901023

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