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Elementary Quantum Geometry

These Lecture Notes provide an elementary introduction to the quantization of two-dimensional quantum gravity. Nothing beyond undergratuate physics and mathematic is required. Explicit formulas for the partition functions for universes with n boundaries are derived, as well as for the so-called two-point function. The latter shows explicitly that the fractal dimension of a typical two-dimensional quantum universe is four.

preprint2022arXivOpen access
Jan Ambjorn
gr-qchep-lathep-th
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Jan Ambjorn

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