#### John Baez

#### April 27, 1999

## Quantum Geometry and Black Hole Entropy

Starting from a Hamiltonian formulation of general relativity with
boundary conditions that describe the horizon of a non-rotating
black hole, one can apply techniques from non-perturbative canonical
quantum gravity to determine the quantum states of such a black hole.
In this approach, the quantum geometry of the region outside the black hole
is described using spin networks, while the quantum geometry of the
horizon itself is described by a U(1) Chern-Simons theory. Counting
the surface degrees of freedom for a horizon of fixed area, one can
show that the entropy of a large non-rotating black hole is proportional to
its horizon area.

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For more on this subject try these papers:

© 1999 John Baez

baez@math.removethis.ucr.andthis.edu