John Baez

Lecture at the 9th Canadian Conference on General Relativity and Relativistic Astrophysics

May 24, 2001

New Developments in Canonical Quantum Gravity

The first two decades of work in loop quantum gravity were mainly devoted to kinematical issues, the most interesting results being the proof that spin networks form a basis of kinematical states and the determination of a discrete spectrum of eigenvalues for geometrical observables such as area and volume. Now this approach is beginning to serve as a framework for tackling questions of long-standing interest in quantum gravity. Here we concentrate on two: the statistical mechanics of black hole entropy and the issue of singularities in quantum cosmology. The second is particularly exciting because it gives a concrete way to test ideas on dynamics in loop quantum gravity.

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© 2001 John Baez