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Discreteness of area and volume in quantum gravity
Carlo Rovelli, Lee Smolin
We study the operator that corresponds to the measurement of volume, in non-perturbative quantum gravity, and we compute its spectrum. The operator is constructed in the loop repre…
The Chern-Simons Invariant as the Natural Time Variable for Classical and Quantum Cosmology
Lee Smolin, Chopin Soo
We propose that the Chern-Simons invariant of the Ashtekar-Sen connection is the natural internal time coordinate for classical and quantum cosmology. The reasons for this are a nu…
The fate of black hole singularities and the parameters of the standard models of particle physics and cosmology
Lee Smolin
A cosmological scenario which explains the values of the parameters of the standard models of elementary particle physics and cosmology is discussed. In this scenario these paramet…
Fermions and Topology
Lee Smolin
The canonical theory of quantum gravity in the loop representation can be extended to incorporate topology change, in the simple case that this refers to the creation or annihilati…
Cosmological Histories for the New Variables
Seth Major, Lee Smolin
Histories and measures for quantum cosmology are investigated through a quantization of the Bianchi IX cosmology using path integral techniques. The result, derived in the context…