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Spin networks and quantum gravity.

We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation and the connection… Expand

Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity.

- De Pietri R, Rovelli
- Physics, Medicine
- Physical review. D, Particles and fields
- 13 February 1996

We summarize the basics of the loop representation of quantum gravity and describe the main aspects of the formalism, including its latest developments, in a reorganized and consistent form.… Expand

Quantum mechanics without time: A model.

- Rovelli
- Physics, Medicine
- Physical review. D, Particles and fields
- 15 October 1990

The quantization of a simple dynamical system in which a unitary time evolution appears only within a certain approximation is studied in detail. The probabilistic interpretation of quantum mechanics… Expand

Black Hole Entropy from Loop Quantum Gravity.

- Rovelli
- Physics, Medicine
- Physical review letters
- 30 March 1996

We study the idea that the statistical entropy governing thermal interactions of a black hole with its exterior is determined by the microstates of the hole having distinct effects on the exterior,… Expand

Knot theory and quantum gravity.

A new represenatation for quantum general relativity is described, which is defined in terms of functionals of sets of loops in three-space. In this representation exact solutions of the quantum… Expand

Time in quantum gravity: An hypothesis.

- Rovelli
- Physics, Medicine
- Physical review. D, Particles and fields
- 15 January 1991

A solution to the issue of time in quantum gravity is proposed. The hypothesis that time is not defined at the fundamental level (at the Planck scale) is considered. A natural extension of canonical… Expand

Time of arrival in quantum mechanics.

We study the problem of computing the probability for the time of arrival of a quantum particle at a given spatial position. We consider a solution to this problem based on the spectral decomposition… Expand

Weaving a classical metric with quantum threads.

Results that illuminate the physical interpretation of states of nonperturbative quantum gravity are obtained using the recently introduced loop variables. It is shown that (i) while local operators… Expand

The physical Hamiltonian in nonperturbative quantum gravity.

A quantum Hamiltonian which evolves the gravitational field according to time as measured by constant surfaces of a scalar field is defined through a regularization procedure based on the loop… Expand

Quantization of dynamical systems with Chern-Simons terms.

- Boyanovsky, Newman, Rovelli
- Physics, Medicine
- Physical review. D, Particles and fields
- 15 February 1992

We propose a novel approach to the quantization of Chern-Simons theories in the Hamiltonian framework that is manifestly gauge invariant and does not require gauge fixing. This approach is based on… Expand

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