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What can we learn from the study of non-perturbative quantum general relativity?
Lee Smolin
I attempt to answer the question of the title by giving an annotated list of the major results achieved, over the last six years, in the program to construct quantum general relati…
Weaving a classical geometry with quantum threads
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
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) Whi…
Extremal variety as the foundation of a cosmological quantum theory
Julian Barbour, Lee Smolin
Dynamical systems of a new kind are described, which are motivated by the problem of constructing diffeomorphism invariant quantum theories. These are based on the extremization of…
Self Duality and Quantization
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic…
The G_Newton --> 0 Limit of Euclidean Quantum Gravity
Lee Smolin
Using the Ashtekar formulation, it is shown that the G_{Newton} --> 0 limit of Euclidean or complexified general relativity is not a free field theory, but is a theory that describ…
Gravitons and Loops
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general rel…
Recent Developments in Non-Perturbative Quantum Gravity
Lee Smolin
New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which g…