1.1k citations · 4.7k across the 104 of their papers we have counts for
21 papers · 1 filter
Wormholes and Entanglement
John C. Baez, Jamie Vicary
Maldacena and Susskind have proposed a correspondence between wormholes and entanglement, dubbed ER=EPR. We study this in the context of 3d topological quantum field theory, where…
Teleparallel Gravity as a Higher Gauge Theory
John C. Baez, Derek K. Wise
We show that general relativity can be viewed as a higher gauge theory involving a categorical group, or 2-group, called the teleparallel 2-group. On any semi-Riemannian manifold M…
Quantization of strings and branes coupled to BF theory
John C. Baez, Alejandro Perez
BF theory is a topological theory that can be seen as a natural generalization of 3-dimensional gravity to arbitrary dimensions. Here we show that the coupling to point particles t…
Exotic Statistics for Strings in 4d BF Theory
John C. Baez, Derek K. Wise, Alissa S. Crans
After a review of exotic statistics for point particles in 3d BF theory, and especially 3d quantum gravity, we show that string-like defects in 4d BF theory obey exotic statistics…
Asymptotics of 10j symbols
John C. Baez, J. Daniel Christensen, Greg Egan
The Riemannian 10j symbols are spin networks that assign an amplitude to each 4-simplex in the Barrett-Crane model of Riemannian quantum gravity. This amplitude is a function of th…
Spin Foam Models of Riemannian Quantum Gravity
John C. Baez, J. Daniel Christensen, Thomas R. Halford +1
Using numerical calculations, we compare three versions of the Barrett-Crane model of 4-dimensional Riemannian quantum gravity. In the version with face and edge amplitudes as desc…
Uncertainty in Measurements of Distance
John C. Baez, S. Jay Olson
Ng and van Dam have argued that quantum theory and general relativity give a lower bound of L^{1/3} L_P^{2/3} on the uncertainty of any distance, where L is the distance to be meas…
Positivity of Spin Foam Amplitudes
John C. Baez, J. Daniel Christensen
The amplitude for a spin foam in the Barrett-Crane model of Riemannian quantum gravity is given as a product over its vertices, edges and faces, with one factor of the Riemannian 1…
The Meaning of Einstein's Equation
John C. Baez, Emory F. Bunn
This is a brief introduction to general relativity, designed for both students and teachers of the subject. While there are many excellent expositions of general relativity, few ad…
Integrability for Relativistic Spin Networks
John C. Baez, John W. Barrett
The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin networ…
Spin Foam Perturbation Theory
John C. Baez
We study perturbation theory for spin foam models on triangulated manifolds. Starting with any model of this sort, we consider an arbitrary perturbation of the vertex amplitudes, a…
An Introduction to Spin Foam Models of Quantum Gravity and BF Theory
John C. Baez
In loop quantum gravity we now have a clear picture of the quantum geometry of space, thanks in part to the theory of spin networks. The concept of `spin foam' is intended to serve…
The Quantum Tetrahedron in 3 and 4 Dimensions
John C. Baez, John W. Barrett
Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points corres…
Higher-Dimensional Algebra and Planck-Scale Physics
John C. Baez
This is a nontechnical introduction to recent work on quantum gravity using ideas from higher-dimensional algebra. We argue that reconciling general relativity with the Standard Mo…
Quantum Geometry and Black Hole Entropy
A. Ashtekar, J. Baez, A. Corichi +1
A `black hole sector' of non-perturbative canonical quantum gravity is introduced. The quantum black hole degrees of freedom are shown to be described by a Chern-Simons field theor…
Spin Foam Models
John C. Baez
While the use of spin networks has greatly improved our understanding of the kinematical aspects of quantum gravity, the dynamical aspects remain obscure. To address this problem,…
Degenerate Solutions of General Relativity from Topological Field Theory
John C. Baez
Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4-manifold M from certain solutions of 2-dimensional BF th…
Spin Networks in Nonperturbative Quantum Gravity
John C. Baez
A spin network is a generalization of a knot or link: a graph embedded in space, with edges labelled by representations of a Lie group, and vertices labelled by intertwining operat…
Quantum Gravity Hamiltonian for Manifolds with Boundary
John Baez, Javier P. Muniain, Dardo Piriz
In canonical quantum gravity, when space is a compact manifold with boundary there is a Hamiltonian given by an integral over the boundary. Here we compute the action of this `boun…
Spin Network States in Gauge Theory
John C. Baez
Given a real-analytic manifold M, a compact connected Lie group G and a principal G-bundle P -> M, there is a canonical `generalized measure' on the space A/G of smooth connections…
Knots and Quantum Gravity: Progress and Prospects
John Baez
Recent work on the loop representation of quantum gravity has revealed previously unsuspected connections between knot theory and quantum gravity, or more generally, 3-dimensional…