## Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity (1995)

Citations: | 52 - 25 self |

### BibTeX

@MISC{Smolin95linkingtopological,

author = {Lee Smolin},

title = {Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity},

year = {1995}

}

### OpenURL

### Abstract

smolin@phys.psu.edu y permanent address I. Introduction In the last years significant progress has been made towards the construction of a quantum theory of gravity in several different directions. Three of these directions, in particular, have involved the use of new ideas and mathematical structures that seem, in different ways, well suited to the problem of describing the geometry of spacetime quantum mechanically. These are string theory[1], topological quantum field theory[2, 3, 4, 5, 6, 7], and non-perturbative quantum gravity, based on the loop representation [8, 9, 10, 11, 12, 13, 14]. Furthermore, despite genuine differences, there are a number of concepts shared by these approaches, which suggests the possibility of a deeper relation between them[15, 54]. These include the common use of one dimensional rather than pointlike excitations, as well as the appearance of structures associated with knot theory, spin networks and duality. There are also senses in which each deve...