Knot theory and a physical state of quantum gravity

Details Knot theory and a physical state of quantum gravity Knot theory and a physical state of quantum gravity

2005-05-09

arxiv.org/abs/hep-th/0505069v3

Class.Quant.Grav.23:R63-R90,2006

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 4 figures; review paper; v2: typos corrected and references added; v3: extensively rewritten and corrected; introduc

Scientific paper

10.1088/0264-9381/23/4/R01

We discuss the theory of knots, and describe how knot invariants arise naturally in gravitational physics. The focus of this review is to delineate the relationship between knot theory and the loop representation of non-perturbative canonical quantum general relativity (loop quantum gravity). This leads naturally to a discussion of the Kodama wavefunction, a state which is conjectured to be the ground state of the gravitational field with positive cosmological constant. This review can serve as a self-contained introduction to loop quantum gravity and related areas. Our intent is to make the paper accessible to a wider audience that may include topologists, knot-theorists, and other persons innocent of the physical background to this approach to quantum gravity.

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