Knot theory and the dynamics of quantum general relativity

被引:5
|
作者
Gambini, R [1 ]
Pullin, J [1 ]
机构
[1] PENN STATE UNIV,DEPT PHYS,CTR GRAVITAT PHYS & GEOMETRY,UNIVERSITY PK,PA 16802
关键词
D O I
10.1088/0264-9381/13/11/001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We propose to interpret the action of the quantum Hamiltonian constraint of general relativity in the loop representation as a skein relation on the space of knots. Therefore, by considering knot polynomials that are compatible with that skein relation, one guarantees that all the quantum Einstein equations are solved. We give a particular example of such an invariant and discuss the consistency of the constraint algebra hr this approach.
引用
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页码:L125 / L128
页数:4
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