S-knot
Encyclopedia
In loop quantum gravity
, an s-knot is an equivalence class of spin network
s under diffeomorphism
s. In this formalism, s-knots represent the quantum states of the gravitational field
.
Loop quantum gravity
Loop quantum gravity , also known as loop gravity and quantum geometry, is a proposed quantum theory of spacetime which attempts to reconcile the theories of quantum mechanics and general relativity...
, an s-knot is an equivalence class of spin network
Spin network
In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum mechanics. From a mathematical perspective, the diagrams are a concise way to represent multilinear functions and functions between representations of...
s under diffeomorphism
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism in the category of smooth manifolds. It is an invertible function that maps one differentiable manifold to another, such that both the function and its inverse are smooth.- Definition :...
s. In this formalism, s-knots represent the quantum states of the gravitational field
Gravitational field
The gravitational field is a model used in physics to explain the existence of gravity. In its original concept, gravity was a force between point masses...
.
External links
- Living Reviews in Relativity: Loop Quantum Gravity: Diffeomorphism invariance
- Carlo Rovelli, Black Hole Entropy from Loop Quantum Gravity, Phys.Rev.Lett. 77, 3288-3291 (1996).