I was reading something about "black holes", with references to hypothetical evaluations of space and time. Since there is no background for theory before Einstein's field equations assigning a geometry to space-time, and a framework for quantum mechanics relies on background theory.
I've read that Abhay Ashtekar reformulated Einstein's field equations of general relativity, using what have come to be known as Ashtekar variables. Carlo Rovelli and Lee Smolin used this formalism to introduce the loop representation of quantum general relativity, which was soon developed by Ashtekar, Rovelli, Smolin and many others.
In the Ashtekar formulation, the fundamental objects are a rule for parallel transport (technically, a connection) and a coordinate frame (called a vierbein) at each point. Because the Ashtekar formulation was background-independent, it was possible to use Wilson loops (gauge theory) as the basis for a nonperturbative quantization of gravity. Explicit (spatial) diffeomorphism invariance of the vacuum state plays an essential role in the regularization of the Wilson loop states.
What's the viability of finding the quantum theory of gravity? I wonder what other questions would be answered.
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I've read that Abhay Ashtekar reformulated Einstein's field equations of general relativity, using what have come to be known as Ashtekar variables. Carlo Rovelli and Lee Smolin used this formalism to introduce the loop representation of quantum general relativity, which was soon developed by Ashtekar, Rovelli, Smolin and many others.
In the Ashtekar formulation, the fundamental objects are a rule for parallel transport (technically, a connection) and a coordinate frame (called a vierbein) at each point. Because the Ashtekar formulation was background-independent, it was possible to use Wilson loops (gauge theory) as the basis for a nonperturbative quantization of gravity. Explicit (spatial) diffeomorphism invariance of the vacuum state plays an essential role in the regularization of the Wilson loop states.
What's the viability of finding the quantum theory of gravity? I wonder what other questions would be answered.
.

LCHIEN
Loring in Katy, TX USA



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