Pro [Earman 2003]: most important for present purposes: makes GR amenable to quantization procedure.
Main disadvantage [Maudlin 2002]: “metaphysical monstrosities”, esp regarding recasting GR in Hamiltonian formalism.
Pro [Earman 2003]: most important for present purposes: makes GR amenable to quantization procedure.
Main disadvantage [Maudlin 2002]: “metaphysical monstrosities”, esp regarding recasting GR in Hamiltonian formalism.
(D Schroeren’s cell phone rings]
LQG meant to be conservative approach, and can be considered a family of theories. Large parts of what follows covered in papers one can find on CW’s personal website
Loop Q Grav:
Presentation is meant to be a review or instructive, and not novel research.Two major problems to be discussed: [1] problem of time and [2] dissolution/re-emergence of S-T
E Crull here. First time blogger, long time listener.
We can apply all this to spin foams / spin nets!
The key question is this. Is there a phase which leads to smooth space times?
Some promising results! Dittrich & collaborators have found fix points from which one could extract different systems of embedding maps. Those would correspond to different (non-) realisations of ’emergence of space-time).
Task for the future: Expand the theory around this vacuum!
Coming back to the initial question: What is (quantum) space-time? Dittrich suggests the time scales for constructing an answer are ~2500ys. Challenge accepted!
An example: The Ising model.
Now moving from 1+1D to 2D!
How do we get a vacuum of a statistical system? Dittrich has the answer.
More boxes. Lots more boxes!