Bach33
Feb23-10, 03:29 PM
1. The problem statement, all variables and given/known data
This is more of a general question around quantum gravity and abstract geometry: It seems to me that if the geometry of space happened to be more conveniently mappable as a 3D graph, or network, with unit interval spacing between all adjacent points, then most of the problems that quantum gravity aims to solve would be very straightforward.
2. Relevant equations
I am wondering to what extent it is because a "quantum interval network" is not the geometry of space (the basic space-filling problem), that it is necessary in quantum gravity to consider e.g. perturbation, renormalization, and degrees of freedom etc?
3. The attempt at a solution
This is more of a general question around quantum gravity and abstract geometry: It seems to me that if the geometry of space happened to be more conveniently mappable as a 3D graph, or network, with unit interval spacing between all adjacent points, then most of the problems that quantum gravity aims to solve would be very straightforward.
2. Relevant equations
I am wondering to what extent it is because a "quantum interval network" is not the geometry of space (the basic space-filling problem), that it is necessary in quantum gravity to consider e.g. perturbation, renormalization, and degrees of freedom etc?
3. The attempt at a solution