to what extent has loop quantum gravity lived up to the spirit of
general realtivity?

in terms of having diffemorphism invariance, producing 4d spacetime,
showing GR's behavior at plank scale, etc.?

has there been any promising attempts to create a low-energy space
that obeys GR from it?

Daniel wrote:

to what extent has loop quantum gravity lived up to the spirit of
general realtivity?

in terms of having diffemorphism invariance, producing 4d spacetime,
showing GR's behavior at plank scale, etc.?

has there been any promising attempts to create a low-energy space
that obeys GR from it?

A quantum gravity theory is expected to diverge from GR at quantum
scales. The questions a
- how well is agrees at classical scales.
- how well the predicted divergences at micro-scale agree with experiment.