Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-03-30
Phys.Rev.Lett.69:237-240,1992
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, no figures
Scientific paper
10.1103/PhysRevLett.69.237
Results that illuminate the physical interpretation of states of nonperturbative quantum gravity are obtained using the recently introduced loop variables. It is shown that: i) While local operators such as the metric at a point may not be well-defined, there do exist {\it non-local} operators, such as the area of a given 2-surface, which can be regulated diffeomorphism invariantly and which are finite {\it without} renormalization; ii)there exist quantum states which approximate a given flat geometry at large scales, but such states exhibit a discrete structure at the Planck scale; iii) these results are tied together by the fact that the spectra of the operators that measure the areas of surfaces are quantized in integral units of the Planck area.
Ashtekar Abhay
Rovelli Carlo
Smolin Lee
No associations
LandOfFree
Weaving a classical geometry with quantum threads does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Weaving a classical geometry with quantum threads, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weaving a classical geometry with quantum threads will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-489363