TY - JOUR

T1 - Weaving a classical metric with quantum threads

AU - Ashtekar, Abhay

AU - Rovelli, Carlo

AU - Smolin, Lee

PY - 1992

Y1 - 1992

N2 - 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 nonlocal operators, such as the area of a given two-surface, which can be regulated diffeomorphism invariantly and which are finite without renormalization; (ii) there exist quantum states which approximate a given metric at large scales, but such states exhibit a discrete structure at the Planck scale.

AB - 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 nonlocal operators, such as the area of a given two-surface, which can be regulated diffeomorphism invariantly and which are finite without renormalization; (ii) there exist quantum states which approximate a given metric at large scales, but such states exhibit a discrete structure at the Planck scale.

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U2 - 10.1103/PhysRevLett.69.237

DO - 10.1103/PhysRevLett.69.237

M3 - Article

AN - SCOPUS:0001067551

SN - 0031-9007

VL - 69

SP - 237

EP - 240

JO - Physical review letters

JF - Physical review letters

IS - 2

ER -