Author/Authors :
Freidel، L نويسنده , , Livine، E R نويسنده , , Rovelli، C نويسنده ,
Abstract :
We study the spectrum of the length and area operators in Lorentzian loop quantum gravity, in 2 + 1 spacetime dimensions. We find that the spectrum of spacelike intervals is continuous, whereas the spectrum of timelike intervals is discrete. This result contradicts the expectation that spacelike intervals are always discrete. On the other hand, it is consistent with the results of the spin foam quantization of the same theory.
Keywords :
Aliphatic Substrates , Carbonylation , (alpha)Carbon , Cycloalkyl Halides , Nitroalkanes , Carbanions , Nitrogen Nucleophiles , Sulfur Nucleophiles , Oxygen , Phosphorus Nucleophiles , sp2 Carbons , Cumyl , Nitrobenzyl , sp3 Carbons , Heterocyclic Analogues , Photostimulated Reactions , Geminal Dihalides , Radicals Intermediates , Trihalides , Regiochemistry , Alicyclic Aliphatic Substrates , stereochemistry , Triorganylstannyl , EWG , Neopentyl
