Loop Quantum Gravity
Abstract
Loop quantum gravity is a nonperturbative and background independent quantization of general relativity, with its conventional matter couplings. The research in loop quantum gravity forms a vast area, ranging from mathematical foundations to physical applications. Among the significative results obtained are: (i) The computation of the physical spectra of geometrical quantities such as area and volume. (ii) A derivation of the BekensteinHawking black hole entropy formula. (iii) An intriguing physical picture of the microstructure of quantum physical space, characterized by a polymerlike Planck scale discreteness, which emerges naturally from the quantum theory and provides a mathematically welldefined realization of Wheeler's intuition of a spacetime ``foam''. I will summarize the main results and the present state of this approach.
 Publication:

19th Texas Symposium on Relativistic Astrophysics and Cosmology
 Pub Date:
 December 1998
 Bibcode:
 1998tx19.confE..96R