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1998 ; 1
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English Wikipedia
Loop Quantum Gravity
#MMPMID28937180
Rovelli C
Living Rev Relativ
1998[]; 1
(1
): 1
PMID28937180
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The problem of finding the quantum theory of the gravitational field, and thus
understanding what is quantum spacetime, is still open. One of the most active of
the current approaches is loop quantum gravity. Loop quantum gravity is a
mathematically well-defined, non-perturbative and background independent
quantization of general relativity, with its conventional matter couplings.
Research in loop quantum gravity today forms a vast area, ranging from
mathematical foundations to physical applications. Among the most significant
results obtained are: (i)The computation of the physical spectra of geometrical
quantities such as area and volume, which yields quantitative predictions on
Planck-scale physics.(ii)A derivation of the Bekenstein-Hawking black hole
entropy formula.(iii)An intriguing physical picture of the microstructure of
quantum physical space, characterized by a polymer-like Planck scale
discreteness. This discreteness emerges naturally from the quantum theory and
provides a mathematically well-defined realization of Wheeler's intuition of a
spacetime "foam". Long standing open problems within the approach (lack of a
scalar product, over-completeness of the loop basis, implementation of reality
conditions) have been fully solved. The weak part of the approach is the
treatment of the dynamics: at present there exist several proposals, which are
intensely debated. Here, I provide a general overview of ideas, techniques,
results and open problems of this candidate theory of quantum gravity, and a
guide to the relevant literature.
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