Discreteness of the Volume of Space from Bohr-Sommerfeld Quantization

被引:51
作者
Bianchi, Eugenio [1 ]
Haggard, Hal M. [2 ]
机构
[1] Ctr Phys Theor Luminy, F-13288 Marseille, France
[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
关键词
QUANTUM; OPERATOR; EIGENVALUES; PRODUCT;
D O I
10.1103/PhysRevLett.107.011301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A major challenge for any theory of quantum gravity is to quantize general relativity while retaining some part of its geometrical character. We present new evidence for the idea that this can be achieved by directly quantizing space itself. We compute the Bohr-Sommerfeld volume spectrum of a tetrahedron and show that it reproduces the quantization of a grain of space found in loop gravity.
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页数:4
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