Discreteness of the volume of space from Bohr-Sommerfeld quantization

Details Discreteness of the volume of space from Bohr-Sommerfeld quantization Discreteness of the volume of space from Bohr-Sommerfeld quantization

2011-02-26

arxiv.org/abs/1102.5439v2

Phys.Rev.Lett.107:011301,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures; v2, to appear in PRL

Scientific paper

10.1103/PhysRevLett.107.011301

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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