Discreteness of the Volume of Space from Bohr-Sommerfeld Quantization

Eugenio Bianchi and Hal M. Haggard
Phys. Rev. Lett. 107, 011301 – Published 1 July 2011

Abstract

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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  • Received 15 March 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.011301

© 2011 American Physical Society

Authors & Affiliations

Eugenio Bianchi1 and Hal M. Haggard2

  • 1Centre de Physique Théorique de Luminy, case 907, F-13288 Marseille, France
  • 2Department of Physics, University of California, Berkeley, California, USA

See Also

Bohr-Sommerfeld quantization of space

Eugenio Bianchi and Hal M. Haggard
Phys. Rev. D 86, 124010 (2012)

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Vol. 107, Iss. 1 — 1 July 2011

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