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Applications of Canonical Quantum Gravity to Cosmology
Open AccessArticle

The Quantum Cosmological Constant

Department of Physics, Brown University, Providence, RI 02906, USA
Theoretical Physics Group, The Blackett Laboratory, Imperial College, Prince Consort Rd., London SW7 2BZ, UK
Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2J 2Y5, Canada
Author to whom correspondence should be addressed.
Symmetry 2019, 11(9), 1130;
Received: 2 July 2019 / Revised: 15 August 2019 / Accepted: 16 August 2019 / Published: 5 September 2019
(This article belongs to the Special Issue Modified Theories of Gravity)
We present an extension of general relativity in which the cosmological constant becomes dynamical and turns out to be conjugate to the Chern–Simons invariant of the Ashtekar connection on a spatial slicing. The latter has been proposed Soo and Smolin as a time variable for quantum gravity: the Chern–Simons time. In the quantum theory, the inverse cosmological constant and Chern–Simons time will then become conjugate operators. The “Kodama state” gets a new interpretation as a family of transition functions. These results imply an uncertainty relation between Λ and Chern–Simons time; the consequences of which will be discussed elsewhere. View Full-Text
Keywords: Cosmological Constant; Quantum Gravity; Varying Constants Cosmological Constant; Quantum Gravity; Varying Constants
MDPI and ACS Style

Alexander, S.; Magueijo, J.; Smolin, L. The Quantum Cosmological Constant. Symmetry 2019, 11, 1130.

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