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The quantum cosmological constant
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abstract
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 in \cite{Chopin-Lee} 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 $\Lambda$ and Chern-Simons time; the consequences of which will be discussed elsewhere.
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Cited by 1 Pith paper
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The physical origin of the cosmological constant: continuum limit and the analogy with the Casimir effect
The paper derives a decoherence scale of about 10^-5 meters at which the observed cosmological constant is set, using a Casimir-effect analogy to remove a free parameter.
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