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The linearization of the Kodama state

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arxiv hep-th/0310224 v3 pith:4V6WCCIM submitted 2003-10-23 hep-th gr-qc

Laurent Freidel , Lee Smolin This is my paper
classification hep-thgr-qc
keywords statekodamatheorydesitterlinearizationlinearizednormalizablespacetime
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We study the question of whether the linearization of the Kodama state around classical deSitter spacetime is normalizable in the inner product of the theory of linearized gravitons on deSitter spacetime. We find the answer is no in the Lorentzian theory. However, in the Euclidean theory the corresponding linearized Kodama state is delta-functional normalizable. We discuss whether this result invalidates the conjecture that the full Kodama state is a good physical state for quantum gravity with positive cosmological constant.

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  1. The Cosmological Constant from a Quantum Gravitational $\theta$-Vacua and the Gravitational Hall Effect

    gr-qc 2025-06 conditional novelty 6.0 of 10

    The cosmological constant is related to the topological theta angle by theta = 12 pi^2 / (Lambda l_Pl^2), suggesting Lambda is topologically protected.

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