New diffeomorphism invariant states on a holonomy-flux algebra - Mathematical PhysicsReport as inadecuate




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Abstract: The theorem by Lewandowski et al. stating uniqueness of a diffeomorphisminvariant state on an algebra of quantum observables for background independenttheories of connections is based on some technical assumptions imposed on thealgebra and the diffeomorphisms. In this paper we present a class ofdiffeomorphism invariant states on an algebra of this sort, which exist whenthe algebra and the diffeomorphisms satisfy alternative assumptions.



Author: Michal Dziendzikowski, Andrzej Okolow

Source: https://arxiv.org/







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