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On Deriving Space-Time From Quantum Observables and States

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arxiv hep-th/0304179 v2 pith:MMT5WAL7 submitted 2003-04-21 hep-th math-phmath.MP

S.J. Summers , R.K. White This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords quantumspace-timeassumptionscompletelycomplicationsdataderivingdetermine
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We prove that, under suitable assumptions, operationally motivated data completely determine a space-time in which the quantum systems can be interpreted as evolving. At the same time, the dynamics of the quantum system is also determined. To minimize technical complications, this is done in the example of three-dimensional Minkowski space.

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Cited by 1 Pith paper

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  1. Spacetime granularity from finite-dimensionality of local observable algebras

    gr-qc 2019-08 accept novelty 6.0 of 10

    Under finite-dimensionality of local observable algebras, the reconstructed operational spacetime topology is an atomistic Boolean algebra, implying a granular cellular spacetime.

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