Under finite-dimensionality of local observable algebras, the reconstructed operational spacetime topology is an atomistic Boolean algebra, implying a granular cellular spacetime.
On Deriving Space-Time From Quantum Observables and States
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abstract
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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2019 1verdicts
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Spacetime granularity from finite-dimensionality of local observable algebras
Under finite-dimensionality of local observable algebras, the reconstructed operational spacetime topology is an atomistic Boolean algebra, implying a granular cellular spacetime.