Under finite-dimensionality of local observable algebras, the reconstructed operational spacetime topology is an atomistic Boolean algebra, implying a granular cellular spacetime.
Quantum Geometry as a Relational Construct
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abstract
The problem of constructing a quantum theory of gravity is considered from a novel viewpoint. It is argued that any consistent theory of gravity should incorporate a relational character between the matter constituents of the theory. In particular, the traditional approach of quantizing a space-time metric is criticized and two possible avenues for constructing a satisfactory theory are put forward.
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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.