In diffeomorphism-invariant models, invariant content requires spatiotemporal structures beyond correlations, as correlations are invariant only in a generalized non-smooth sense and spatiotemporal relations are also invariant.
Dittrich, Partial and complete observables for Hamiltonian constrained systems, Gen
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Diffeomorphism invariance qualifies as a gauge symmetry solely in the global sense, restricting the applicability of observables and rendering correlation-based accounts of physical content unfounded.
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Diffeomorphism-Invariant Quantities in Phase Space: More than Correlations
In diffeomorphism-invariant models, invariant content requires spatiotemporal structures beyond correlations, as correlations are invariant only in a generalized non-smooth sense and spatiotemporal relations are also invariant.
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The Limitations of the Notion of `Observable' in Diffeomorphism-Invariant Models
Diffeomorphism invariance qualifies as a gauge symmetry solely in the global sense, restricting the applicability of observables and rendering correlation-based accounts of physical content unfounded.