Finite-resolution Gaussian regularization of (2+1)D flat spacetime induces a curved metric with integrated Gaussian curvature of -2 pi and an effective negative energy source of -1/(4G) independent of resolution scale.
Cohen-Tannoudji, J.-P
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Finite-resolution measurement induces topological curvature defects in spacetime
Finite-resolution Gaussian regularization of (2+1)D flat spacetime induces a curved metric with integrated Gaussian curvature of -2 pi and an effective negative energy source of -1/(4G) independent of resolution scale.