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Feynman's i-epsilon prescription for quantum field theoretic propagators has a quite natural reinterpretation in terms of a slight complex deformation of the Minkowski spacetime metric.
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D. Kothawala, “Action and Observer dependence in Euclidean quantum gravity”, Class. Quant. Grav. 35
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P. Martín-Moruno and M. Visser, “Essential core of the Hawking–Ellis types”, Class. Quant. Grav. 35
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2021
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