Abstract
A quantized space-time metricg ik (x) is investigated within a suitably modified axiomatic approach. Coordinate distancesdx are called absolutely space-like ifg ik (x)dx i dx k is negative definite. For such distances, fields are assumed to commute or anticommute, respectively (generalized locality). The quantum fluctuations of the light coneg ik (x)dx i dx k=0 are shown to extend to distancesdx which are space-like with respect to the Minkowski metric. Generalized locality is therefore weaker than the usual locality postulate.
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Supported in part by the Deutsche Forschungsgemeinschaft.
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Kraus, K. Quantum theory of gravitation and locality postulate. Commun.Math. Phys. 9, 339–346 (1968). https://doi.org/10.1007/BF01654287
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DOI: https://doi.org/10.1007/BF01654287