Abstract
The random zero point field induces the probabilistic aspect in the geometry of background spacetime. The corrections to the metric tensor for Riemannian or pseudo-Euclidean spaces are calculated by averaging over the ensemble of random A μ(x). This provides a cut-off procedure which yields a finite energy density for the vacuum state.
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Roy, S. Stochastic geometry, random zero point field and quantum correction to the metric. Acta Appl Math 26, 209–218 (1992). https://doi.org/10.1007/BF00047203
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DOI: https://doi.org/10.1007/BF00047203