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Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity

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abstract

In this paper we show that there is a universal prediction for the Newtonian potential for an infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost-free at a perturbative level, the Newtonian potential always falls-off as 1/r in the infrared limit, while at short distances the potential becomes non-singular. We provide examples which can potentially test the scale of gravitational non-locality up to 0.004 eV.

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gr-qc 1 hep-th 1

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2026 2

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UNVERDICTED 2

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Eikonal, nonlocality and regular black holes

hep-th · 2026-04-20 · unverdicted · novelty 5.0

Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.

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