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Cutting out an infinite tube around $r=0$ formally removes the Schwarzschildsingularity, but without a physical mechanism this procedure seems ad hoc andartificial. In this Essay we provide such a mechanism by means of non-locality.Motivated by the Gauss law we define a suitable radius variable as the inverseof a regular non-local potential, and use this variable to model a non-singularblack hole. The resulting geometry has a de Sitter core, but for generic valuesof the regulator there is no inner horizon, saving this model from potentialissues via mass inflation. An outer horizon only exists for masses above acritical threshold, thereby reproducing the conjectured "mass gap" for blackholes in non-local theories. The geometry's density and pressure terms decreaseexponentially, thereby rendering it an almost-exact vacuum solution of theEinstein equations outside of astrophysical black holes.

Non-singular "Gauss" black hole from non-locality: a simple model with a de Sitter core, mass gap, and no inner horizon