  Cutting out an infinite tube around $r=0$ formally removes the Schwarzschild
singularity, but without a physical mechanism this procedure seems ad hoc and
artificial. 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 inverse
of a regular non-local potential, and use this variable to model a non-singular
black hole. The resulting geometry has a de Sitter core, but for generic values
of the regulator there is no inner horizon, saving this model from potential
issues via mass inflation. An outer horizon only exists for masses above a
critical threshold, thereby reproducing the conjectured "mass gap" for black
holes in non-local theories. The geometry's density and pressure terms decrease
exponentially, thereby rendering it an almost-exact vacuum solution of the
Einstein equations outside of astrophysical black holes.
