Black holes are extremely massive objects with a gravitational pull so strong that not even light can escape from their vicinity. While black holes can certainly exert a powerful gravitational force, it is important to note that the strong nuclear force, which is responsible for binding quarks together within atomic nuclei, operates on a different scale and under different conditions.
The strong nuclear force is a fundamental force of nature that acts between quarks, the elementary particles that make up protons and neutrons. It is a short-range force that becomes significant only when quarks are within a distance of about 10^(-15) meters from each other, which is roughly the size of an atomic nucleus. In this regime, the strong force overcomes the electromagnetic repulsion between positively charged protons and binds the quarks together to form nucleons.
Black holes, on the other hand, have a gravitational pull that acts on macroscopic scales, affecting objects and particles on much larger distances. The gravitational force of a black hole becomes significant as an object gets closer to its event horizon, the boundary beyond which nothing can escape. However, this gravitational force is not expected to have any direct effect on the strong nuclear force that binds quarks together within nucleons.
In summary, while black holes possess an incredibly strong gravitational force, it is unlikely that their gravity would directly impact the strong nuclear force and cause the duplication of quark pairs. These two forces operate on different scales and have different mechanisms.