Can the force of a black hole alone create new elements out of matter that mankind has and will not be able to create?

One thing is for sure

They would not be the Elements that we know of

I guess quarks and electrons under the immense pressure of a black hole could produce any number of "transient states of matter"

No. It's colliding neutron stars that generate the interesting elements.

Sort of.

First, there are no places on the Periodic Chart for new elements to be put, other than the top. These are all very unstable so a Black Hole might be abl to make them, but not for any real length of time.

Since black hole consist of energy that can perform work with subject to time dimension of being temporary . Then when black hole create new elements out of matter then it must be subjected to non-limitation of time dimension and would continue eternally.

Anything that falls into a black hole can never get out. New elements might be created as the matter is squeezed but it quickly is crushed out of existence at the singularity. Or into a form of matter/energy we know nothing about near the singularity.

Supernovas make most of the elements we have on earth.

Black hole tends towards singularity where gravity is infinite as well as density but it's a singularity.

My thought is no - but there's really no way to tell what happens within the Event Horizon... Kip Thorne, an expert on black holes, describes matter as 'being destroyed' as it falls in, with nothing left but it's mass, which is thought to be applied to the singularity within. From 'destroyed matter' - I doubt anything could be *considered* matter any longer...

Inside a black hole there maybe an element so dense that it's atomic weight would be immeasurable.

I would guess that the force would tear down atomic nuclei...not build them up to create new elements.