I offer the open challenge to coordinate a worldline using the Schwarzschild metric or a transformation thereof across the event horizon with exact coordinates above, on and below the event horizon.

From what I have yet seen it cannot be done.

The event horizon is a lightlike and therefore null surface that serves as an irremovable singulartiy for timelike geodesics and worldlines. Therefore I submit that particles do not penetrate the event horizon.

Particles falling into the black hole never enter a black hole interior, therefore they must become highly energetic in extreme gravitational curvature. The behavior they exhibit is called asymptotic darkness, which is more like a phase of matter that incorporates the creation of inverted spacetime that can be thought of as 'white hole bubbles' in a kind of morass.

When I independantly discovered it I called it 'spacetime boiling' so you can also think of it like that.

Whatever the case, the white hole bubbles, (Which have hyper-pseudospherical geometry) can form Einstein-Rosen bridges with other black holes, creating mysterious curvature, and thus unknown gravity in our universe. This is where "dark matter" comes from.