There appear to be 2 questions raised by the article.
The first being does the structure of black holes show that there is non locality? The second being why doesn't an electron fall into the nucleus of an atom?
Assumptions have been made about black holes and the theory has grown out of those assumptions.In my opinion those original assumptions are incorrect.
A galaxy can be visualised as a gravity well as there is a greater density of matter and greater angular momentum near the centre. Rather than the 4th dimension being a time dimension it is a scalar spatio-energetic dimension.So the galaxy is spread not just in 3 dimensional space but 4 dimensional space. The centre of the galaxy is much further afore along the 4th dimension, that is extended into afore space.
Thus it was not present in the observable universe when the electromagnetic image was formed. That is not in the future, but is space ahead along the 4th dimension. As all matter and light progresses afore along this dimension no light would travel back to provide an image of that portion of the galaxy.Information entering the black hole would not be destroyed but would no longer be accessible to an observer in the visible 3D universe.
With regard to the electron in an atom. The orbitals within the atom, according to the Prime quaternion model, are spread out along the scalar dimension,intersecting visible 3D space. The atom itself can be visualised as a minute gravity well.The densest matter the protons and neutrons being at the bottom of the well and the electrons arranged in levels up the walls of the well, giving positions that all intersect within visible 3D space.
Protons and electrons oscillate along the 4th dimension.Into afore space and back to visible 3D space. This oscillation gives tidal forces that result in these particle's charge." Despite their same charge, electrons can pair if they can avoid each other, by one being in afore space while the other is in visible space and vice versa, so that they are able to avoid each other by occupying different 4th dimensional spatial positions even though they have 3D spacial proximity. If both electrons were to oscillate in unison, so that they were both in visible space together and afore space together then they would repel.
Protons and electrons have 4th dimensional oscillation. Neutons do not oscillate along the 4th dimension.The proton being much larger than an electron produced a much larger disturbance of longer wavelength than that of an electron. The overall result of the oscillations is net attraction of the electron towards the proton along the 4th dimension.
However the closer to the nucleus, the greater the energetic barrier that must be surmounted to move even closer still.This barrier is caused by the oscillation of the proton. It can be thought of as spherical standing waves extending outwards from the nucleus in rings. In areas outside of the orbitals there is a high density of "unknowable substance" corresponding to a peak of a wave and within the orbital lower density, corresponding to a trough between the waves. The electron within its orbital could be thought of as occupying an energetic trough with an energetic barrier on either side.The electron would fall into the proton if it was able to, but close to the proton there is an insurmountable barrier, that has been formed by the oscillation of that proton.
This is of course only a speculative theoretical model for the structure and operation of the atom.However it is consistent with other aspects of the Prime quaternion model, fits with Bohr's structure of the atom and observations of the behaviour of sub atomic particles.
Can there be non local effects? Yes because particles observed within 3D space also have a 4th dimensional existence. Effects can be produced from interactions occurring outside of visible 3D space. The cause is un-knowable because no information is obtainable from afore space, other than the particle itself.Though from the perspective of the particle this is occurring within its local environment.