Note that this is not standard physics, so any "understanding" may be wrong.

In particular:

> Within each orbital slice, electron density will almost certainly be highest at the center of the face of each orbital, and will decrease toward the nodal regions that ‘divide’ the orbitals, where electron density will be lowest (though not zero).

Experimentally, the probability density is uniform. The four sp3 orbitals are just a mathematical construct. They have overlapping densities that sum to a uniform spherical density.

> As a result of this model, we can now make far more significant conjectures about the source of its properties, like charge and mass, and even of quantization itself. More significantly, this proposed topology allows the elementary charge — the charge of the electron — to be calculated.

It would be nice to see a calculation that shows a 1/137 that is the equivalent of the charge of the electron in some nice units. I don't expect this to be possible because in mainstream physics it's an arbitrary number that is a property of the universe and it looks hard to derive from others.

(I will not be surprised if for example someone in the future calculate the mass of the muon and tauon using the mass of the electron and a combination of other constants. It looks possible, in spite there is currently no hint that this is possible.)