@Exebeche,
After a brief scan, the author appears to be attempting to make a case for modelling the strong interaction between protons as a gravitational force, supposing protons to be particles on the verge of collapse into mini black holes whose additional mass density (to create an Schwarzschild radius equal to the proton effective radius) comes from the vacuum energy.
The notion of particles being, becoming, behaving like or containing black holes has been around a while and may have some credence. There's some interesting research around the possibility that particle decay (e.g. muon -> electron + others) is a process of collapse to a black hole followed by the black hole radiating its mass away as other particles. Which is intriguing. Other papers (e.g. the preon papers) take cosmological features to be fundamental particle properties also.
However, this paper has a reputation. It has not, to my knowledge, been published in a real physical journal, nor has any other paper by Haramein. The conference is not one that is known within the physical sciences community, and, while I am underqualified to judge its value (relativity and particle physics, while of interest to me, are not my area of expertise), those physicists who are qualified appear to deride it as meaningless nonsense or, at best, pure numerology.
I'd certainly recommend reading
around the paper and its reception before tackling the paper outright, though mathematically it is quite light.
Bones