RealQM is Free of Self-Interaction

The big unsolved problem of Quantum Field Theory QFT is infinities arising from self-interaction, which have to be removed by techniques of renormalisation. Self-interaction arises because QFT is not a physical ontological theory of what is, but a mathematical formalism lacking physical reality and filled with mystery. Standard Quantum Mechanics also suffers from self-interaction, appearing as an unresolved main problem of Density Functional Theory. 

In Newton's theory of gravitation the gravitational force between two (point) masses at distance $r>0$ scales with $r^{-2}$, where infinity with $r=0$ does not occur, because the (point) masses do not occupy the same spot in space; they have individuality and do not sit on top of each other. This means that there is no self-interaction in Newton's mechanics. 

Quantum Mechanics QM is claimed to be different from Newton's mechanics in that electrons can overlay if they have opposite spin, that is, different electrons can occupy the same spot. This opens to self-interaction because overlaying electrons loose identity and so can interact with themselves. In short, QM is a non-physical (contradictory) theory and as such is very problematic, even if it sometimes produces results in agreement with observation (like a stand-still clock).

RealQM is a new approach to atom physics in the spirit of classical continuum mechanics based on non-overlapping electron densities without self-interaction. Like Newton's mechanics, RealQM is free of this defect. 

RealQM is computable for atoms/molecules with many electrons and seems to capture real physics, with code examples in preceding posts. The code essentially consists of 3 lines expressing energy minimisation by update of (i) electron densities, (ii) electron/kernel potentials and (iii) free boundary between different electrons to reach continuity of electron density.  Test yourself!