Just making suggestions is all. I am more than willing to help alter the more egregious parts of the system (which I mentioned previously).

[quote=@JohnSolaris]there are no quantum effects here
[/quote]

This alarms me a bit, though. You're saying that there is no electromagnetism (which governs nearly all of macrochemistry as we know it), no gravitation (which should speak for itself), no strong force (which allows atoms to exist) and no weak force (which allows chemical interaction)?

Anyway, ignoring that, I've actually spent a good hour and a half looking over the chart, trying to see how it can be refined without taking it apart. Taking sources mostly from classical alchemy, much of the system falls apart due to it resting on an axis of three elements rather than four. "Life" is also a major wrench in the works, as it is not matter, energy or an interaction. But, regardless, I do have some suggestions.

"Ice" may become "Crystal" (representing solidification and atomic geometry in solid forms).

"Plant" may become "Salt" (representing the baseline element of life, and solid organic substances).

"Life" may become "Vigor" (representing animation in physical bodies, and the removal thereof).

"Electric" may become "Ion" (representing dynamic matter in an excited state).

"Slime" may become "Elixir" (representing primordial organic matter and the process of putrefaction).

"Chemical" may become "Azoth" (representing chemical "perfection," the pursuit of which, and the ideal substance for dissolution).

Hopefully that works out for everyone involved. Me personally, I would also give out pseudo-Greek/Latin names to the remaining elements, just so they fit stylistically.