Rain water is very slightly acidic and almost devoid of any mineral content, I don't think that varies much due to location. I've always heard that rain also contains traces of H2O2, and I've been using it to mist with for years in a very dilute solution and using heavier concentrations to deal with fungal issues. Foliar feeding is a fickle thing, and very easy to over do, I generally avoid it and it doesn't seem to have much affect on growth rates anyway. There's no rushing Psychotria Viridis that I know of, as with a lot of the tropicals, it takes it's sweet time and is just naturally a slow grower. Heat and humidity... and a lot of patience is the trick, but if you're just impatient or want to experiment, 24 hour lighting might be an option but this can stress some plants and I've no idea what this might do for potency but it can cut the time in half for propagation by leaf cuttings. Propagation rather than growth rate I think is the trick if you're looking for mass.
The fastest grower I know of in terms of tropical entheogens is probably Justica pectoralis, var. stenophylla, if you keep that one well watered and lit properly, it grows incredibly fast, but there's some debate about it's chemical profile. It's a beauty though and has a distinct cinnamon taste and some other pretty amazing medicinal qualities, one of my favs.
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