Not specifically nonhuman magic, unless… see discussions on extraterrestrial humanity or what comes close to it. But in the general vicinity of my home, there was a particular type of magical technology that was used and researched on by all the humanoid species around, basically whoever had the talent, the brains, and the opportunity to make it into the circles. Note, I wasn’t one of them, and so I can’t explain much about it at all. But it did land me in the identity condition and with the biography that I got through various instances, so it was definitely a relevant factor of my life. I don’t think it is anything applicable here though, and that might not be such a bad thing. Our old world was enough really.

Hmm I’d say so, without knowing too many specifics myself, partly based on the things that were possible. I think that world must have allowed for a lot more manipulation, or else people developed something that is not to be found here so far.

There was a strong tie-in with technology and physics, which I think some people on this world do to some degree, but I don’t know enough about that yet – that’s actually something I’m interested in looking at, out of sheer curiosity, how much it resembles what we had.

I think I see a difference in general tendencies from the mainstream magic here of several traditions, where one works with an integrative approach of body and mind, and tries to act with the whole of it, holistic approaches etc. – correct me if I’m wrong. Also including nature a lot of the time. In our place the approach was to separate them further, and work on that, attempting to eliminate the need for the body, nature, the physical world. Because they were endangered and continuously taking damage. So instead of healing type magic for that, and becoming one with nature etc, the trend went strongly towards not relying on them anymore at all, in particular with those who were more in the know about the bad state of the physical world.

From being in a noncorporeal form, Arethinn's description of a “field-of-presence of a non-physical being” is also a lot how we recall it. A field with a more-or-less distinct form and some amount of simulation of physicality, but essentially energetic in nature nevertheless.
While the transportation/transmutation process itself probably involved some kind of magic or other, we didn't do any particular goal-oriented magig once we were in that form, but terms of resonation and “pulse” and “frequencies” as Tenshi said also come close. The “weaving” Jarin mentions is a metaphor I'd use for the energetic in-system interaction while in that form, the specific interaction between two partly merged people.

So that's what we can relate to in the English terms used here so far. And we still fail badly at expressing the experience in any language we speak. Once I tried writing it down for myself, just to see if I could express it and pin it down in words, and gave up frustrated.