Any sufficiently advanced technology is indistinguishable from magic
That said, lets dig deep into this.
Method 1 : Bending Reality
Magic is a way to bend reality itself, allowing imagination to take corporeal form, this is where the "coaxing to interact" part comes into play. If you can imagine it, it can "be", that is to say, magic allows the user to liberate himself from the bonds of physical laws. What would limit you from becoming god-like, would be the laws which govern magic itself.
Now if we take this view, "enchantment" becomes quite simple. There are limited things we can do to items when we enchant them (limited by our imagination!), we can make things sharper, or lighter, or harder, or sentient (so that a weapon fights with its own will), we can make it ignite or freeze whatever it touches, we can also alter its dimensions, making it longer or shorter, thicker or thinner at will. The role of magic is to provide some sort of bridge between imagination and reality; once the "enchantment" is finished, reality simply adjusts itself to accommodate whatever change has been induced. The key here, is that this adjustment need not be known to the enchanter. Maybe there are molecular changes or the introduction of exotic matter or crystal rearrangement due to the creation of a novel alloy, but all of these details are lost on the enchanter, who sees it, quite simply, as magic.
Now the limitation of this system could be some sort of conservation law. Perhaps there is an asymptotic limit to how far reality can be bent (is it dependent on position in space (magic hotspots)? or time(age of magic)? or something else? Who knows?) or perhaps instead, there is some sort of exchange whenever magic is done, perhaps the enchanter loses his imagination/mind. Or even better (and more realistic, if that word can even be used in such a discussion), perhaps it is the item which the limiter. Certainly, I would imagine enchanting a suit of steel mail to be harder, or an iron blade to be sharper, an easier task than enchanting a pair of shoes to compress space-time.
The point is: there is real science going on behind the scenes (which reality takes care of) but the enchanter need not know about any of it. It's sort of a like a magic trick where even the magician is not in on it, and reality is the guy in the back pulling all the levers and working the smoke machines.
Method 2: The Magical Method
In this scenario, magic is simply another kind of ordinary physical phenomena (like the reflective properties of light, or the catalytic activity of certain peptide sequences arranged in a specific 3-dimensional structure (enzymes). In that case, magic is just a name for yet another observable phenomena (YAOP). As YAOP, magic can be subjected to the cold and iron scrutiny of the scientific method. Experiments can be done, theories devised and disproved, careers ruined, geniuses born, ignored, and than later hailed as geniuses, giants used as stepladders, in short, all the chaos and clarity that is science.
Where enchantment comes in, would perhaps be "Applied Magic" (as opposed to theoretical magic), where this YAOP can be harnessed and manipulated to do useful things. The more pervasive it is in the universe, the more useful things we can do. If, for instance, magic is an intrinsic part of everything so that all physical phenomena are connected to it, then its manipulation suddenly becomes quite useful (to say the least). For example, if magic is some sort of fundamental particle then perhaps we can change the properties of an object by manipulating this fundamental particle. How? Well perhaps, the particle can interact with other phenomena (like light, or heat or leptons). In this case, we do need to know what the science is, because the science is the magic.
Anyway, its late, I have a few more, but it will have to wait till tomorrow.