Last week, a young woman came by my physics lab. She demonstrated the telekinetic ability to rotate things from a distance. We did some quick tests, but we couldn't find any previously known phenomena which could explain this.

Now, she had to run off to do some sort of superheroics, but she promised to return for more research. I'm not looking for you to provide an explanation for me (I do have to find something to publish, after all), but I'd like to know how I could use her power to discover new physics.

Of course, there are some constraints. She seems resistant to being dissected (even for science), and she strongly dislikes needles and other medical equipment. Using her power does take energy, and it's not terribly strong. We have plenty of lab space, but grants are hard to come by, so we can't get too much expensive equipment.

What experiments could I perform with her that would be most useful for developing new physics? I'm looking for the most direct route from "person with (these) superpowers" to "revision of the current model of the universe".

Edit: To narrow the scope a bit, here are the results from some of the tests that have already been suggested:

* While it's possible to use her to study other things, I have an unexplained phenomenon literally asking me to study it, so I'd prefer to study the physics of her powers.
* She has difficulty moving sufficiently small things ("Have you ever tried grabbing an atom?").
* She can spin things behind glass with minimal difficulty.
* She can rotate things from where she can see them to where she can't, and so long as she doesn't "let go," she can rotate them back. However, she hasn't been able to turn things she can't see to begin with.
* She can rotate two or three things at once with difficulty, but she can't focus on more than that. If she loses focus on anything, it just stops spinning.
* Her power decreases with distance, but not as fast as the inverse-square.
* We can't measure when she starts using her power precisely enough to check for a speed of light lag.
* She does have to rotate herself (at least her hands) a bit to get an object to start turning or to change its speed, but once it's going, it only requires focus.
* She can rotate non-rigid objects and parts of objects.
* She cannot turn herself.
* There's no noticeable effect from applying electric or magnetic fields.