Derailing from telekinesis, but just to point one thing before going back to business.
In other news, electrons are like miniaturized satellites. Unlike planets and moons, though, they'll tend to stay away from each other and aren't easily subject to collisions.
That was like that in physics textbooks of 1960, and nowadays. In other
more recent news, when orbiting a nucleus, electrons are actually more akin to a "field" with mass than a real particle. They can actually jump trough the nucleus or any other sufficiently small particles (the quantum jump). I think that for an electron to be a particle and stay afloat orbiting the nucleus instead of collapsing on it, it must be going to more than relativistic speed. Which is impossible.
Actually, that makes me remember dithering (or what's its name). If we are on a quantized grid, one way to simulate continuousness is vibrating between two states, passing more of the time at the position you want to "appear" nearer to than the other you are vibrating on (if vibrating between too). Like how you drive a motor with a PWM.
Back on the subject.
It's a question of how accurate your model of the force is, and how well you can detect that it works according to that model, and how complete that model is.
We have a fairly complete model of EM in the modern era. We fully understand how radio waves are controlling that R/C car. The only evidence the ancient Romans have that some force is in operation is that the car moves according to commands given by the remote.
You have a very wrong definition of "detect". It is "to discover the existence of". Now, I'm a scientist (I mean, I am, IRL. Though only going through my Ph. D.). To discover that you can repeatedly and conciously move something (whatever), with no application of the interactions I know of,
that is what I'd call "detect a mysterious force". How do you think that we detected "dark matter" ? We didn't harness is, or modelise it. First, we notice the expansion of the universe, using known variables, didn't account for the actual, observed expansion of the universe. There was a new thing in there, we called it "Dark Matter" because it was accountable for new, unobserved until now, mass, in the previous equation. The previous thing was modelised and explain, but not it. And afterward ? The expansion speed was accelerating again! This time, you should
remove mass to explain it. So we called it "Dark Energy". This is a new force. It was "detected" by hubble and scientists around the globe.
Did Newton "detect" gravity ? No, he merely gave it a name. Any baby eventually detects it, after he detected his own body, inertia, and muscles. Did Thomas Edison (was that him?) first detect electricity ? Neither, we discovered a battery in Egypt far more ancient than his time.
The very definition of Force, is transfer of energy (or "work"). Gravity transforms potential gravity energy into kinetic energy. Potential gravity is expressed via a property of particles called "mass", and distance. Electrical Force transforms electrical potential into kinetic energy. Electrical potential is expressed via a property of particles called "charge", and distance too. Magnetic force works with magnetic moments I don't want to explain. Electrical and Magnetic, well, you know it already I think.
No, if I can put you on a very precise scale, see you lose weight faster when you make that telekinesiable thing move with your mysterious power, when it is actually inside a faraday cage, I can say you are expanding your energy and giving it somehow to the telekinesied thing. Though there is still a possibility that you are using one of the other interactions, I don't know how to proof the telekinesiable thing from them, but I think there is a way to verify it violates all known theory about them, therefore, prooving it's not one of them either.
Since I'm not the most brilliant scientist, I just prooved that "we can not detect the mysterious force" and "somebody can move something with the mysterious force" are incompatible. Even a child is going to admit it (even if it calls it "magic !" like what powers phones, houses, and television. He will differentiate it from that because
you do it, not the phone.)