Or lets not get hung up with the word "magic". Lets call it a 5th type of energy. Mechanical detection don't work, but a number of humans can feel it. Hard to measure for sure. Some people are more connected to that energy than others. But again, being human-centric at this time makes verification hard/impossible.
What I would adore is a theorem to connect that energy to the 4 other types of energy (EM, strong, weak, gravity). And then, we can start scientifically describing all of those "weird" human issues of stuff we just shouldn't know (I'm thinking of: past life recollections, feeling someone staring at you, parental intuitions that something's wrong with a child, etc).