Brovetto and Maxia hypothesise that the changes in the brain that occur at puberty involve fluctuations in electron activity that, in rare cases, can create disturbances up to a few metres around the outside of the brain.
These disturbances would be similar in character to the quantum mechanical fluctuations that physicists believe occur in the vacuum, in which "virtual" particle and antiparticle pairs pop up for a fleeting moment, before they annihilate each other and disappear again.
Brovetto and Maxia believe that the extra fluctuations triggered by the pubescent brain would substantially enhance the presence of the virtual particles surrounding the person. This could slowly increase the pressure of air around them, moving objects and even sending them hurtling across the room.
A few off-the-cuff thoughts:
1.) I'm convinced poltergeist phenomena are real and ultimately amenable to science.
2.) I'm automatically wary of attempts to invoke quantum mechanics to explain "the unknown."
3.) Despite my reservations about unwarranted use of the "Q"-word, Brovetto and Maxia could very well be onto something. Assuming they're not pilloried for advancing what can only be an unpopular hypothesis, it's not entirely unreasonable to expect some form of laboratory confirmation.