  In recent years, energy correlators have emerged as a powerful tool to
explore the field theoretic structure of strong interactions at particle
colliders. In this Letter we initiate a novel study of the non-perturbative
power corrections to the projected $N$-point energy correlators in the limit
where the angle between the detectors is small. Using the light-ray operator
product expansion (OPE) as a guiding principle, we derive the power corrections
in terms of two non-perturbative quantities describing the fragmentation of
quarks and gluons. In analogy with their perturbative leading-power
counterpart, we show that power corrections obey a classical scaling behavior
that is violated at the quantum level. This crucially results in a dependence
on the hard scale $Q$ of the problem that is calculable in perturbation theory.
Our analytic predictions are successfully tested against Monte Carlo
simulations for both lepton and hadron colliders, marking a significant step
forward in the understanding of these observables.
