Picture two lots in a hat, and you and a friend draw them at the same time without looking at each other. Every time you get "yes," your friend gets "no," and vice versa. How is that possible if nobody is swapping the lots? In quantum mechanics, a similar puzzle arises for entangled particles: measuring one instantly determines the result for the other, even when they are kilometers apart.

It used to be thought that a measurement result pops up at random at the very moment of observation, and no one could explain why distant particles always produce matching outcomes. Now it has been shown that the phase of the superposition, meaning the way a particle's possible states are "tilted," can be randomly encoded in one of the particles when they are created. When the particles separate, this phase becomes shared by both and steers each measurement toward its own result. That is why the sequence of outcomes for one particle looks random, while for the pair it is always consistent, with no signals passing between them.

This view also explains experiments with three particles, where under some device settings all three pass, and under others only half do. It requires nothing supernatural: no hidden variables, no instantaneous messages. One question remains: when exactly does the phase get fixed? That can be tested by comparing how two excited atoms emit light when they are together and when they have been separated. If the emission rate of separated atoms matches that of a single atom, then the phase was set before the separation. And so the invisible mark on the lots becomes a testable part of quantum mechanics.