In quantum mechanics, orbital angular momentum usually takes only integer values. But if space is periodic (like a loop), a continuous spectrum appears: half-integer and even irrational values emerge! The effect is elusive in the lab, but could affect the cosmic microwave background. Does this mean that the edges of space change the laws of rotation?
Orbital angular momentum—the measure of an object's rotation around a point—usually appears discrete in quantum physics: like climbing a staircase where each step is a whole number. This rule was considered unshakable. But if space has periodic boundaries, looping back on itself like the surface of a donut, the staircase turns into a smooth ramp. On it, rotation can take any value—from fractions to irrational numbers like √2.
Interestingly, the effect doesn't depend on size: even on the scale of the entire Universe, rotation can lose its quantum strictness. It's not yet detectable in the lab, but traces could show up in the cosmic microwave background—the ancient light after the Big Bang. Finding them would confirm the nontrivial structure of our spacetime.
🎯 For a long time, physicists believed that orbital angular momentum could only be integer, and half-integer values were characteristic only of spin—a particle's intrinsic rotation. The new discovery shows that the boundaries of space can mix these properties.