How Closed Space Breaks the Quantum Rules of Rotation ⚡ экспресс
The authors found that in periodic space (like a closed torus), orbital angular momentum has two components: a standard integer spectrum and a continuous zone arising from regions that are "edge" relative to the rotation center. This continuous part includes half-integer and irrational values, previously thought impossible for orbital momentum. The effect is independent of space size and, though elusive at lab scales, could potentially manifest in the cosmic microwave background. Just as a cliff edge births an echo, the edges of a periodic universe might leave their mark.
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.