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How Closed Space Breaks the Quantum Rules of Rotation ⚡ экспресс

Original: "Orbital angular momentum can take non-integer values in a closed universe"
· Daniel Burgarth, Paolo Facchi
arXiv:2506.03254v1 · 2025-06-03 · CC BY · ⏱ 1 min · Quantum Physics General Relativity Math Physics
If space loops back on itself, orbital angular momentum ceases to be quantized and can take any value.
Abstract

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?

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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.

Such a continuous spectrum challenges the long-held belief that orbital momentum must be an integer. Half-integer values, once thought to be the exclusive privilege of spin, now turn out to be possible here as well.

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.

Scientists
Alan GuthAndrei LindeGeorges LemaîtreJames PeeblesAdam RiessBrian Schmidt
Tags
spectroscopy big bang
Laws
Friedmann equationsHubble's lawDoppler effectEinstein field equationsMaxwell's equationsPlanck's law
Original: arXiv:2506.03254v1 · CC BY · bridge42worlds