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The Electron's Heel: What Dirac Knew and Pauli Missed ⚡ экспресс

Original: "Time inversion symmetry in the Dirac and Schrödinger-Pauli theories"
· R. Winkler, U. Zülicke
arXiv:2506.01292v2 · 2025-06-02 · CC BY 4.0 · ⏱ 1 min · Materials Quantum Physics
In a magnetized material, electrons always drift sideways—even if you ignore the spin’s effect on their trajectory.
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In a chunk of magnet, electrons always skid a little around bends, even without an external field. Dirac predicted this effect almost a century ago, but it was thought unimportant at low speeds. It turns out the path curvature is built into the particle itself—and this heralds new magnetic electronics without bulky magnets.

🎯 Discovered over a century ago, the effect long remained a mystery; only recently was it found that the answer lies hidden in Dirac’s equations—and this "heel" is fundamental even for stationary particles.

\Omega = \frac{1}{2m^2c^2}
intrinsic Berry curvature for the electron: m is mass, c is the speed of light
Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterAlbert Einstein
Tags
Standard Model speed of light spacetime curvature
Laws
Doppler effectprinciple of constancy of the speed of lightNoether's theoremmass–energy equivalenceMaxwell's equationsLorentz transformations
Original: arXiv:2506.01292v2 · CC BY 4.0 · bridge42worlds