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Separation-Dependent Bell Correlations from Prepared Coherence in Dirac Wavepackets
arXiv:2511.12258v3 Announce Type: replace Abstract: We calculate separation-dependent Bell correlations for a fixed pair of Dirac electron wavepackets in a free, weakly relativistic packet model, treating the prepared joint wave as a physical wave--entity. Each station separation is sampled at the corresponding central packet arrival time. For the illustrated phase \(\chi=\pi/4\), the magnitude of the prescribed-setting Bell--CHSH response decreases and revives; optimizing the spin measurement directions retains the modulation. It occurs already at leading spin order, including for equal prepared branch weights. Interference between direct and exchanged assignments of the electron waves to the stations changes the relative weights and phases of the sampled spin amplitudes, thereby modulating the optimized response. Representative finite spatial and timing windows reduce visibility while retaining broader suppression and revival. This wave--entity account gives a quantitative, testable correlation pattern from prepared coherence, deterministic propagation, and local sampling, without postulating transmission between detectors.
Abstract:We calculate separation-dependent Bell correlations for a fixed pair of Dirac electron wavepackets in a free, weakly relativistic packet model, treating the prepared joint wave as a physical wave--entity. Each station separation is sampled at the corresponding central packet arrival time. For the illustrated phase \(\chi=\pi/4\), the magnitude of the prescribed-setting Bell--CHSH response decreases and revives; optimizing the spin measurement directions retains the modulation. It occurs already at leading spin order, including for equal prepared branch weights. Interference between direct and exchanged assignments of the electron waves to the stations changes the relative weights and phases of the sampled spin amplitudes, thereby modulating the optimized response. Representative finite spatial and timing windows reduce visibility while retaining broader suppression and revival. This wave--entity account gives a quantitative, testable correlation pattern from prepared coherence, deterministic propagation, and local sampling, without postulating transmission between detectors.
9 pages, 2 figures. Title revised; analysis and references updated
Quantum Physics (quant-ph); Atomic Physics (physics.atom-ph)
arXiv:2511.12258 [quant-ph]
(or arXiv:2511.12258v3 [quant-ph] for this version)
From: Ju Gao Prof. [view email] [v1] Sat, 15 Nov 2025 15:30:34 UTC (349 KB) [v2] Mon, 25 May 2026 13:40:15 UTC (49 KB) [v3] Fri, 30 Oct 2026 17:11:00 UTC (1,049 KB)
Full text under the publisher's open licence · 199 words