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| Format: | Preprint |
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2025
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| Accès en ligne: | https://arxiv.org/abs/2511.12258 |
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| _version_ | 1866913160840085504 |
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| author | Gao, Ju Shen, Fang |
| author_facet | Gao, Ju Shen, Fang |
| contents | Bell correlations are usually formulated for an ideal spin singlet, for which the Bell--CHSH combination reaches the maximal quantum value \(B=-2\sqrt{2}\), independent of detector separation. Here we derive Bell correlations from a more general physical state: an antisymmetrized pair of entangled Dirac wavepackets with source-prepared amplitude and phase coherence. The propagated branches are sampled locally by spatially separated endpoint detectors, yielding a separation-dependent CHSH value \(B(Z)\). For a fixed CHSH analyzer geometry, the zero-separation, full-overlap limit gives \[ B(0)=-2\sqrt{2}, \] independent of the preparation parameters. At large detector separation, once the direct branch-overlap contribution is suppressed, the surviving Bell--CHSH value approaches the prepared-coherence kernel \[ B(\infty)=\mathcal{K}_{\rm coh} =
-\sqrt{2}\left[1+\sin(2θ)\cosχ\right]. \] Thus the asymptotic Bell value is controlled by the coherence fixed at the source through the amplitude balance \(θ\) and relative phase \(χ\). Bell violation is therefore a phase-sensitive local readout of prepared nonseparable Dirac-wave coherence: it rules out separable classical probability, but does not by itself require superluminal causation. In this wave-realist account, Bell correlations retain their full quantum content while remaining compatible with relativistic causal locality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12258 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bell Correlations from Prepared Coherence in Entangled Dirac Wavepackets Gao, Ju Shen, Fang Quantum Physics Atomic Physics Bell correlations are usually formulated for an ideal spin singlet, for which the Bell--CHSH combination reaches the maximal quantum value \(B=-2\sqrt{2}\), independent of detector separation. Here we derive Bell correlations from a more general physical state: an antisymmetrized pair of entangled Dirac wavepackets with source-prepared amplitude and phase coherence. The propagated branches are sampled locally by spatially separated endpoint detectors, yielding a separation-dependent CHSH value \(B(Z)\). For a fixed CHSH analyzer geometry, the zero-separation, full-overlap limit gives \[ B(0)=-2\sqrt{2}, \] independent of the preparation parameters. At large detector separation, once the direct branch-overlap contribution is suppressed, the surviving Bell--CHSH value approaches the prepared-coherence kernel \[ B(\infty)=\mathcal{K}_{\rm coh} = -\sqrt{2}\left[1+\sin(2θ)\cosχ\right]. \] Thus the asymptotic Bell value is controlled by the coherence fixed at the source through the amplitude balance \(θ\) and relative phase \(χ\). Bell violation is therefore a phase-sensitive local readout of prepared nonseparable Dirac-wave coherence: it rules out separable classical probability, but does not by itself require superluminal causation. In this wave-realist account, Bell correlations retain their full quantum content while remaining compatible with relativistic causal locality. |
| title | Bell Correlations from Prepared Coherence in Entangled Dirac Wavepackets |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2511.12258 |