Can Mirror Symmetry Challenge Local Realism? Probing Photon Entanglement from Positronium via Compton Scattering
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912890555990016 |
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| author | Pei, Junle Wu, Lina |
| author_facet | Pei, Junle Wu, Lina |
| contents | This study investigates photon entanglement generated from para-positronium decay by analyzing azimuthal correlations after the double Compton scattering with stationary electrons. We introduce a normalized correlation observable $\mathcal{O}_1 = \cos(2ϕ_1 - 2ϕ_2)/C_1$ to witness entanglement. In the absence of decoherence, $\langle\mathcal{O}_1\rangle = -1$, corresponding to a maximally entangled Bell state. With decoherence parameterized by $ρ$, the expectation becomes $-(1-ρ)$, allowing direct experimental quantification of coherence loss. A prior symmetry analysis of the Compton scattering process within the quantum field theory (QFT) is provided, which establishes the mirror-symmetric nature of the single-photon angular distribution. We further examine a local hidden-variable theory (LHVT) under the angular-momentum conservation. Imposing the mirror symmetry with respect to the plane defined by the photon spin and momentum leads to a non-negative LHVT prediction for $\langle \sin^2θ_1 \sin^2θ_2 \cos(2ϕ_1-2ϕ_2)\rangle$, contradicting the negative QFT prediction value for any $ρ< 1$. Thus, mirror symmetry serves as a novel criterion to exclude LHVT descriptions of the entangled state, whereas without preserving this symmetry, LHVTs can reproduce the correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08541 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Can Mirror Symmetry Challenge Local Realism? Probing Photon Entanglement from Positronium via Compton Scattering Pei, Junle Wu, Lina High Energy Physics - Phenomenology This study investigates photon entanglement generated from para-positronium decay by analyzing azimuthal correlations after the double Compton scattering with stationary electrons. We introduce a normalized correlation observable $\mathcal{O}_1 = \cos(2ϕ_1 - 2ϕ_2)/C_1$ to witness entanglement. In the absence of decoherence, $\langle\mathcal{O}_1\rangle = -1$, corresponding to a maximally entangled Bell state. With decoherence parameterized by $ρ$, the expectation becomes $-(1-ρ)$, allowing direct experimental quantification of coherence loss. A prior symmetry analysis of the Compton scattering process within the quantum field theory (QFT) is provided, which establishes the mirror-symmetric nature of the single-photon angular distribution. We further examine a local hidden-variable theory (LHVT) under the angular-momentum conservation. Imposing the mirror symmetry with respect to the plane defined by the photon spin and momentum leads to a non-negative LHVT prediction for $\langle \sin^2θ_1 \sin^2θ_2 \cos(2ϕ_1-2ϕ_2)\rangle$, contradicting the negative QFT prediction value for any $ρ< 1$. Thus, mirror symmetry serves as a novel criterion to exclude LHVT descriptions of the entangled state, whereas without preserving this symmetry, LHVTs can reproduce the correlations. |
| title | Can Mirror Symmetry Challenge Local Realism? Probing Photon Entanglement from Positronium via Compton Scattering |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2602.08541 |