Relational Depth Scaling in Quantum Correlations: A Geometric Framework with Falsifiable Predictions
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2025
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| _version_ | 1866901123490643968 |
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| author | De Jesus, Elias |
| author_facet | De Jesus, Elias |
| contents | <p>This technical note proposes a <span><strong>geometric diagnostic tool</strong></span> for interpreting platform-dependent “gaps” to the Tsirelson bound in Bell-test experiments. Using data from the BIG Bell Test (2018) and benchmark photon experiments, the note defines a <span><strong>relational depth</strong></span> parameter that tracks how strongly a platform’s correlations appear <span><strong>thermalized / diluted by environmental coupling</strong></span>, and reports a strong rank correlation between platform type (photon → atom → superconducting) and inferred depth. The framework is formulated in standard geometric language (fiber bundles, connections, holonomy/Berry phase) and treats “context” as a projection/coarse-graining of the same underlying entanglement structure. It does <span><strong>not</strong></span> claim new physics; instead it provides <span><strong>falsifiable predictions</strong></span> and clear failure modes, emphasizing a decisive test: <span><strong>fine angular scans across multiple platforms</strong></span> to check for any systematic, platform-linked deviations beyond standard visibility/loss explanations.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18009046 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Relational Depth Scaling in Quantum Correlations: A Geometric Framework with Falsifiable Predictions De Jesus, Elias Bell inequality; CHSH; Tsirelson bound; platform dependence; visibility; decoherence; open quantum systems; geometric phase; Berry phase; holonomy; fiber bundle; context (projection); relational depth; falsifiability; fine angular scan; quantum networks; entanglement. <p>This technical note proposes a <span><strong>geometric diagnostic tool</strong></span> for interpreting platform-dependent “gaps” to the Tsirelson bound in Bell-test experiments. Using data from the BIG Bell Test (2018) and benchmark photon experiments, the note defines a <span><strong>relational depth</strong></span> parameter that tracks how strongly a platform’s correlations appear <span><strong>thermalized / diluted by environmental coupling</strong></span>, and reports a strong rank correlation between platform type (photon → atom → superconducting) and inferred depth. The framework is formulated in standard geometric language (fiber bundles, connections, holonomy/Berry phase) and treats “context” as a projection/coarse-graining of the same underlying entanglement structure. It does <span><strong>not</strong></span> claim new physics; instead it provides <span><strong>falsifiable predictions</strong></span> and clear failure modes, emphasizing a decisive test: <span><strong>fine angular scans across multiple platforms</strong></span> to check for any systematic, platform-linked deviations beyond standard visibility/loss explanations.</p> |
| title | Relational Depth Scaling in Quantum Correlations: A Geometric Framework with Falsifiable Predictions |
| topic | Bell inequality; CHSH; Tsirelson bound; platform dependence; visibility; decoherence; open quantum systems; geometric phase; Berry phase; holonomy; fiber bundle; context (projection); relational depth; falsifiability; fine angular scan; quantum networks; entanglement. |
| url | https://doi.org/10.5281/zenodo.18009046 |