Geometric Aharonov-Bohm phase effect around a black hole
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917540539662336 |
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| author | Kumar, Kaushlendra Majid, Shahn |
| author_facet | Kumar, Kaushlendra Majid, Shahn |
| contents | In recent work, we have explored the novel possibility that the geodesic of a spacetime density flow in GR could be upgraded to an amplitude $ψ$ with density $|ψ|^2$. We show how this arises from generally-covariant quantum mechanics and the Klein-Gordon operator in a semiclassical analysis, and how it connects to the Raychaudhuri equations. In this setting, we demonstrate an Aharonov-Bohm type effect for the phase of $ψ$ in motion approaching a black hole. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_28582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Aharonov-Bohm phase effect around a black hole Kumar, Kaushlendra Majid, Shahn General Relativity and Quantum Cosmology 83C65, 83C57, 81S30, 81Q35, 81R50 In recent work, we have explored the novel possibility that the geodesic of a spacetime density flow in GR could be upgraded to an amplitude $ψ$ with density $|ψ|^2$. We show how this arises from generally-covariant quantum mechanics and the Klein-Gordon operator in a semiclassical analysis, and how it connects to the Raychaudhuri equations. In this setting, we demonstrate an Aharonov-Bohm type effect for the phase of $ψ$ in motion approaching a black hole. |
| title | Geometric Aharonov-Bohm phase effect around a black hole |
| topic | General Relativity and Quantum Cosmology 83C65, 83C57, 81S30, 81Q35, 81R50 |
| url | https://arxiv.org/abs/2605.28582 |