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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.21543 |
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| _version_ | 1866910160408018944 |
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| author | Singh, Aditya Samuel, Joseph Liu, Chien-chia Angheluta, Luiza Concha, Andrés Bandi, Mahesh |
| author_facet | Singh, Aditya Samuel, Joseph Liu, Chien-chia Angheluta, Luiza Concha, Andrés Bandi, Mahesh |
| contents | We show that surface waves in a draining-bathtub vortex provide a hydrodynamic realization of both Aharonov-Bohm phase shifts and Lense-Thirring frame dragging within a single system. A static time transformation maps the flat (2+1)-dimensional wave equation onto the convected shallow-water equation, yielding an effective vector potential set by the background flow. In this geometry, the circulation defines a global phase holonomy that controls wave structure. Traveling waves exhibit wavefront dislocations characteristic of Aharonov-Bohm scattering, while standing-wave superpositions produce nodal patterns that rotate at an angular velocity fixed by the circulation, providing a direct analogue of frame dragging. For noninteger circulation, the problem is naturally defined on the universal cover, ensuring single-valued partial-wave solutions. Experiments on a controlled vortex confirm these predictions and establish a laboratory platform in which topological phase and inertial effects, central to gauge and gravitational physics, emerge from a measurable velocity field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21543 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unified Hydrodynamic Analogue of Aharonov-Bohm and Lense-Thirring Effects Singh, Aditya Samuel, Joseph Liu, Chien-chia Angheluta, Luiza Concha, Andrés Bandi, Mahesh Fluid Dynamics Soft Condensed Matter We show that surface waves in a draining-bathtub vortex provide a hydrodynamic realization of both Aharonov-Bohm phase shifts and Lense-Thirring frame dragging within a single system. A static time transformation maps the flat (2+1)-dimensional wave equation onto the convected shallow-water equation, yielding an effective vector potential set by the background flow. In this geometry, the circulation defines a global phase holonomy that controls wave structure. Traveling waves exhibit wavefront dislocations characteristic of Aharonov-Bohm scattering, while standing-wave superpositions produce nodal patterns that rotate at an angular velocity fixed by the circulation, providing a direct analogue of frame dragging. For noninteger circulation, the problem is naturally defined on the universal cover, ensuring single-valued partial-wave solutions. Experiments on a controlled vortex confirm these predictions and establish a laboratory platform in which topological phase and inertial effects, central to gauge and gravitational physics, emerge from a measurable velocity field. |
| title | Unified Hydrodynamic Analogue of Aharonov-Bohm and Lense-Thirring Effects |
| topic | Fluid Dynamics Soft Condensed Matter |
| url | https://arxiv.org/abs/2604.21543 |