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arXiv · 2605.28582

Geometric Aharonov-Bohm phase effect around a black hole

Kaushlendra Kumar·Shahn Majid
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Abstract

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 $\psi$ with density $|\psi|^2$. We now show how exactly the relevant amplitude and velocity flow equations arise in an eikonal approximation of Stueckelberg's proper-time quantum mechanics or Klein-Gordon flow. We also show how the divergence of the velocity field recovers the Raychaudhuri equations for relativistic fluids. In this setting, we demonstrate an Aharonov-Bohm type effect for the phase of $\psi& in motion approaching a black-hole.

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Kaushlendra Kumar, Shahn Majid. 2026-05-27. Geometric Aharonov-Bohm phase effect around a black hole. https://arxiv.org/abs/2605.28582

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