This record contains the final version of my manuscript on pulsed weak-value tomography of gauge-invariant electron flow in an Aharonov–Bohm interferometer. The work proposes an operational protocol to reconstruct a drain-conditioned local velocity/flow field from postselected weak values of a local kinetic-momentum density (hence a gauge-consistent probability-current flow observable). A key element is a time-gated (pulsed) von Neumann coupling to a spin pointer, introduced to avoid potential momentum insensitivity that can arise in static interaction regions due to time-of-flight cancellation. The manuscript also provides internal weak-regime certification criteria (linear signal scaling in coupling strength and quadraticvisibility loss), AB-flux falsifiability checks (periodicity and drain dependence), and a minimum viable experiment outlining the minimal requirements for an experimental demonstration. Finally, it presents a roadmap toward a high-impact extension: testing electron quantum backflow (negative local current under a verified positive-momentum preparation constraint).
This manuscript proposes a solid-state electron-interferometry protocol to reconstruct quantum flow lines in an Aharonov–Bohm ring using weak values. A triggered single-electron wave packet propagates coherently through the two arms of the interferometer. A gate-defined Rashba segment implements a tunable weak coupling between the electron’s spin (as a pointer) and the local gauge-invariant kinetic momentum. Conditioning on the detected output port (postselection) allows extraction of the real part of the weak kinetic-momentum value, from which a local velocity field associated with thepostselected subensemble is reconstructed. Integrating this velocity field yields flux-dependent flow lines while preserving interference visibility in the weak-coupling regime. The work provides an operational, gauge-consistent route to map electron probability-current flow, with a clear ontological reading in de Broglie–Bohm dynamics.