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Topological-Informational Origin of the Aharonov-Bohm Phase shift

Cristián Antiba

Published Jul 29, 2026• 0 citations
Publisher
DOI
10.13140/rg.2.2.11881.25442

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The electric Aharonov-Bohm effect is a special case of the general Ab effect. However, when inserting a gravitational potential in the place of the time dependent potential, a different understanding of the phase shift could be gained. The usual topological phase is replaced by a phase with origin in the red shift of the particle at one of the paths taken relative to the other path. In this case, the change in the geometrical measure is the source of the phase shift, which therefore has a local interpretation along with the non-local topological explanation.
We predict the force-free scalar Aharonov–Bohm (AB) effect of a Cooper pair box in an electric field at a distance without forming a closed path of the interfering charges. The superposition of different charge states plays a major role in eliminating the closed loop, which is distinct from the original topological AB effect. The phase shift is determined by the charge-state-dependent local field interaction energy. In addition, our proposed setup does not require a pulse experiment for fast switching of a potential, which eliminates the major experimental obstacle for observing the ideal electric Aharonov–Bohm effect.