# Time-symmetry and topology of the Aharonov-Bohm effect

**Authors:** Yakir Aharonov, Ismael L. Paiva, Zohar Schwartzman-Nowik, Avshalom C., Elitzur, and Eliahu Cohen

arXiv: 2303.00701 · 2024-01-11

## TL;DR

This paper explores a novel variant of the Aharonov-Bohm effect that questions traditional topological interpretations, emphasizing the roles of weak values and nonlocal equations of motion in quantum phenomena.

## Contribution

It introduces a new perspective on the AB effect by analyzing a variant that challenges the conventional topological understanding, highlighting the importance of weak values and nonlocality.

## Key findings

- A new variant of the AB effect that questions topological assumptions
- Discussion of weak values and nonlocal equations in the context of the AB effect
- Insights into fundamental quantum concepts through the analysis of the variant

## Abstract

The Aharonov-Bohm (AB) effect has been highly influential in fundamental and applied physics. Its topological nature commonly implies that an electron encircling a magnetic flux source in a field-free region must close the loop in order to generate an observable effect. In this Letter, we study a variant of the AB effect that apparently challenges this concept. The significance of weak values and nonlocal equations of motion is discussed as part of the analysis, shedding light on and connecting all these fundamental concepts.

## Full text

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## Figures

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## References

81 references — full list in the complete paper: https://tomesphere.com/paper/2303.00701/full.md

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Source: https://tomesphere.com/paper/2303.00701