# The solution to the Hardy's paradox

Resource type

Author/contributor

- Arraut, Ivan (Author)

Title

The solution to the Hardy's paradox

Abstract

By using both, the weak-value formulation as well as the standard probabilistic approach, we analyze the Hardy's experiment introducing a complex and dimensionless parameter ($\epsilon$) which eliminates the assumption of complete annihilation when both, the electron and the positron departing from a common origin, cross the intersection point $P$. We then find that the paradox does not exist for all the possible values taken by the parameter. The apparent paradox only appears when $\epsilon=1$; however, even in this case we can interpret this result as a natural consequence of the fact that the particles can cross the point $P$, but at different times due to a natural consequence of the energy-time uncertainty principle.

Repository

arXiv

Archive ID

arXiv:2106.06397

Date

2023-01-23

Accessed

4/4/23, 9:36 AM

Library Catalog

Extra

arXiv:2106.06397 [physics]

Notes

Comment: Significant improvements. One figure and two tables added in order to clarify the paradox. The most fundamental expressions unchanged and fully verified

Citation

Arraut, I. (2023).

*The solution to the Hardy’s paradox*(No. arXiv:2106.06397). arXiv. https://doi.org/10.48550/arXiv.2106.06397
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