The solution to the Hardy's paradox

Resource type
Author/contributor
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
DOI
10.48550/arXiv.2106.06397
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 (arXiv:2106.06397). arXiv. https://doi.org/10.48550/arXiv.2106.06397