The solution to the Hardy's paradox

Ivan Arraut

doi:10.3390/condmat10030045

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arXiv · 2106.06397

The solution to the Hardy's paradox

Ivan Arraut

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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.

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Ivan Arraut. 2021-04-29. The solution to the Hardy's paradox. https://doi.org/10.3390/condmat10030045

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