You can actually measure both the position and the momentum of a particle at the same time with at least fifty percent certainty.
The Heisenberg uncertainty principle is often taught as a hard no on knowing both where a particle is and where it is going. This new research shows that as long as your probability threshold stays within a specific mathematical limit, joint localization is totally possible. By looking at the problem through confidence uncertainty, physicists found a way to squeeze more information out of a quantum system than previously thought. It does not break the law of physics, it just refines the boundary of what knowing actually means. This could lead to much more precise measurements in quantum sensing and navigation. It essentially gives us a clearer picture of the subatomic world without breaking its fundamental rules.
Confidence uncertainty: position and momentum can be jointly determined with a guaranteed probability
arXiv · 2605.04484
Heisenberg's uncertainty principle states that the position and momentum of a particle cannot be sharply determined simultaneously. Standard-deviation and entropic formulations capture the spread of the probability distribution but say little about the probability itself contained in a small region. We introduce the "confidence uncertainty" $\Delta^{c}x(\theta_x)$ as the minimal Lebesgue measure of the support set in which the particle is found with probability at least $\theta_x$, and the compa