Perhaps with enough supercomputers and knowledge of all the variables you could work it out, but that would take too long.
Nope. The Gospel according to Saint Heisenberg says nuh-uh.
Not quite.
The Gospel according to Saint Heisenberg states that as you increase the accuracy of your measurements of one quality, you decrease the accuracy of another. Specifically: you can either know the path or the exact position of high-energy particles at any given time to a high degree of accuracy, but not both.
But what we can know is a probabilistic trajectory of high energy particles based on statistic calculations of the "probability cloud".
A probability cloud is exactly that, a cloud of particles, where any one particle is the "real" particle. Everything else is a virtual particle. Those virtual particles are the result of the statistical analyses of the high energy particle. The cloud is quite thin around the edges, but rather dense in the middle. That means that with a very high degree of certainty, the particle you are looking for is in the exact center of the probability cloud.
How about a duel?
Well, that's very interesting. See, Saint Heisenberg's gospel concerns particles on the
atomic scale. Humans, swords, hawks and even dust particles are all significantly larger than, say, an electron.
There are of course parameters on the atomic scale that might perhaps influence the outcome of the duel. But statistically speaking, those influences are negligible. And if you still want to account for them? You can calculate them to a very high degree of certainty (as explained above) given a powerful enough computer and enough time to input all the parameters and do the calculations.
Heisneberg's uncertainty principle is very cool and is often the poster child for "look guys, science can't do everything!", but that's just plain out wrong.
Scientists are not deterred by having to reduce their calculations to statistical analyses (in fact, when calculating orbital mechanics for anything more than two bodies at a time they use statistical models, and they do that just about every time they launch an interplanetary probe). You can check
here for some practical everyday uses of it.
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