: With the incredible technology that we have today, why is it still impossible to have 100% accuracy on predicting the weather?
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Assuming you did all the possible vector interactions for ever single entity in a given system(here being weather), you’d quickly realize as one progress forward through time and the amount of interactions piles further and further at an unfathomable rate, you would never be able to predict such a large system with anywhere near 100% accuracy. This on top of the fact weather is a predictive type of work, that as one even observed in Brownian motion of a given random walk model that prediction of a given path is most reliable the less number of steps(sequentially counting steps taken that is, not just distance from origin related) from a given origin, same thing with weather tomorrows weather has a higher chance of being predicted correctly as opposed to a week out.
Because the weather is a system that relies on trillions and trillions of variables. We couldn’t possibly calculate those interactions. Even if we could, we’d need trillions of sensors to measure the state of all the variables, which we couldn’t do.
In short, it’s simply too complex a problem to solve. We’d need to be a type .9 civilization at least first.
You would need to be able to simulate every single particle of the air everywhere, which we cannot do
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