https://x.com/ps_ilove_me/status/2087893961189085376
QT:{{“The reason lives in something called the Lyapunov exponent, a number that measures how fast two nearly-identical starting positions diverge from each other over time. For a double pendulum, that exponent sits around 3 to 5 per second, and in some experiments as high as 7.9. Translation: “any tiny uncertainty in your starting angle doubles roughly every fifth of a second. After one second, your error has grown by a factor of thousands. After five seconds, by a factor of billions. After ten, the two pendulums have nothing in common except the laws they obey.” “}}
P.S. I Love ME on X: “The most predictable object in physics becomes completely unpredictable the moment you add a second joint. It’s called a “double pendulum.” This is why scientists still cannot predict the double pendulum exactly. A double pendulum with initial conditions measured to a https://t.co/Svowbd20z6″ / X
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