Let's explore chaos theory

“Poincaré’s work challenged the deterministic philosophy of Pierre-Simon Laplace, who believed that if we knew the position of every atom in the universe, we could perfectly predict the future. Poincaré showed that even in a completely ruled-based, deterministic universe, perfect prediction is practically impossible.”

“Instead of neat, repeating clockwork orbits, Poincaré saw a wild, unpredictable dance where even the tiniest shift in starting position would lead to wildly different, chaotic futures.”

“The claim that quantum systems cannot be chaotic assumes these systems are perfectly isolated. But in the real world, no atom is an island.”

“We confuse the mathematical tool we use to describe the quantum world (the linear Schrödinger equation) with the actual, messy physical reality of nature.”

“Through decoherence, the smooth, orderly quantum wave is shredded. What emerges from the wreckage is the sharp, unpredictable, and chaotic classical physics we experience every day.”

“If our macroscopic world is made of quantum atoms, and quantum systems cannot be chaotic, how does chaos exist in our everyday world at all?”

“Poincaré's groundbreaking ideas on the Three-Body Problem”

“butterfly effect”

“That tiny difference—less than one part in ten thousand—produced a completely different, wildly unpredictable weather forecast.”