randomness

Randomness in physics refers to the inherent unpredictability of certain events, even when all initial conditions are known. Unlike classical physics, where apparent randomness often stems from incomplete knowledge of variables (like a roulette wheel), quantum mechanics asserts that some events are fundamentally random.1

Chaos theory explores systems governed by deterministic laws that exhibit unpredictable behavior due to extreme sensitivity to initial conditions. Even simple, well-understood physical laws can lead to chaotic outcomes, making long-term prediction impossible. This is exemplified by the "butterfly effect," where a tiny change can have significant, unforeseen consequences. Statistical mechanics also incorporates randomness, deriving bulk properties from molecular behavior and probability, leading to concepts like entropy and the eventual "heat death" of the universe.23