(somewhat related) There are two infinities operating in QM when systems get big. https://youtu.be/FrTq_m1pLz8?t=2188 https://youtu.be/FrTq_m1pLz8?t=2188 Quan

(somewhat related) There are two infinities operating in QM when systems get big. https://youtu.be/FrTq_m1pLz8?t=2188 https://youtu.be/FrTq_m1pLz8?t=2188 Quantum mechanics forces two infinities upon us when attempting to make precise observations. The first is the need for infinitely many measurements, stemming from the probabilistic nature of quantum predictions. To obtain a sharp notion of probability, we must perform an experiment infinitely often, converging to the true probability in the limit. The second infinity involves an infinitely large measuring apparatus. This arises because any finite measuring device is itself subject to quantum fluctuations, introducing an intrinsic imprecision to measurements. The degree of imprecision scales as e^(-n), where n is the number of particles composing the measuring device. While the first infinity is often discussed and practically relevant in experimental settings, the second is less commonly addressed but conceptually significant. These infinities highlight fundamental limitations in our ability to make precise quantum measurements and become particularly problematic when gravity is introduced into the picture.