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dmtr
- 182
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... well, I don't really know. Uhm, I don't really know. If I had to guess, I would guess he [Einstein] was very very uncomfortable with the idea of a probabilistic theory. What does "probability" mean? You flip a coin a thousand times, what does it tell you about Nature? That the probability is 50 percent heads, 50 percent tails. Does it tell you anything about Nature? Does it, uhh, tell you that heads will turn up 500 times? No, it doesn't tell you that. Does it tell you 500 times within the margin of error, the margin of error being, what, square root of 10-30? No, it doesn't tell you that. Does it tell you that you cannot flip a thousand heads? No, it doesn't tell you that. What does it tell you? It tells you that it's "improbable" to flip ahh, a thousand heads. Well, probability is being defined in terms of probability. What ultimately does it say about Nature that, ahh, that if you flip a coin a thousand times that the probability is a heads that it will turn up - ahh, the probability is 50 percent that it will turn up heads? I think the only thing I can think that makes sense is to say you'd be very very surprised if you're outside the margin of error. It doesn't happen very often. Why doesn't it happen very often? It could happen very often, it could happen every time. Probability theory doesn't tell you that improbable things don't happen. It just tells you they're improbable; well, what does improbable mean? It just means they hardly ever happen. What do you mean they hardly ever happen, they can happen every time! Oh, but they're improbable. It doesn't say anything! It just says "you'd be surprised." I think Einstein was probably troubled by the idea that the most fundamental principles in physics were dependent on nothing more than what he would be surprised by. That's my guess - and I think it's Probably true.
Leonard Susskind
Lecture 9 | Modern Physics: Quantum Mechanics (Stanford)
neat ;)