The more general uncertainty principle, regarding Fourier transforms
7 人推荐 · 跨 6 个月 · 2019–2025
中文导读
3Blue1Brown 从傅里叶变换的视角生动展示了测不准原理的本质：波包不可能在位置和频率上同时保持极窄分布，因此该原理本质上是波的内生数学属性，而非所谓的“测量干扰”。
为什么 HN 推它
被 HN 网友公认为对不确定性原理最清晰、最直观的视觉化解释，彻底理清了“波的本质属性”与“测量扰动”之间的界限。
「这是我见过对傅里叶不确定性原理最清晰、最直观的解释，Grant Sanderson 讲得太绝了。」HN 网友原话：The clearest, most intuitive explanation of the Fourier Uncertainty Principle that I have come across is by Grant Sanderson of 3Blue1Brown.
英文原摘要（HackerTube / Claude 整理）
3Blue1Brown shows how the uncertainty principle arises from Fourier transforms. A wave packet cannot be narrow in both position and frequency, so the principle is a property of waves rather than of measurement.
HN recommends it as the clearest visual explanation that uncertainty is intrinsic to waves, separate from measurement disturbance.
HN 上的提及
3Blue1Brown has an extremely good explanation[1] of the intrinsic uncertainty, and why it's separate from measurement uncertainty.
3blue1brown did a nice video on this
The limitations of the Fourier transform are intimately tied to the uncertainty principle
3blue1brown was somewhat useful, somewhat tangential video on the topic
3blue1brown has an excellent two-video visual explanation [1][2]