11. Heisenberg’s uncertainty principle

📘 Lesson 11 of 21

▶️ Watch the full lecture series here: https://www.youtube.com/playlist?list=PLIGRVb_-L3Eokg9bMKOX6XLyVgxlPb8uv

In this lesson, we explore one of the most iconic results in quantum mechanics: Heisenberg’s uncertainty principle. You’ll learn why there’s a fundamental limit to how precisely we can know a particle’s position and momentum at the same time. We then walk through the key steps of a mathematical proof, showing that this limit—the product of uncertainties—can never fall below ℏ⁄2. This principle isn’t about measurement limitations; it’s a fundamental property of quantum systems.

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