3min chapter

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Sean Carroll: Quantum Mechanics and the Many-Worlds Interpretation

Lex Fridman Podcast

CHAPTER

What Is Hilbert Space and Euclidean Space?

The English language was invented long before quantum mechanics or various forms of higher mathematics were invented. So we use the word space to mean different things. What do dimensions in Hilbert space mean? You know, it's just a way of mathematically representing how much information is contained in the state of the system. As you describe more and more information about the system, you have an abstract mathematical space that has more numbers that you need to give.

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