hilbert space

Sean Carroll: Quantum Mechanics and the Many-Worlds Interpretation | Lex Fridman Podcast #47

Lex Fridman

In this continuation of his conversation with Lex Fridman, theoretical physicist Sean Carroll delves into classical mechanics and its historical evolution from Aristotelian teleology to Newton's laws. He explains how Isaac Newton initially struggled with "action at a distance," the concept that grav …

Sean Carroll: Hilbert Space and Infinity

Lex Fridman

Sean Carroll begins by clarifying a fundamental distinction between our everyday understanding of space and its mathematical definition in physics. While most people conceive of space as the three-dimensional world containing objects or outer space, mathematicians utilize "space" to describe any abs …