Hilbert Space
A mathematical concept critical to quantum field theory and quantum information theory, which some physicists like Nima Arkani-Hamed believe will not be fundamental in future physics laws.
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Videos Mentioning Hilbert Space

Donald Hoffman: Reality is an Illusion - How Evolution Hid the Truth | Lex Fridman Podcast #293
Lex Fridman
A mathematical concept critical to quantum field theory and quantum information theory, which some physicists like Nima Arkani-Hamed believe will not be fundamental in future physics laws.

Stephen Wolfram: Complexity and the Fabric of Reality | Lex Fridman Podcast #234
Lex Fridman
An abstract vector space generalizing Euclidean space, used in quantum mechanics, to which branchial space is analogous but more complex.

Vladimir Vapnik: Predicates, Invariants, and the Essence of Intelligence | Lex Fridman Podcast #71
Lex Fridman
A mathematical space with an infinite number of coordinates, used to describe a rich space of functions where strong and weak convergence can be applied.