Is the Vector in Hilbert Space a Vector?

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The world is mathematically represented as a vector in Hilbert space. It can't just be a Vector, it's something that's a mathematics. I want to understand better how the fact that this vector represents this sui-generous thing of the world, I don't dislike that. Whatever it is, it has an arena. Part of the world is an arena, some sort of spacetime. And that somehow, whatever is going on in it is going to give rise to the smoke dispersing. But I haven't really fully understood quite how it's done. Maybe it's just my lack of imagination.

The founders of statistical mechanics in the 19th century faced an uphill battle to convince their fellow physicists that the laws of thermodynamics could be derived from the random motions of microscopic atoms. This insight turns out to be even more important than they realized: the emergence of patterns characterizing our macroscopic world relies crucially on the increase of entropy over time. Barry Loewer has (in collaboration with David Albert) been developing a theory of the Mentaculus — the probability map of the world — that connects microscopic physics to time, causation, and other familiar features of our experience.

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Barry Loewer received his Ph.D. in philosophy from Stanford University. He is currently distinguished professor of philosophy at Rutgers University. His research focuses on the foundations of physics and the metaphysics of laws and chance.

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