Sean Carroll

Okay.

So my claim is that these observables, position, momentum, whatever, spin, these are not part of what defines your quantum mechanical theory.

What defines your quantum mechanical theory is just the vector in Hilbert space evolving through time.

That's all that exists, okay?

Everything else, it's not that nothing else exists, all that exists at the most fundamental level.

So what you need to do is say how that very, very minimal amount of information can imply a certain emergent structure at the higher level.

So to be fair, you not only have the vector in Hilbert space and how it evolves, but kind of counterfactually how different vectors would evolve.

That's what the Schrodinger equation tells you.

So given the set of all possible wave functions, how would they all evolve from that to

Tell me how to find space in Hilbert space.

Find the manifest image description of the world in terms of stuff moving in a three-dimensional universe.

That's the task.

And those of you who know me, I've been working on this for 10 years now.

Time flies.

Like many people, my internal increment of time basically stopped during the pandemic.

So things that are 10 years ago are in my brain just five years ago.

But yeah, for roughly 10 years, my students and colleagues and I have been working on some version of this problem on and off.

And right now it's very much on.

I have a great group of students here at Hopkins that are diving into different aspects of this problem.

How do you