Optics and functors

At the moment, I don’t think we’ve got a very good physical intuition for functors — just something which is completely and utterly abstracted away from the physical universe.

Well, we’ve got full image, essential image, and from optics a whole slew of machinery for dealing with images of things. Virtual images, focal depth, whatnot.

* Do functors have focal depth?
* Are there things which are not quite categories in which a functor could be diffracted?
* Think about imaging technologies: MRI, cat scans — anything which we use to construct visual representations of things might have a functorial analogue. Functorial holography? (and no, I don’t mean this: “holographic principle of higher category theory”
* Just how many of these w: optical phenomena have functorial analogues?


2 responses to “Optics and functors

  1. On the chora similarity blog the author mentions a squinty macro viewpoint on groups. Coarse spaces I think are related? There’s an AMS what is….? Article about it.

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