This may or may not relate to the current threads about mind v body, perceptual nature of reality, etc that we have been flogging, but it is a topic I lived in and around for most of my career and found it both familiar/compelling and a little disturbing:

The general topic is the non-Reimannian nature of perceptual color spaces.

The broadly accepted non-Euclidean color spaces described by the CIE formulations (1931 and 1976) has been widely accepted while the RGB/CMYK/HSV Euclidean approximations are what most folks use for pretty good practical reasons (particular the conveniences of tristimulus/process color specification and synthesis).

This recent (1 year old) publication work by some LANL folks was shoved in my face/space recently (as a correlate to the problems we have been working with on trying to understand the underlying space of abstract high dimensional (very non-linear) problems such as ensemble steering/exploration in the World3 model.   Our favored method (of the moment) is a variant of tSNE <https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding><https://en.wikipedia.org/wiki/T-distributed_stochastic_neighbor_embedding>which prefers a locally accurate metric over a global one.

The LANL work on this non-Reimannian color space:

   https://www.pnas.org/doi/full/10.1073/pnas.2119753119

A popular article about that work:

   
https://www.fastcompany.com/90780869/it-could-take-20-more-years-for-scientists-to-truly-understand-color
   
<https://www.fastcompany.com/90780869/it-could-take-20-more-years-for-scientists-to-truly-understand-color>

I'm guessing this (at least) crossed Ed Angel's awareness, perhaps there are a few others here who care about this level of detail/abstraction on color/perceptual spaces?  Frank is probably a lot more up on the nuances of (non) Reimannian manifolds than I ever will be...  I don't know if this represents an interesting example of the utility of such?
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