So, and this is just honestly some excessively complicated backtesting, if we had this new index and it was stable under different random seedings (proof that the index reflects the actual market), we could compare it with an index and see a divergence if the index was veering off because it became an echo-house.
So I'm curious now what an index created to avoid these problems might look like. I imagine we'd want an un-reproducible index. Something that cryptographically re-chooses its members constantly with our desired constraints. Sure someone does this already in some way. Even if it's just being a trusted authority instead of a cryptographic solution.
I've always critiques of passive investing but never dove into them. But recently, going thru Kyla Scanlon's new book, she presented the dilemma clearly in like a paragraph. Indices are imitated and create a sort of Keynesian Beauty Contest. They're sort of a dangerous echo chamber.
Anglosphere is a good contender for my top 5 most semantically awful words in existence.
https://new.nsf.gov/science-matters/meet-coscientist-your-ai-lab-partner
I don't know what a co-scientist is. But a co-mathematician turns theorems into coffee.

Meet 'Coscientist,' your AI lab partner
NSF - National Science FoundationUp to some crazy stuff with image symmetry as a tutorial on Fourier transforms
And of course it provides clean access to modern image manipulation tools. This texture synthesis alg is actually a bit too old. I've written my own, but it works here. After this I import the image into GIMP and use a cloning tool on the section that still look wrong.
The entire notebook interface is in fact designed for this purpose. Originally, it was for doing stuff like algebraic manipulation by Mathematicians, but when you think about it, this is a similar process to more artistic work itself. Other programming languages aren't conceived with this sense of collaboration between the language and programmer,
Mathematica is built from the ground up for kind of messy work between formal programming and informal hand exploration. In this case, I've created a UI on the fly to adjust a parameter of an image process algorithm to detect the black stain.
I'm using Mathematica for most of this work. And what the code below illustrates for me is how important the UI is. Colors and Images are first class objects that we can manipulate both programmatically and in a manual style. It's possible to mix and develop both kinds of workflows together. In this case I'm getting the major colors to get a rough mask of the black stain.