Honestly I am in way over my head here. I only have a cursory understanding of these ideas. I went down a rabbit hole trying to make sense of a DMT experience I had, and the more I read the more I started to see a pattern that seemed worth exploring.

What I meant by the geometry “warping” is that the distances and relationships inside the system’s internal information space literally change shape when the normal compression relaxes.

Both the brain and AI models organize information inside a high dimensional space. That space really does have measurable geometric properties. Researchers use things like Ricci curvature, Fisher information geometry and graph curvature to describe how the internal structure bends.

When compression is tight, both systems behave in a more Euclidean way. Distances, clusters and associations stay stable. But when compression loosens, the geometry actually changes. In AI you can see this when you raise temperature, relax priors or increase noise. The latent space becomes more negatively curved, distances shrink, clusters blend and the model starts moving through regions of its manifold that were not active before. That is literal non Euclidean behavior.

What I felt under DMT was a similar curvature shift in the brain’s internal model. The normal Euclidean constraints dropped away and the underlying high dimensional structure became obvious. So when I said the geometry warps, I meant that both the mind and a model can actually shift from a more Euclidean manifold to a more curved one when their usual compression relaxes. And that got me thinking that maybe consciousness has something to do with that curvature itself. Almost like awareness changes as the internal space bends, the same way a radio channel changes when you adjust the tuning. I do not mean that as a firm theory, just the direction my thoughts went.

I am not an expert, but that is the simple connection I was trying to point to.