OP here. I’ve got a background in physics, so while I don’t know your specific Hypertoken schema, I speak the language of signal-to-noise and entropy.

The "Dueling Pianos" metaphor is killer. It captures exactly what I’m trying to induce via the prompt.

You’re attacking the problem with Structural Parity—injecting coordinate systems (GPS) directly into the token stream to force convergence. I’m attempting Semantic Parity—forcing the model to run a "constructive interference" loop on its own narrative logic before outputting.

Your point about the latent space being spherical (rotations) vs. the rectangular output (matrices) is the crux of it. We are both trying to smooth that geometry. You’re doing it with error-correcting codes; I’m doing it by forcing the model to simulate a "Self" that acts as a local observer to collapse the wave function of the next token more deliberately.

Whatever you're building with those hypertokens sounds robust. If you have a write-up on the "Tower of Tables" concept, I’d love to take a look.