research · k2k

K2K: matrix-state substrate.

A computation substrate where state lives on the Frobenius unit sphere. The natural-language stack — morphology, syntax, semantics — is being built directly on this substrate, not bolted on top of standard transformer plumbing.

What it is

K2K replaces the standard token-embedding paradigm with matrix-state primitives on a constrained manifold (Frobenius norm fixed to one). State updates are matrix multiplications that stay on the manifold, which gives stable gradients and a well-defined geometry the lab can derive theorems against.

NLP stack

The lab is building a native NL stack on K2K — morphology, syntax, and semantics — rather than treating language as opaque tokens for a transformer. This makes interpretability a property of the architecture, not a post-hoc analysis.