Attractor Dynamics

RESEARCH INDEX · 2026

Research notes

Two public notes: one on long-horizon state tracking, one on the CUDA and Metal kernels used to measure small recurrent matrices.

01 Published work

One public preprint.

PREPRINT · NON-ABELIAN STATE TRACKING

A Held-Out Transition-Pair Falsifier for Long-Horizon Non-Abelian State Tracking

Our first public preprint. The paper asks whether long-horizon state tracking can be falsified with held-out transition pairs rather than rewarded by in-sample coherence alone.

02 Reporting

What the numbers mean.

Every timing is tied to a shape, device, precision, warm-up, and iteration count. Experimental precision modes are labeled as such. A result that has not been reproduced or bounded stays out of the product copy.