# Rotate the Loop: Blockwise Conformality for Looped Transformers

Authors: Alexey Zemtsov, Albina Klepach, Vadim Lomshakov, Andrei Polubarov, Nikita Lyubaykin, Alexander Derevyagin, Vladislav Kurenkov, Alexander Nikulin.

Splits the recurrent residual into groups and rotates each group separately, aiming to preserve information across repeated transformer loops. Evaluates state tracking and language modeling.

First public: 2026-09-30.
ArXiv initial submission: 2026-09-30.

[Original paper](https://arxiv.org/abs/2610.14030) · [Reading-list entry](https://latent-implicit-thinking.github.io/papers/2610.14030/)
[Preprint BibTeX](https://latent-implicit-thinking.github.io/papers/2610.14030/citation.bib) · [Preprint CSL-JSON](https://latent-implicit-thinking.github.io/papers/2610.14030/citation.csl.json) · [JSON record](https://latent-implicit-thinking.github.io/papers/2610.14030/record.json)

## Approaches

- [Recurrent reasoning](https://latent-implicit-thinking.github.io/topics/recurrent-reasoning/): Repeat parts of the model or keep intermediate information in memory while working through a problem. Some methods also learn how many passes to run.

Summary and categories are editorial. Read the original paper to verify claims and limitations. A citation to a paper does not, by itself, establish that a later method builds on it.

Reading-list version 0.9.5; literature checked through 2026-10-18.