created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Lean Quaternion Routing
title: SLUQ Routing
type: text/vnd.tiddlywiki

! SLUQ Routing

SLUQ (Semantic Latent Unified Quaternion) routing (`0-Core-Formalism/lean/Semantics/Semantics/SLUQ.lean`) uses quaternion algebra for semantic routing decisions. Quaternions provide 4D representations that avoid gimbal lock, making them suitable for manifold navigation. `SLUQQuaternionIntegration.lean` bridges quaternion ops to the broader semantics system. `SLUQTriage.lean` provides triage routing for emergency/manifold-critical paths. `SLUG3.lean` extends to 3rd-gen SLUQ with improved convergence properties. Related to the [[Quaternion Scalar]] module and the [[MNLOG Quaternion Bridge]] for multi-nodal logic integration.

* [[Lean Semantics Overview]]
* [[AVMR Adaptive Vector Manifold Representation]]
* [[Quaternion Scalar]]
* [[Semantic Graph Mining]]