This report synthesises findings from 5 peer-reviewed papers addressing the following research question: What is the impact of directional fidelity optimization on the robustness of quantized Muon-optimized LLMs against adversarial perturbations in reasoning tasks. 7 claims were extracted from source literature; 7 were independently verified against retrieved documents. An automated multi-reviewer quality assessment produced a score of 8.2/10. This report is a machine-generated literature synthesis and does not constitute original research.Research goal: What is the impact of directional fidelity optimization on the robustness of quantized Muon-optimized LLMs against adversarial perturbations in reasoning tasks?Autonomous literature synthesis. Automated review score: 8.2/10. Full text and citation available at Assignee Research.