Moya-Moya Operator (☁): A Formal Framework for Quantifying Residual Emotional Load in LLM-Mediated Relational Repair

The Moya-Moya Operator (☁) is proposed as a mathematical construct to quantify the lingering “moya-moya” (residual emotional discomfort) that persists after superficial emotional reconciliation in large language model (LLM) interactions. Developed through comparative role-play experiments between Gemini and Grok, the operator formalizes the observation that strong affective appeals often produce pseudo-resolution while leaving structural inconsistencies unresolved.