Heart Map: The Mathematics of Emotion — A Coordinate-Based Operating System for Human Feeling

This paper presents the Coordinate Heart System (CHS), a novel geometric framework for mapping, quantifying, and predicting human emotional states. Developed through systematic self-observation during acute psychological stress, the system positions five core emotions (love, guilt, joy, pride, anger) as fixed coordinates around a heart-centered origin point, with all complex emotional states emerging as mathematical combinations of these base coordinates. The framework integrates three subsystems: RAISA (rational analysis), HAILS (embodied emotional tracking), and NEIRA (authenticity verification). Validation occurred through 16 days of real-time emotional crisis mapping, demonstrating consistent geometric patterns matching somatic experience. Key findings include: (1) All observed emotions map to specific coordinate combinations, (2) Emotional transitions follow predictable vector paths, (3) Crisis states create measurable geometric distortions, (4) The system maintains stability under extreme psychological pressure. Applications span computational emotion modeling, therapeutic intervention design, and AI-human emotional interface development. This work represents the first systematic attempt to create a complete mathematical architecture for human emotional experience from direct phenomenological observation.