The post-pandemic work environment has intensified emotional strain, hybrid-work fatigue, and cognitive disengagement, making it increasingly difficult for leaders to sustain trust and authentic engagement in diverse, digitally disrupted teams. Existing leadership models emphasize cognition and behavior but overlook the real-time emotional, relational, and physiological processes that shape contemporary managerial dynamics. This study introduces Mirror Leadership, a novel theoretical framework grounded in Emotional Appraisal Theory (EAT) and Polyvagal Theory (PVT) to explain how leaders influence team well-being through emotional co-regulation, reflective attunement, and embodied presence. Using a conceptual research design and narrative synthesis across neuroscience, psychology, and leadership studies, the paper advances six propositions that describe how Mirror Leaders cultivate psychological safety, resilience, relational repair, and trust in hybrid and multicultural contexts. The model offers a distinct theoretical contribution by integrating cognitive appraisal mechanisms with neurophysiological processes of safety and connection, thereby reframing leadership as a symbolized, neuro-emotional, and intercultural process rather than a solely cognitive or strategic function. Findings suggest that emotionally attuned and synchronized leaders foster biologically grounded trust, intercultural cohesion, and affective stability during uncertainty. The study further outlines implications for research, including the need for empirical validation using physiological and behavioral measures, and implications for practice, such as enhancing leadership development, cross-cultural training, and emotionally intelligent management in hybrid workplaces. Mirror Leadership thus provides a foundational and globally relevant framework for understanding emotionally intelligent and culturally competent leadership in the new world of work.