The paper explores the transformative potential of synergistic integration between Generative AI (GenAI) and Digital Humans in the context of natural disaster management. Traditional crisis notification systems often fail due to structural inelasticity and inability to overcome cognitive tunneling and panic in the threatened population. The paper proposes a new conceptual framework - “Cognitive-Affective Crisis Synergy” - in which GenAI functions as the operational computational core (the brain) and Digital Humans serve as an empathetic, multimodal interface (the face). This is a conceptual and theoretical contribution; the framework is illustrated through practical scenarios rather than empirical validation. Practical scenarios are analyzed across the three phases of crisis management: experiential learning (prevention), scalable tactical dissemination with embedded autonomous sign language translation (response), and virtual psychological triage (recovery). Special attention is paid to ethical and technological challenges, including algorithmic hallucinations, the Uncanny Valley effect under stress, legal liability assignment, and the protection of user biometric sovereignty. The paper concludes with practical recommendations for implementing RAG architectures and Edge AI systems to build a sustainable, inclusive, and humanized technological infrastructure for population protection.