ψ-Phase, Threshold, and Ξ-Nucleation: A Formal Map of Retentive Regimes in ψ-Architecture

Key Points

• To present a comprehensive mathematical framework for retentive regimes in ψ-architecture.
• Detailed exposition of three ψ-phases
• Identification of four critical thresholds
• Establishment of the universal Ξ-nucleation law
• Framework application to cosmology and materials science
• Defined critical thresholds for retentive physics
• Developed a phase-structured framework
• Showed the applicability of the framework across multiple scientific domains