A Unified Topological Framework for Consciousness Entropy Nested-Coupling Models of Five-Dimensional Dynamical Topological Entropy and Five Negative-Entropy Systems

Two hitherto independent lines of consciousness-entropy theorizing are integrated into a self-consistent unified framework in this work: a family of nested evolutionary equations describing five-dimensional dynamical topological entropy, and the theory of social mega-dissipative state systems. The unification hinges on a structural correspondence: the four-tier individual consciousness-entropy structure (perceptual, cognitive, value-oriented, and subconscious layers) and five macroscopic negative-entropy systems (culture, institutions, morality, public opinion, and epoch-specific cognition) from the second theoretical strand serve as concrete realizations for the individual-level and social-organizational-level domains of the abstract equation system developed in the first strand. We introduce a topological nested-coupling operator ⊕ whose algebraic properties (non-commutativity, non-associativity, zero element, emergent entropy, and unidirectional relaxation) formalize cross-scale entropy coupling. An individual-to-society topological mapping operator T is further constructed to map microscopic four-tier individual entropy onto time-evolving macroscopic social entropy fields, where time constitutes the fifth topological dimension. Seven stylized individual-society entropy interaction regimes (resonance, anticipation, lag, suppression, and collapse) are subsumed within a unified steady-state and instability analysis. Three core entropic corollaries emerge from this formalism: the entropic nature of psychological normativity, the epoch-contingent nature of mental dysfunction, and moral self-discipline conceptualized as an endogenous entropy-regulation system.