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Abstract Topological entrainment—the synchronization of dynamical trajectories across nested biological, cognitive, social, and civilizational systems—offers a cross-scale account of how meaning emerges, stabilizes, fractures, and repairs. Drawing from oscillator models, information geometry, predictive processing, trauma science, and cultural evolution, this framework defines meaning as coherence under constraint: the

Abstract AToM proposes that coherence—the capacity of a system to maintain integrated, low-entropy structure across perturbations—is a cross-domain invariant of cognition, trauma, interpersonal regulation, organizational dynamics, and cultural evolution. Trauma is modeled as a collapse in the topology or geometry of coherence fields, and entrainment is identified as