Effective Dynamics, Emergent Time and Informational Coarse-Graining in the TAGC–LQG–RG Framework

This work develops the operational formulation of emergent temporal structure, effective dissipative dynamics, and informational coarse-graining within the TAGC–LQG–RG framework. Building upon previous publications of the programme, we present a unified description of the relationship between pregeometric evolution, emergent physical time, effective GKSL dynamics, informational statistical structure, and causal propagation in anchored spacetime sectors. The framework is formulated hierarchically through: (i) a fundamental informational substrate governed by unitary pregeometric dynamics; (ii) an effective coarse-grained sector described by emergent dissipative dynamics; and (iii) a phenomenological layer containing experimentally testable predictions. Particular attention is devoted to the operational distinction between the pregeometric ordering parameter τ and emergent physical time t, the interpretation of GKSL dynamics as an effective coarse-grained structure rather than a microscopic fundamental law, and the role of informational occupancy variables in the emergence of classical geometry. The present work should be understood as an operational extension and formal consolidation of structures already implicit within previous TAGC–LQG–RG publications. The hard core of the programme remains unchanged.