Dimensional Inheritance

Dimensional Inheritance is the information-transfer mechanism by which emergent dimensions carry structural information from one cosmic cycle into the next. The book lists it as one of three Information Transfer Mechanisms that preserve information through renewal by Topological Encoding in the substrate: Structural Templates hold complex patterns in the substrate's topology, Recursive Memories hold history in phase correlations, and Dimensional Inheritance lets the dimensions themselves carry information across cycles. The book compares this to string-theoretic transfer between branes through compactified dimensions. The transfer as a whole is written I▷ = Tℹ[I◁, Φ▱] [1ᵇ], where I◁ is the information from the previous cycle, I▷ the information in the new cycle, Tℹ the Information Transfer Function [∅] and Φ▱ the substrate's inherent information capacity [1ᵇ], given as Φ▱ = log_2(N○) × V▱ / Vₚ · ℨᵇ. The substrate acts as a cosmic data backup, bounded by its capacity. Dimensional Inheritance connects to Structural Templates, Information Transfer Mechanisms, Parameter Inheritance, Cosmic Renewal Engine and Substrate Informational Capacity.