Multi-Tier Metric Invariants and Scale-Invariant Multiverse Power Series

This paper introduces a deterministic, scale-invariant geometric framework for a multi-tiered multiverse structure, providing an alternative to statistical or probabilistic cosmological models. Rather than treating parallel universes as arbitrary, non-interacting landscapes, we present a laddered topology where adjacent universal frameworks are systematically linked via a universal scaling constant (1.0857) and its corresponding transverse reciprocal limit (0.9208). We outline the geometric power series that governs the progression of these layers, defining the exact boundary conditions, mathematical constraints, and attenuation limits that maintain metric synchronization across the multi-tier hierarchy. This framework provides a predictive, rigid methodology for identifying cross-layer phase anomalies and metric leakage using standard baseline datasets.