This document is the fifth-generation synthesis of the Geometric Coupling Theory corpus. Where v3 catalogued 127 papers by domain and v4 narrated the 29 post-v3 papers by programme axis, this synthesis reorganises the entire 157-paper corpus into dependency order — the sequence a reader should follow to build the framework from the ground up. The reading order follows five structural dependencies: (I) the geometric object, from approach geometry through basin dynamics to cross-scale formalisation; (II) the operational grammar, from convergence evidence through the six IE operations to the Silver Geometry capstone; (III) receipts and thresholded substrates, where the geometry meets domain-native empirical data; (IV) governance and perception, where coupling architecture explains clinical, perceptual, and AI phenomena; and (V) Silver Geometry completion and empirical closure, where the control loop is formalised and confirmed against 600 independent measurements. Each paper entry carries six fields: HLRP number, title, role classification (G/O/S/R/I), IE position, one-line claim, and dependency chain. Dependency-column citations are hyperlinked directly to the corresponding Zenodo records. The corpus is not a collection of domain papers. It is one geometric object, progressively resolved across 157 vantage points.