Boundary Information Geometry (BIG) Comprehensive Monograph

[English] This document is the comprehensive monograph of the Boundary Information Geometry (BIG) framework. While the previously published short paper (DOI: 10.5281/zenodo.11108269) introduces the core principles—such as the Geometric-Informational-Symmetry (GIS) three-layer structure, the stability threshold of 137, and the fourth-power non-assimilation cost—this expanded edition provides the detailed mathematical framework, proofs, and philosophical background across more than 90 pages. Key Features: Technical Appendices (A–Z): Includes mathematical derivations, partial differential equation (PDE) analysis of boundary solitons, scaling limits from the cosmic web to quark confinement, and a roadmap for computational and physical verification. This monograph is intended as a reference for researchers, physicists, and philosophers interested in understanding, verifying, or implementing the BIG framework. [日本語] 本ドキュメントは、「境界情報幾何学(BIG: Boundary Information Geometry)」理論の詳細版モノグラフです。 先に公開されたショートペーパー(DOI: 10.5281/zenodo.11108269)