【英語版タイトル】 Gamma Theory v150-2/3: Dimensional Analysis, Observational Protocols, and Empirical Feasibility of Hierarchical Unified Theory

【英語版説明】This paper integrates the dimensional analysis and hierarchical consistency discussed in v150-2 with the observational protocols and empirical feasibility presented in v150-3, systematically demonstrating the mathematical foundations and verification methods for all hierarchical levels of Gamma Theory—cosmos, life, mind, and society. It clarifies how the form Γ = L·E·A, the functor F, the Alice Deviation Number Ay, and the Ebihara-Go Phase Transition Σ correspond to observational data at each level. The cosmic level addresses the extended Friedmann equation, the life level addresses fertilization conditions, the mind level addresses brain activity correspondence, and the social level addresses analysis of the Shikigaku 5,000-company database. The paper reveals that the functor F, connecting hierarchical levels, provides structure-preserving mapping between variables of different dimensions, completing the mathematical consistency of Gamma Theory.