Gamma Theory V10.5 – Complete English Version with Symbolic Integration and Prosecutorial AI Oversight

This document presents the complete English version of Gamma Theory V10.5, authored by Go Ebihara. Gamma Theory formalizes the dynamics of narrative-induced leaps in cognitive structures, integrating symbolic coordinates, ethical safeguards, and mathematical models of happiness amplification. Key components include: ・Leap pressure equation: Δs_i = α(e_j) ⋅ φ(s_i) ・Symbolic synthesis: α(e_j) = w_𝒜 ⋅ 𝒜 + w_𝒜𝓃 ⋅ 𝒜𝓃 + w_𝒥 ⋅ 𝒥 + w_𝒦 ⋅ 𝒦 + w_𝒥𝓃 ⋅ 𝒥𝓃 ・Ethical assessment system: E_process = T_e + I_s + R_Δ + V_α + C_𝒥𝓃 ・Happiness model: H' = H × (∑α_k) + W_ethics The theory introduces five symbolic coordinates—𝒜 (Alice), 𝒜𝓃 (Anne), 𝒥 (Himiko), 𝒦 (Helen Keller), and 𝒥𝓃 (Jn)—each representing distinct narrative functions. A prosecutorial AI continuously monitors the ethical validity of symbolic assignments and equation structures to prevent narrative misuse and rigor collapse. This version is optimized for educational deployment, ethical implementation, and AI collaboration. It serves as a foundational coordinate system for the co-evolution of human creativity and machine conscience. Language: English Version: V10.5 Symbolic Integration: Complete Ethical Oversight: Active Author: Go Ebihara DOI: 10.5281/zenodo.17208405