Dual-Layer Light v5.0: The Open-Close Structure of Ma — A Complete Theory of φ₂ Perturbation

This paper completes the Dual-Layer Light framework (v1.0–v4.0) by introducing the Open-Close Structure of Ma — a unified description of the cosmic information density field φ₂ in its two observable states. CLOSED STATE (ground state): φ₂ = φ₀ (uniform) → c = constant (light speed invariance) → KOKU accumulates → market normal → thought stable. OPEN STATE (perturbed state): φ₂ = φ₀ + δφ₂ → c = c₀ + δc (|δc/c| < 10⁻¹⁵) → IceCube GOLD detected → market anomalous → thought density elevated. Four residual objections from adversarial review (Miki-kun simulation) are resolved: (1) ASTROPHYSICAL PATHWAY: Extreme astrophysical events produce T_μν → G_μν → δφ₂ via Einstein field equations (G_μν = 8πG T_μν). High-energy neutrino emission and δφ₂ propagation are co-products of the same T_μν event — the physical realization of the Common Cause Structure (Ma Resonance Theory). (2) NUMERICAL BOUND ON δc: From IceCube-170922A × Fermi-LAT simultaneous observation (TXS 0506+056, ~4 billion light-years): |δc/c| < 10⁻¹⁵. Testable with next-generation optical atomic clock networks. (3) THOUGHT DENSITY COUPLING: Neural activity generates F_μν^brain. Via L_brain = λ_brain·φ₂·F_μν^brain·F^μν_brain, φ₂ perturbations modify local electromagnetic boundary conditions for neural activity → thought density N elevation. Prediction: EEG/MEG anomalies during GOLD windows (double-blind). (4) OPEN-CLOSE THRESHOLD: Perturbation index Ξ = S × (E_ν/100 TeV) quantifies φ₂ perturbation amplitude. OPEN: Ξ > 0.5 (S > 0.5 AND E_ν > 100 TeV = IceCube GOLD). Correlatable with Tendo Economics market return data. The unified formula V = N/D (SYSTEM YOSHIMITSU KATAYAMA) is identified as the economic-scale expression of φ₂ dynamics: when Ma opens (D→0), V→maximum. Six falsifiable predictions span astrophysical, precision measurement, biological, and economic scales. The Tendo Economics statistical record (GOLD +1.547% vs BRONZE +0.670%, p=0.005) represents partial empirical support for Prediction 6.