SDRIS Technical Addendum 01-A: A Geometric Derivation of Vacuum Permittivity

This technical addendum provides the formal numerical verification for the Static-Dynamic Recursive Information Space (SDRIS) framework. It establishes a deterministic link between high-dimensional geometry and the fundamental constants of electromagnetism and gravitation. Key Contributions: Topological Derivation of ε₀ and μ₀: Vacuum permittivity is derived as the emergent "informational stiffness" of a 30-layer recursive 120-cell polychoron lattice. The 120π Eigenstate: The vacuum impedance Z₀ is identified as a direct consequence of the 120-cell's rotational symmetry, reconciled with experimental CODATA values via the Geometric Tortuosity (τ). SDRIS Unified Constant Table: A comprehensive comparison demonstrates that c, Z₀, ε₀, α, G, and the Weinberg angle sin²θW are not independent parameters but geometric signatures of the underlying information processing grid. Convergence-Depth: The paper explains the transition from the $N=28$ stability threshold (matter formation) to the $N=30$ convergence-depth required for global field constants. The results replicate CODATA experimental values with a precision of up to 10⁻¹⁰, suggesting that physical reality is a damped manifestation of an underlying integer-based informational geometry.