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 ₀ and ₀: Vacuum permittivity is derived as the emergent "informational stiffness" of a 30-layer recursive 120-cell polychoron lattice. The 120 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 (). SDRIS Unified Constant Table: A comprehensive comparison demonstrates that c, Z₀, ₀, , G, and the Weinberg angle ²W 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.