Z: Zenith Unification of Fundamental Forces via the Four-Equation Unified Framework

We present a unified formulation of all four fundamental interactions—gravity, electromagnetism, the strong and weak nuclear forces—within the Network Emergent Architecture (N.E.A.) framework. The unification is achieved by a four-equation system: A single bandwidth-deficit field equation:(nabla^2 - mu_i^2) phi = -Delta rho_i A universal metric:ds^2 = -f_ext^2 dt^2 + dr^2/f_ext^2 + r^2 dOmega^2 A bandwidth-field relation:f_ext^2 = 1 - 2 phi A force law with carrier-specific dilution factors:F_i = (hbar c / T_i) * (Delta rho_i / 4 pi) * K_i(r) Four propagating forces are described by the same equation with different source densities and inverse range parameters. Key results: Gravity reduces exactly to Schwarzschild geometry in the strong-field regime, with shadow size consistent with EHT observations within the non-spinning approximation. The gravitational dilution factor is T_grav ≈ 7.34e35, and the global addressing capacity is N_max^5 ≈ 4.08e37, giving the geometric form factor N_max^5/T_grav ≈ 55.6. Electromagnetic statics give Coulomb's law on the discrete C8 scaffold, with alpha^-1 = 25 sqrt(3) pi + 1, in agreement with experiment to 0.0008%. Dynamic Maxwell equations are verified on the C8 grid; their first-principles derivation remains OP-17. The strong force separates into a short-range Yukawa nuclear regime and a linear confinement regime, with source density rho_strong ≈ 310. The weak force is a protocol-layer discrete event, with topologically derived mixing angle sin^2 theta_W(M_Z) = 1/(1+pi) - Delta/(4 pi), matching experiment to 0.18%. A topological mass chain reproduces quark and charged lepton masses with deviations below 4% for heavy quarks. This edition introduces the Topological Scale Relations and Native Spacetime Scales: The inverse gravitational coupling is a pure topological relation:alpha_G^{-1} = N_max^5 / R, with deviation 0.12%. The proton-to-bandwidth mass ratio is a pure topological relation:m_p / Z = f_geo * (sqrt(R)/(1+R)) * N_max^{1/2},where f_geo = 1 + Delta/(4 pi), with deviation 0.017%. The Planck length and Planck time follow from the same topological compression factor (1+R)/(f_geo N_max^3) applied to the native length and time scales, with deviation 0.043% for both. The native spacetime scales are identified: the Tick duration t_Tick = hbar / Z ≈ 1.619e-21 s, and the native length a_0 = hbar*c / Z = 485.26 fm, equal to the Compton wavelength of the bandwidth currency. The exponent closure (-6 + 1 + 5 = 0) demonstrates that the three scale relations are mutually locked projections of a single topological skeleton. The three-tier parameter ledger is presented: pure predictions with no experimental anchors, conditional predictions using a small number of anchors, and openly identified candidates. Known deviations are reported together with successes. The framework is formulated with a single bandwidth currency Z ≈ 0.4066 MeV, a basic geometric constant Delta, and a discrete-continuum correspondence scale a_0. Beyond these, all continuous parameters are either anchored to measured constants or derived from topological expressions. All numerical code is publicly archived.