Exact Closed Form Blind Prediction of the Tau Lepton Anomalous Magnetic Moment Discrepancy via the 5D Complex Matrix M Infrastructure

While the anomalous magnetic moment discrepancy of the muon Delta a_mu ~ 25 x 10^-10 has reached discovery precision, the third-generation tau lepton anomaly Delta a_tau = a_tau^exp - a_tau^SM represents the frontier of leptonic flavor physics, currently under active investigation at the CERN Large Hadron Collider via ultra-peripheral heavy-ion collisions (gamma gamma -> tau+ tau-). Operating within the discrete five-dimensional cyclic complex matrix infrastructure M in C^(5x5), we demonstrate that the generational hierarchy of leptonic electromagnetic anomalies is dictated by a deterministic dimensional boundary projection. Whereas the second-generation muon interfaces with the 4D spacetime boundary at fourth-order damping (Daleth^-4), the third-generation tau lepton couples directly to the 3D spatial boundary manifold at third-order damping (Daleth^-3). Governed strictly by the three immutable foundational invariants---the quantum vacuum saturation phase bound Phi_C = pi / 4, the non-perturbative geometric coupling invariant Daleth = e / (pi * alpha) ~ 118.5712176, and the compact discrete matrix volume measure |det(M)| ~ 0.29867507---we establish the exact closed-form blind prediction prior to definitive collider resolution: Delta a_tau = [cos^2(Phi_C) / Daleth^3] * [1 - |det(M)| / Daleth] ~ 2.9918 x 10^-7 The generational step ratio evaluates exactly to Delta a_tau / Delta a_mu = Daleth ~ 118.5712, establishing an absolute algebraic link between second- and third-generation leptonic anomalies without free parameters or empirical Yukawa tuning. This closed-form blind prediction provides an unambiguous theoretical benchmark for ongoing and upcoming runs at ATLAS, CMS, and future circular lepton colliders (FCC-ee).