Topological Reality of Magnetic Monopoles and Dissolution of Electromagnetic Decoupling in Octonionic Non-Associative Geometry

The cosmological monopole problem is addressed via the nonassociativity of octonions. We model gauge fields within associative quadratic forms, while magnetic monopoles emerge from trivalent configurations governed by antisymmetric associators, rendering them electromagnetically decoupled under standard Maxwellian measurement operations. This condition enforces a rigorous topological decoupling, leaving the macroscopic energy-momentum tensor invariant while satisfying cosmic microwave background (CMB) bounds through a Planck-suppressed effective Lagrangian density. To empirically verify this hidden flux, we propose a multi-arm time-delay interferometry model for space-based gravitational wave detectors (e.g., LISA/DECIGO). The loop integral of the non-associative torsion waveform induces a non-zero residual phase beat via the two-dimensional worldsheet area integral, solving the cosmological monopole problem as an algebraic necessity without compromising quantum unitarity.