Effective Field Theory of 8.2 TeV Topological Solitons (Warden Resonances), Setting Benchmarks for FCC

We present a phenomenological Effective Field Theory (EFT) of the "Warden" field, a massive, colored topological soliton at MW =8.21±0.4 TeV. Descending from a U(4) unification framework at MGUT ≈ 3.2 × 1016 GeV, this EFT explores a dynamical framework for the electroweak scale, color confinement, and the fermion mass hierarchy. We propose that the Standard Model electroweak sector is anchored to a topological Warden condensate characterized by a macroscopic vacuum stiffness of f ≈ 1.1 TeV. By adopting this stiffness and a topological melting threshold of Λvac ≈ 259 TeV as UV boundary conditions, we show that the activation of the Warden scalar sector can introduce a stabilizing effect on the Higgs vacuum, consistent with a Higgs pole mass of mH ≈ 125.19 GeV. Furthermore, this vacuum state is supported by a geometrically conserved U(1) baryon symmetry, offering a mechanism for proton stability. We translate this architecture into collider kinematics, projecting an ≈ 0.85 fb topological gluon fusion production cross-section at √s = 100 TeV, providing a testable signature for the Future Circular Collider (FCC-hh).