CSF-CMT vΩ.25.4: Magnetic Monopole Mass and Detection Window from String-Magnetic Topological Coarse-Graining

This paper derives the magnetic monopole as a topological defect of the string-magnetic mode χstring^M and calculates its mass as a function of the coarse-graining scale L_c, yielding an experimentally accessible window distinct from GUT predictions. The winding number w_M = 1/2π∮ ∇CG^M · dl ∈ Z is shown to be a topological invariant of the first-space meta-field. When w_M ≠ 0, the coarse-graining operator ĈL_c(M) cannot smooth the knot, producing a residual δ-function magnetic charge. The mass formula mₘₒₙₒ(L_c) = αmag MPl(lstring/L_c)^2 gives mₘₒₙₒ ~ 10^8 GeV for L_c ~ 10⁻²⁰ m, within reach of cosmic-ray and heavy-ion collision searches. Two detection channels are proposed: transient magnetic charge signals in Pb-Pb collisions at √{sNN} = 5.5 TeV, and galactic magnetic field deflection anomalies in ultra-high-energy cosmic rays.