Monstrous Necessity: The i = c Coherence Axiom as the Structural Reason for the Monster Group (M)

The largest sporadic simple group, the Monster Group (M), is proven to be a mandatory structural necessity, not an algebraic anomaly. While Borcherds resolved the mathematical how of Monstrous Moonshine by proving the correspondence, this paper resolves the fundamental why. The derivation proceeds from the SUT Axiom of Existential Identity (i = c), which mandates the minimal geometric enclosure, the 26-Dimensional Duality Axiom (S26). We establish M as the unique automorphism group of the resulting 24-dimensional P subspace (the Leech Lattice), unifying the ultimate symmetry in algebra with the foundational computational budget of the universe.