The Residue Field and the Four-Fold 2-Morphism: Emergence of Mass, Higgs, Gravity, and Dark Matter
The Residue Field and the Four-Fold 2-Morphism: Emergence of Mass, Higgs, Gravity, and Dark Matter
We introduce a fundamental scalar field, the residue field ρ(θ,φ,x,t), emerging from a four-fold 2-morphism ρ = ε ∘ η in a (5,2) cyclic adjoint system.All observed physical phenomena—fermion masses,the Higgs mechanism, gravitational interactions, and dark matter structures—are shown to emerge from configurations of this single categorical structure.The residion, the quantum excitation of the residue field, provides the first experimentallyaccessible signature. This framework unifies three concepts of residue:QFT pole residues, geometric angular deficit, and categorical coherence failure.
category theory, Standard Model, residue, cyclic adjoint system, quantum field theory, dark matter, Higgs
category theory, Standard Model, residue, cyclic adjoint system, quantum field theory, dark matter, Higgs
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