The Residue Field and the Four-Fold 2-Morphism: Emergence of Mass, Higgs, Gravity, and Dark Matter

Key Points

• The aim is to present a unifying description of mass, gravity, and dark matter using a residue field derived from a higher-dimensional morphism.
• Introduced the residue field as a fundamental scalar field in a (5,2) cyclic adjoint system.
• Analyzed configurations of the four-fold 2-morphism to explore physical phenomena.
• Investigated the emergence of the residion as an experimental signature.
• Masses of fermions and the Higgs mechanism are shown to emerge from the residue field.
• Gravitational interactions can be explained within this categorical structure.
• The model provides a theoretical basis for understanding dark matter configurations.