Chapter 49: The Chemical Bond as Graph Transformation

Stable atoms combine because sharing T² co-rotor modes lowers the total energy below the sum of isolated atomic energies. A chemical bond is, in the language of Category τ, a merged co-rotor configuration: two (or more) atomic mode maps fuse into a single molecular mode map on τ³. This chapter develops the energetic logic of bond formation, classifies the principal bond types—covalent, ionic, metallic, hydrogen, van der Waals—and analyses the hydrogen molecule H₂ as the paradigmatic example. Electronegativity differences determine bond character, and the entire picture is recast as a graph transformation in the τ³ fibration.