Photon–Higgs Knot Framework (PHKF)

The Photon–Higgs Knot Framework (PHKF) is a theoretical model proposing that matter emerges from stable topological knots formed by a one‑dimensional base photon trapping Higgs energy. In this framework, electric charge corresponds to twist number, spin arises from the double‑valued phase structure, and mass originates from the trapped Higgs distribution. PHKF provides unified explanations for fundamental particle properties, atomic structure, shell capacities, chemical bonding, and molecular geometry. This project includes the mathematical foundations of the model, energy functionals, stability analysis, composite knot structures (electron, proton, neutron), and the derivation of atomic and molecular behavior through phase‑locking interactions. The goal of this work is to establish a pre‑geometric, topological foundation for matter and to open pathways toward future developments involving spacetime emergence, gravity coupling, and quantization.