The NWT Lagrangian: A Three-Field Theory of Particles and Gravity

Papers 6, 8, 13, 14, and 15 derived the Standard Model parameters, the fine-structure constant alpha, the 24-particle hadronic mass spectrum, and the gravitational coupling G from the topology of torus-knot vortex defects in a relativistic condensate. This paper presents the underlying Lagrangian as a single three-field theory. The minimal NWT Lagrangian has three fields -- a complex scalar condensate psi, an abelian gauge field A_mu, and an S^2-valued Skyrme-Faddeev unit field n^a -- tuned to the BPS critical coupling lambda = e^2/2 and Derrick equilibrium kappa = R/a_0 = pi^2. The Lagrangian as written carries one U(1) gauge field; the full SU(3) x SU(2) x U(1) Standard Model gauge content is compatible with…