Ṛta Motion Theory

We present Ṛta Motion Theory, a topological field theory in which every stable hadron and lepton arises as a self-organizing soliton of a single five-field nonlinear partial differential equation (PDE) system on a periodic three-dimensional Cartesian lattice. The theory is parameterized by twenty-one structural coupling constants (the set FROZEN_P), four integration constants (the integrator step DT, the formation-phase length FORM_STEPS, the idle-phase length IDLE_STEPS, and the mass anchor K_Ω), and one initial-condition geometric parameter per state (the topological seed). All twenty-five constants were fixed once during the engine certification at gate 16 of the research program and have not been modified in any subsequent prediction. The mass observable M of a soliton is defined as M = K_Ω · Ω, where Ω is the integrated enstrophy of the coherence vector field over the high-intensity core: Ω = ∫I(x,t)>1.05 |∇×c(x,t)|² d³x. The mass anchor K_Ω = 321.1788 MeV is fixed by requiring agreement with the ρ(770) meson mass; no further calibration is performed at any other mass scale. We derive the engine equations from a single free-energy functional via gradient flow for three of the five fields, Josephson-like phase advance for the fourth, and a soft Lagrange-multiplier constraint for the fifth. We compute three Noether currents — translation, U(1) phase, and SO(3) coherence rotation — and identify each with an engine observable. The frozen engine reproduces twenty-one meson masses across light, strange, charm, charmonium, and bottomonium sectors with deviations below 1 %, including the J/ψ(3097) at 0.006 % deviation, the ψ(3770) at 0.013 % deviation, the D*(2007) at 0.0007 % deviation, the η_c(2984) at 0.43 % deviation after re-anchoring the grid-correction power law, and the Υ(1S, 2S, 3S) at below 0.85 % deviation in a single pilot run on a larger box. The proton charge radius r_p = 0.841 fm is reproduced exactly from the c-field winding density. The cosmological-constant suppression mechanism is presented and quantified: the homeostatic R-store field reduces the naïve Ṛta vacuum-energy overprediction by a factor S²² with S = ⟨R⟩_eq / R_sat ≈ 1.5 × 10⁻³, bringing the predicted vacuum energy density within 0.5 orders of magnitude of the observed value Λ_obs = 1.089 × 10⁻⁵² m⁻². A first lepton-sector candidate is reported: the (m, n) = (1, 1) torus-knot seed at radius R₀ = 1.0 and Gaussian envelope width a₀ = 0.3 produces a soliton with mass 109.45 MeV, deviating 3.6 % from the muon mass 105.66 MeV.