Yang-Mills Mass Gap CFD
1D Navier-Stokes Discretization mathematically mapping the Hydrodynamic Displacement Threshold
Time-Evolution of Localized Vorticity (dW/dt)
Demonstrating the RK4 stabilization via the βTRT acoustic venting cap.
The Hydrodynamic Displacement Threshold (Mass Gap)
Demonstrating the rigid geometric Step Function at Ek = ART.
The Total Vortex System ($V_T$) Link
The Mass Gap chart above illustrates the absolute threshold where kinetic energy ($E_k$) overcomes the Plenum's baseline viscosity ($A_{RT}$). When $E_k > A_{RT}$, the acoustic wave parts the fluid, geometrically displacing the medium and creating localized boundary-layer drag (mass). This initial displacement forms the foundational Soliton Vortex. In TRT, this initial vortex geometrically scales to physical atomic mass strictly via the Total System Vortex Count:
$$V_T = 3A + Z$$
Every stable atomic element relies on this exact mathematical mechanism to maintain its fluid-dynamic phase-lock against the baseline drag of the Quantum Plenum.