Compact Directional Electromagnetic Propulsion via Dual Opposing Rotational Fields and Tail Dampening: A Spherical Harmonics Shaping Approach

We present a novel electromagnetic propulsion concept utilizing dual opposing rotational magnetic fields ("pancake" compression) supplemented by a tail dampening ring for Gaussian thrust bubble shaping and vectorable direction control. Extensive numerical simulations demonstrate consistent net axial repulsion (thrust proxy) with magnitudes scaling to ~10⁻¹¹–10⁻¹² N in toy parameters, achievable gram-to-kilogram lift in real prototypes via ampere-turn scaling. Optimal configurations employ 20–24 coils per opposing set, every-other polarity inversion, 64% defect density for self-reinforcement, DC vertical bias 0.70–0.80, and weak tail full-opposition phase (strength 0.2–0.3×) for containment. Direction vectoring is achieved by relative strength bias between upper/lower fields. The mathematical framework includes deformed Viviani coil parametrization, spherical harmonics multipole expansion for field shaping, and back-reaction proxy for induced opposition. Results align with waveform duality models where mirror boundary shattering and fractal encoding enable net momentum flow. Proposed prototypes achieve directional thrust with 2–10 kW power and $3,000–$10,000 cost.