Complex Frame Field Theory of Nuclear Forces: A Unified Geometric Framework with Accurate Deuteron Prediction

We present a novel theoretical framework for nuclear forces based on complex frame field algebra, achieving accurate deuteron properties with minimal parameters and computational cost. The theory unifies geometric and physical descriptions through coordinate system algebra objects, where frames become first-class algebraic entities supporting multiplication and division operations. Using only 10 physical parameters – compared to 18 in the Argonne v18 potential and 40+ in CD-Bonn – we predict deuteron binding energy of 2.345 MeV (5.4% error from experimental 2.225 MeV), RMS radius of 1.799 fm (15.9% error from 2.140 fm), and D-state probability of 5.4% (within experimental range of 4-7%). The framework demonstrates O(n²) computational complexity, offering 10-1000× speedup over existing methods while providing deeper physical insight through geometric and topological interpretations of nuclear binding.