A helical-flow geometric reinterpretation of classical electromagnetism with a phenomenological short-range nuclear extension

This study develops a geometric helical-flow ansatz for interpreting classical electromagnetic fields and explores a separate phenomenological extension for short-range nuclear interactions. The model postulates a source-centered vector field whose integral curves contain radial and azimuthal components while the magnitude of the total local flow is constrained to the speed of light c. A dimensionless solid-angle variable Ω is used to introduce a geometric mass-capacity parameter mg = km/Ω and a charge mapping q = Kmq dmg/dτ = −KΩ(dΩ/dτ)/Ω2. We emphasize that these relations are postulates and that mg is not identified with a time-varying measured rest mass without an additional dynamical theory. In the electromagnetic sector, Coulomb’s law, Lorentz transformations, and the standard relation B = (1/c2)v × E for a uniformly moving source are used as established inputs. Consequently, the resulting Maxwell relations are presented as a consistency reconstruction and geometric reinterpretation, not as an independent ab initio derivation of electrodynamics. A covariant connection to the electromagnetic tensor Fμν and the continuity equation is stated explicitly. The nuclear sector is retained only as a phenomenological kinematic extension: an inverse-cube radial envelope is compared quantitatively with a normalized Yukawa-type tail, demonstrating rapid falloff but also showing that 1/r3 alone contains no intrinsic nuclear length scale and cannot reproduce spin, tensor, or many-body observables. The framework therefore offers a testable geometric language whose fundamental status depends on a future Lorentz-covariant action, conservation-law closure, and quantitative comparison with electromagnetic and nucleon–nucleon data.