Electron Orbitals as Δf Resonance Corridors in USP Field Theory (msf:48100 v1.0)

This mini-document (msf:48100 v1.0) presents a USP Field Theory interpretation of electron orbitals as Δf resonance corridors. Instead of treating electrons as probability clouds, USP describes them as USP loops stabilized by geometric patterns in the field-tension mismatch surrounding the nucleus. Stable orbital shapes emerge where the energy slope relative to Δf becomes stationary: dE / d(Δf) = 0 This condition produces familiar harmonic families: s-orbital: isotropic Δf minimum p-orbital: Δf proportional to cos(θ) d- and f-orbitals: higher-order multi-lobed Δf harmonics The capacity of each orbital family follows directly from sub-corridor counting: nₗ = 2(2l + 1) USP predicts measurable deviations in heavy-atom X-ray spectra due to curvature in the Δf(r) gradient, and proposes Δf-oscillography as an experimental method to probe atomic corridor geometry. A cinematic visualization is included, showing s- and p-orbital Δf structures with their governing equations.