A Resonant 4D Model for Spin, Wave–Particle Duality, and Quantum Correlations

This preprint proposes a physical mechanism for several foundational quantum phenomena—spin, wave–particle duality, and nonlocal correlations—by modeling the electron as a stable standing-wave resonance node in a 4D extended field domain (x, y, z, w, t). The internal coordinate w represents field-depth, a compact resonance dimension of the underlying medium. Within this framework, spin-½ arises from SU (2) holonomy in the (r, w) subspace; charge quantization from mixed curvature KrwKₑₖKrw; the electron’s magnetic moment (g≈2) from internal rotational symmetry; and Pauli exclusion from the two-dimensional spinor fiber structure. These results appear naturally, without postulating intrinsic point particles or abstract quantum axioms. Wave–particle duality emerges as a projection effect: a localized 4D resonance is observed as a delocalized probability wave in 3D space, while self-interference and quantum correlations follow from the geometric coupling between the lateral and depth components of the node. The model connects directly to atomic and molecular structure, describing shells, pairing, and bond geometry as standing interference patterns of the projected field density. This preprint builds on the author’s Field-Depth framework and provides a unified resonance-based interpretation of the electron and its quantum behavior.