November 12, 2025Open Access

The Electron as a Standing Field-Depth Resonance Node

Key Points

Model predicts electron spin and Pauli exclusion in relation to resonance geometry, providing a novel view of particle dynamics.
Key findings include associations of the g factor with internal rotation symmetry and charge quantization through curvature.
Proposal of a unified geometric-resonance framework supports standing-wave interpretations of atomic structure and interactions.
Significance lies in potentially redefining fundamental aspects of electron behavior and linking theoretical constructs with observed phenomena.

Abstract

This preprint presents a unified geometric–resonance model of the electron, formulated as a stable standing-wave node in an extended field domain (x, y, z, w, t), where the internal coordinate w represents field depth — an intrinsic, compact dimension of the underlying field medium. The model derives electron spin, charge quantization, magnetic moment, and Pauli exclusion as topological consequences of resonance geometry in the (r, w) -subspace. Spin-½ emerges from SU (2) holonomy; charge from mixed curvature Kₑₖ; the g≈2 factor from internal rotation symmetry; and exclusion from the two-dimensional spinor fiber structure. Atomic and molecular structures arise as standing interference patterns in the projected density, linking the formalism naturally to observed shell capacities, pairing, and bonding geometry — without invoking postulated quantum statistics or intrinsic point particles. This work extends the Field-Depth framework established in previous preprints, forming a consistent theoretical foundation for resonance-based unification of electron structure, atomic spectra, and field topology.

The Electron as a Standing Field-Depth Resonance Node

Key Points

Abstract

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