I investigate whether electric charge can be understood as a wave-structured singularity whose standing-wave geometry offers a new perspective on the self-energy divergence problem.
A point charge is one of the most fundamental idealizations in classical electromagnetism, yet its internal structure is usually left undefined. This research explores the possibility that charge possesses an intrinsic wave-based structure, modeled as a complex point charge with dual particle-wave and charge-current properties.
The proposed framework, DEEP (Dual Essentialities of Electric Pole), represents charge as a spherical standing wave of potential. The real component corresponds to electric potential, while the imaginary component corresponds to current.
This structure naturally links inner radius, outer radius, frequency, and internal energy, enabling mutual parameter constraints. When applied to an electron model, the framework yields characteristic quantities such as the Compton wavelength, Rydberg constant, electron mass, and ionization energy.
In addition to the physical model, this work develops a reverse-direction methodology for scientific inquiry. The conventional route derives a conclusion from a framework (analytical process), whereas the reverse route begins from anomalies or counterexamples to reconstruct and test the original assumptions (integrative process).
The model suggests that electric charge may correspond to the wave source of a spherical standing mode. This opens the possibility that longitudinal structures in perfectly symmetric spherical waves may have physical significance, motivating a reconsideration of the conventional assumptions of electromagnetism.
Current work focuses on the theoretical formulation of complex point charges, spherical standing-wave electron models, and the methodological integration of anomalous phenomena into extended electromagnetic frameworks.
Electron Model as a Spherical Standing Wave: Validation by Constant Calculation
