Electron channeling resonance and de Broglie’s internal clock

Experimental work in electron channeling in silicon crystals has yielded a resonance suggestive of de Broglie’s internal clock for the electron, but with a Monte Carlo simulated frequency twice that of de Broglie’s. An explanation is provided based on a previously developed four-dimensional model of the electron. The additional spatial degree of freedom resolves a large number of physical and mathematical conceptual issues in traditional relativistic particle and wave mechanics including the mechanism for de Broglie’s internal clock and the unexpected simulated channeling frequency.