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Physics Essays

Representative model of particle–wave duality and entanglement based on De Broglie's interpretation

J. Domínguez-Montes, E. L. Eisman

Published Jun 1, 2012• 0 citations
Publisher
DOI
10.4006/0836-1398-25.2.215

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The physical origin of the de Broglie wavelength remains one of the central interpretive questions in quantum mechanics. This work is developed within the Zero-field framework, a phenomenological model in which space is treated as a continuous medium containing localized regions of inward energy flow toward particle-centered Zero-fields. Within this framework, moving particles generate rotation-induced guiding structures referred to as Frontal Waves. These waves are proposed to accompany particle motion and provide a geometric interpretation of the de Broglie wavelength and wave–particle duality. The proposed Frontal Wave wavelength reproduces the standard de Broglie relation and is interpreted as the physical guiding structure associated with matter-wave behavior. The framework is applied to the Double Slit Experiment and the Mach–Zehnder interferometer, where Frontal Waves propagate through multiple paths and form interference structures that guide particle trajectories toward regions of constructive interference. Connections with Bohmian mechanics are discussed, emphasizing that the model serves as a phenomenological interpretation rather than a modification of the mathematical formalism of quantum mechanics. The Frontal Wave concept provides a geometric picture of matter-wave behavior and offers a unified interpretation of particle guidance, interference phenomena, and the de Broglie wavelength within the broader Zero-field framework.