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Physics Letters A

A quantum mechanical model of interference

A. Shalom, J. Žák

Published Feb 1, 1973• 2 citations
Publisher
DOI
10.1016/0375-9601(73)90522-7

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A recently proposed model of the Dirac electron, which has been shown to describe several observed properties of the particle correctly, is in the present paper shown to be also able to explain quantum interference by classical probabilities. According to this model, the electron is not point-like, but rather an “entity with structure”, formed by a fast periodic motion of a “light-like object”, whose momentum (p) causes the angular momentum responsible for the spin, and whose energy (E = pc) is equal to the energy of the electron, mc2. A qualitative description of the model is given, together with the quantitative formulae that allow to discuss interference. Applied to the experimental situation of the “two-slit” experiment, the formulae yield the same time dependence of the detection probability as the quantum mechanical treatment, and hence the same interference pattern. In contrast to quantum mechanics, the pattern is due to “particle interference” rather than to “wave interference”. No wave-particle paradox arises. The merits of the model are summarized, and its physical content discussed.
The measurement problem in quantum mechanics remains one of the most fundamental unresolved questions in physics. This paper proposes a physical mechanism for wavefunction collapse based on interference within a chrono-medium: a dynamic substrate that carries memory of prior interactions. In this framework, particles are modeled as sources of dynamical wakes that propagate through the chrono-medium. The double-slit interference pattern is shown to emerge from self-interference of a single particle's wake. When an observer or which-path detector is introduced, it sources an independent wake. The superposition of the particle wake and observer wake results in destructive interference, leading to the observed loss of interference fringes. We further propose that retrograde observer wakes can reconstruct interference patterns under specific conditions, offering a physical mechanism for apparent retrocausality without violating relativistic causality. This model provides a substrate-based interpretation of quantum measurement and suggests new experimental tests within double-slit and delayed-choice configurations.
As the mainstream interpretation of quantum mechanics, the Copenhagen interpretation attributes the microscopic double-slit interference phenomenon to the probabilistic superposition state of particles and the wave function collapse induced by observation, with the core of probabilistic and non-realistic physical cognition. The Pearl-Glow Model takes realism as its underlying logic, advocating that microscopic particles always propagate along definite paths. Double-slit interference is not the result of the probabilistic superposition of particles passing through two slits simultaneously, but a wave-like appearance formed by the deterministic interaction between the glow field inherently carried by particles, the double-slit structure and the spatial field, which further leads to field superposition and phase difference. The regular ”zebra pattern” interference fringes observed in the 5–30 GHz radio band of the Crab Nebula pulsar are a macro-scale double-slit-like interference phenomenon generated by the combined action of definite propagation paths, gravitational fields and plasma fields, whose formation mechanism is highly consistent with the Pearl-Glow Model. This paper systematically expounds the core connotation of the Pearl-Glow Model, analyzes the physical characteristics of the pulsar’s ”zebra pattern” phenomenon, demonstrates the cross-scale corroboration value of macro celestial interference for the Pearl-Glow Model, and reinterprets the essence of double-slit interference from a realistic perspective. It is pointed out that the interference phenomenon is not an exclusive feature of microscopic quantum probabilistic superposition, and deterministic field interactions can uniformly explain the interference effects at both microscopic and macro scales, providing new observational evidence and theoretical support for the realistic interpretation of quantum mechanics. Keywords: Pearl-Glow Model; Realism; Double-slit interference; Crab Nebula pulsar; Zebra pattern; Copenhagen interpretation; Interpretation of quantum mechanics