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A Local Ontological Model of Double-Slit Fringes via Moiré Sampling and Non-Linear Detection

Baykal Sarioglu

Published Jun 21, 2026• 0 citations
Publisher

Abstract

Abstract Feynman’s classic exposition of the double-slit experiment asserts that no local, particle-only ontology can reproduce quantum interference fringes without invoking wave-particle duality or nonlocal communication. We re-examine the implicit assumptions of this paradigm by constructing a strictly local, counterfactual-definite sampling model. The framework relies on four components: (i) an oscillating detector substrate that modulates single-particle detection efficiency; (ii) a geometric moir´e (beat) pattern emerging from independent slit trajectories; (iii) a finite detector relaxation memory that provides a non-linear readout; and (iv) source-detector phase coherence. We demonstrate that while linear averaging over the sub-wavelength carrier landscape washes out the signal (the “Addition Problem”), a non-linear detector memory successfully extracts the macroscopic quantum envelope, yielding an r ≈ 0.89 Pearson correlation with the Born-rule intensity profile in Monte Carlo simulations across multiple detection functions. This work isolates the passivedetection assumption as a critical, unstated premise in traditional quantum impossibility arguments and provides an operational, local-causal alternative for single-particle interference statistics.

DOI
10.21203/rs.3.rs-10075675/v1

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Abstract Feynman’s classic exposition of the double-slit experiment asserts that no local, particle-only ontology can reproduce quantum interference fringes without invoking wave-particle duality or nonlocal communication. We re-examine the implicit assumptions of this paradigm by constructing a strictly local, counterfactual-definite sampling model. The framework relies on four components: (i) an oscillating detector substrate that modulates single-particle detection efficiency; (ii) a geometric moir´e (beat) pattern emerging from independent slit trajectories; (iii) a finite detector relaxation memory that provides a non-linear readout; and (iv) source-detector phase coherence. We demonstrate that while linear averaging over the sub-wavelength carrier landscape washes out the signal (the “Addition Problem”), a non-linear detector memory successfully extracts the macroscopic quantum envelope, yielding an r ≈ 0.89 Pearson correlation with the Born-rule intensity profile in Monte Carlo simulations across multiple detection functions. This work isolates the passivedetection assumption as a critical, unstated premise in traditional quantum impossibility arguments and provides an operational, local-causal alternative for single-particle interference statistics.
Quantum interference is traditionally interpreted as evidence of intrinsic wave–particle duality, invoking self-interference and wavefunction superposition. Here, we propose an alternative causal framework in which interference arises from interactions between a classical electron and a quantized electromagnetic field. In this picture, electrons follow definite, localized trajectories and produce discrete detection events, while the observed interference pattern emerges statistically from stochastic, nonlocal momentum transfers mediated by quantized field modes. Numerical simulations of the double-slit experiment show that dot-like interference fringes arise without invoking wavefunction collapse or intrinsic matter waves. Doubling the electron mass narrows the fringe spacing in agreement with de Broglie scaling, indicating that the effective wavelength emerges dynamically from particle–field coupling rather than representing an inherent property of the particle. The formulation is based on a rigorously defined Hamiltonian and derived equations describing electromagnetic coupling between particles and the slit environment. Although neutral particles such as neutrons or atoms carry no net charge monopoles, they possess electric or magnetic dipole and higher multipole moments that enable electromagnetic interactions with the slit apparatus, allowing discrete momentum transfer through the quantized field. Our simulations show that interference fringes arise from intermittent singleparticle detection events caused by stochastic momentum impulses from quantized electromagnetic modes. These results suggest a reinterpretation of wave–particle duality: the apparent wave-like behavior of matter may arise from interaction with the inherently wave-like quantized electromagnetic field—whose quanta are photons, the massless U(1)-gauge bosons—rather than from an intrinsic wave nature of the particles themselves. Our analysis is rigorous and is not speculative, because the proposed Hamiltonian for this system is physical. Within this nonlocal hidden-variable framework, the dot-like interference pattern observed in the double-slit experiment emerges from individual electrons traversing one slit at a time while receiving discrete momentum impulses from stochastic, spatially extended quantized electromagnetic fields.
The double-slit experiment is commonly interpreted as evidence that a single electron must be described by a spatially extended wavefunction whose path amplitudes interfere. Here, we present an alternative geometric formulation within the Bivector Standard Model, in which the observed far-field interference pattern is reproduced while the phase is attributed to an internal bivector clock carried by the electron. In this approach, each electron remains localized and produces a single detection event, while the familiar fringe pattern emerges statistically from the accumulation of many impacts. Interference arises from the comparison of clock phases associated with geometrically distinct paths, rather than from the superposition of spatial waves. The resulting probability distribution recovers the standard two-slit interference factor, the single-slit diffraction envelope, and the usual fringe-spacing relation in the Fraunhofer regime. The de Broglie wavelength emerges as the spatial manifestation of this transported phase. This formulation provides a geometric account of the origin of phase in single-electron interference, consistent with standard results while offering a distinct physical interpretation.
The double-slit experiment has stood for a century as the paradigmatic demonstration of quantum superposition: the standard interpretation holds that a particle passes through both slits simultaneously, existing in a superposition of two spatially separated states. This paper proposes a physically distinct alternative: the particle's matter wave — a real physical wave propagating through space in accordance with de Broglie's relation λ = h/p — passes through both slits, while the particle itself (matter) remains in an undetermined state until a constructive interference maximum is formed at the detection screen. The particle does not simultaneously occupy two locations; the wave does. This distinction eliminates the need for superposition as an ontological commitment while fully reproducing the observed interference pattern. We further show that the disappearance of the interference pattern upon which-path measurement is explained without invoking wavefunction collapse: the measurement interaction redirects the matter wave to a single-slit geometry, eliminating the two-wave interference condition. Three experimentally testable predictions distinguish this framework from the standard interpretation: (1) weak-measurement trajectory reconstruction should reveal single particle paths inconsistent with simultaneous two-slit passage; (2) diffraction fringe spacing should depend on the mass density of the slit material, because denser slit edges generate a steeper refractive-index gradient for the matter wave; (3) the fringe pattern should exhibit a density-dependent phase shift measurable with current matter-wave interferometry technology. This reinterpretation requires no new mathematical formalism — the Schrödinger equation and Born's rule are retained — but replaces the ontological claim of simultaneous multi-location existence with the physically consistent picture of matter-wave propagation through an undetermined-state particle.
In electron and photon interference experiments, detectors often display fringe patterns and coarse banding whose detailed appearance varies with material, exposure history, coherence, flux, and vacuum conditions — raising questions about the assumption that detection screens are strictly passive recorders of incident intensity. Though previous experiments used every known rigorously controlled procedure to minimize surface interactions, the passivity of those surfaces has yet to be explicitly tested. This paper proposes a set of empirical tests to assess whether coherence-sensitive, detector-local dynamics — including charge redistribution, gradual structural deformation, local heating, reversible trap occupancy, and surface contamination — contribute measurably to observed interference patterns. Specifically, it introduces a speculative, classical mechanism — the Emergent Attractor Model (EAM) — in which mask-edge-seeded coherence correlations are amplified through a multi-field cascade of history-dependent processes on the detector surface, modulating local absorption probabilities over multiple timescales. The primary purpose of the model is to null test as many contributing variables as possible. In EAM, emergent attractors form on conductive surfaces under grazing incidence. A single surface (such as a mask edge) can generate visible fringes via self-organized lateral excitations. In double-slit configurations, both the mask edge and detector surface contribute, with the detector amplifying mask-seeded correlations through impact-driven multi-field feedback. The proposed model reproduces key features of both single- and double-slit patterns, including blurred envelopes with banding, high-contrast fringe trains, long-term evolution of pattern contrast, flux-dependent visibility, and vacuum/history effects, without invoking free-space wave interference at the screen. It offers a concrete, falsifiable framework for testing the Apparatus Passivity Assumption and exploring whether EAM-like dual-site effects are present in real systems. Several qualitative predictions and diagnostic experiments are outlined to probe material dependence, coherence sensitivity, exposure history, flux, vacuum conditions, and reset protocols. These tests aim not to revise quantum mechanics, but to clarify the role of the detector in shaping observed patterns — and to determine whether EAM-like effects are present in real systems. The surface is a physical object governed by condensed matter physics, and diagnosing its complexity might complement decades of existing work in quantum interference. EAM is one possible detector-side mechanism among many, and every null result could still be informative for understanding detector physics. We propose testing this speculative model so that it can be conclusively falsified. Regardless of the final outcome, the field wins. Correspondence: rauwolfa@gmail.com
The single-quantum double-slit experiment is often taught through a compact narrative of localised detections, interference, and wave–particle duality that may conceal weak explanatory coordination. This qualitative-dominant mixed-methods study investigates how students and teachers distinguish description of the experimental outcome from recognition of its interpretative problem. The framework uses counterfactual model testing as an analytical lens for examining model–evidence coordination, together with epistemic framing, ontological flexibility, and multimodal representation. The study draws on 54 individually coded questionnaires from the “100 QM” course and six follow-up interviews. In this corpus, 48 participants (88.9%) adequately described the double-slit outcome, whereas 26 (48.1%) also articulated, in response to the questionnaire prompts, a specific explanatory tension or unresolved relation concerning the experimental outcome. Recurrent explanations invoked definite trajectories, literal wave–particle transformations, physicalised probability waves, appeals to self-interference, and anthropocentric observation. The findings indicate that descriptive familiarity and technical terminology do not by themselves ensure interpretative recognition. These findings reinforce the distinction between descriptive familiarity and interpretative understanding, showing that understanding the double-slit experiment involves not only descriptive adequacy, but also the recognition and examination of the explanatory tensions that emerge when proposed models are compared with the experimental evidence.
Standard interpretations of the quantum double-slit experiment rely on non-local wave-function collapse, single-particle self-interference across multiple apertures simultaneously, or retrocausal mechanisms. In this paper, I propose a strictly local, causal thought experiment in which individual quanta propagate as spatially extended, cohesive wavepackets carrying localized forward momentum. In my framework, a single wavepacket traverses only one aperture at a time by undergoing rotational boundary-wall scattering at the slit edges, while transferring its momentum to a single impact point on the detector screen and embedding a temporary spatial phase imprint ("skid mark") into the local quantum surface. Subsequent quanta of identical wavelength absorb and interact with the immediately preceding surface imprint, modifying their peak-and-trough trajectory distribution and overwriting the surface state in a strictly one-by-one sequential (Markovian) relay. Furthermore, I preemptively address key theoretical objections—including special-relativistic speed-of-light constraints, classical momentum transfer mechanics, non-local entanglement signaling paradoxes, planetary motion in local reference frames, and multi-wavelength cross-talk—demonstrating a self-consistent local-realist framework.