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A Local Deterministic Thought Experiment for the Double-Slit Phenomenon via Finite Wavepacket Boundary Scattering and Sequential Surface-State Memory

Gaurang Nimavat

Published Oct 14, 2026• 0 citations
Publisher

Abstract

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.

DOI
10.5281/zenodo.23368357

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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.
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.
Double-slit interference is one of the most fundamental quantum phenomena among photons and other particles. We propose a novel and realist quantum framework in which interference patterns in double-slit experiments arise not from wavefunction self-interference or collapse, but from causal non-local, quantized cavity-induced momentum exchange between the electron and the double-slit field potential. Unlike Copenhagen or Bohmian interpretations, our theory treats the electron as a deterministic, soliton-like entity governed by classical-like trajectories. The quantized potential of the slits—described via creation and annihilation operators—is responsible for discrete momentum transfer through coupling with cavity or barrier modes, modeled via octonionic algebra that differentiates internal particle structure from external field dynamics. The resulting interference pattern emerges from non-local, quantized interactions between the electron and field modes without invoking the probabilistic wavefunction. Our model aligns with experimental violations of Bell’s inequality and avoids conceptual paradoxes such as wavefunction collapse and self-interference. The framework makes several testable predictions, offering a promising new direction for understanding quantum interference with clearer physical realism.
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.
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.
This paper presents a foundational thought experiment and proposes a radical ontological framework for interpreting quantum mechanics and the nature of time. It moves beyond conventional interpretations by testing them against a novel scenario: a hypothetical "time machine" (device 𝒲) capable of passively reading the past state of a quantum system without interacting with it. The central testbed is the classic double-slit experiment. In Stage 1, performed at time T_0, the experiment is run without any path detection, yielding the standard interference pattern. In Stage 2, at a later time T_0 + ΔT, the device 𝒲 is used to retroactively "read" the precise state of the system at the moment the electron passed the slit plane. The pivotal question is: What information about the electron's path will 𝒲 find? The analysis demonstrates that established interpretations face significant paradoxes: The Copenhagen Interpretation risks falling into retrocausality, as the mere potential for future path-information readout could retroactively collapse the interference pattern. The Many-Worlds Interpretation leads to internal inconsistency, as the deterministic, single-path history observed within a given branch by 𝒲 contradicts the interference pattern observed in that same branch's past. The de Broglie-Bohm (dBB) Interpretation, while positing a hidden trajectory, struggles with the mechanism of how 𝒲 could read this information without interacting with the guiding pilot wave, which is essential for the interference effect. As a resolution, the paper proposes a new ontological model based on a geometric, discrete conception of reality. The core tenets are: Fundamental Entities: Reality is a dynamic network of "p-gluons," postulated as geometric quanta of spacetime. Discrete Frames: Observable reality is not continuous but consists of a sequential generation of discrete, global "frames" (K_i). Each frame is a complete geometric snapshot of the entire p-gluon network's configuration. The Axiom of Record Economy (AOZ): This is the central formal postulate. At each generative step, at most one frame from the space of locally possible states (ℋ_poss) is physically realized. A frame is generated if and only if it satisfies a condition of global consistency with the entire history, as determined by a fundamental "algorithm of reality" (𝒜). Crucially, states in ℋ_poss that are not selected for generation attain no ontological status whatsoever; they are abstract possibilities, not unrecorded facts. Emergent Time: Observable time is not a fundamental background parameter but an emergent measure of the rate (Ḳ) at which these global frames are generated. Within this Frame-Recording Ontology, the time-machine paradox finds an elegant and decisive solution: In the double-slit experiment without a detector, the only configuration consistent (via algorithm 𝒜) with the future observation of an interference pattern is a global superposed state. This state, describable as an extended pattern of geometric correlations in the p-gluon network encompassing both slits, is the one and only frame generated (K_T0). Deterministic "path" frames (electron at S_1 or S_2) are not generated; they remain unrealized abstractions. Therefore, when device 𝒲 reads the past, it accesses the sole ontological record: frame K_T0. It finds no geometric data corresponding to a classical path because such data was never physically recorded. The answer is not "the information is hidden" (epistemology), but "the corresponding fact was never generated" (ontology). The paper elaborates on the non-anthropomorphic, non-teleological nature of algorithm 𝒜, framing it as a constraining structure akin to a variational principle rather than a conscious selector. It discusses the model's implications for the measurement problem (reinterpreted as the generation of a "classical" frame), nonlocality, and its philosophical shift from epistemic to ontological indeterminacy. Methodology: The work is developed using the author's "Pencil Case Philosophy" or "Sonar Modeling" approach. This methodology begins by constructing minimal axiomatic building blocks (p-gluons, AOZ, 𝒜), activates the system, and rigorously traces its logical consequences without prior commitment to reproducing existing theoretical frameworks.
We propose a quantum framework where cavity-induced nonlocal stochastic quantized momentum transfer governs double-slit interference of single eelectrons, replacing self-interference, wavefunction collapse, and Schrödinger’s wavefunction description. Using Heisenberg’s operator formalism, we model the electron’s interaction with the double slit as a quantized field potential. This approach explains interference via discrete momentum transfer through stochastic cavity modes. We explore its role as a non-local hidden-variable mechanism, predicting deviations in Bell violation, and finer discrete interference fringes in short cavity-mode wavelength regimes, opening new avenues for experimental verification. Our new interpretation of quantum dynamics sheds light on long-standing debates about quantum reality, hidden variables, wave-function superposition and Schrödinger’s cat, the illusion of self-interference of a single electron, and instantaneous wavefunction collapse misconception in the measurements. Our theory possesses the deterministic description of an electron a stochastic yet nonlocal hidden variable characteristic of the quantized cavity modes. It meets Einstein’s desire for a more complete theory and bridges the gap between physical reality and the incomplete conventional quantum theory that requires confusing Copenhagen or many-world interpretations.