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The Double-Slit Experiment: A Flux-Based Analysis Using Probability Current and Decoherence

Cromwell, Tami Marie Cromwell, Tammy Marie Stomberg, Tami Stomberg

Published Nov 18, 2025• 0 citations
Publisher

Abstract

This paper develops a fully empirical, physics-grounded reinterpretation of the double-slit experiment using the same flux-ledger framework established in Modules A–D of the Zero Infinity Research Program. By expressing quantum interference in terms of probability current density, boundary flux, and environmental decoherence, the work shows that the double-slit phenomenon requires no mysteries, hidden forces, or nonlocal metaphysics. Instead, the interference pattern emerges naturally from: Conservation of probability current, Phase-coherent flux across an open boundary, and Loss of coherence encoded as a measurable entropy-flux term Ψ∞. The analysis re-derives the standard results—interference fringes, collapse under measurement, and decoherence scaling—from first principles while embedding them within the broader conservation trilogy: Φ∞ (boundary energy flux) Ψ∞ (entropy/memory flux) Π∞ (momentum flux) This connects quantum optics to the same flux-driven framework used to model black hole mergers, spacecraft recoil, comet polarization curves, and organic spectral coherence in earlier modules. The paper also integrates cross-disciplinary results from decoherence theory, Bohmian mechanics, optical coherence tomography, and open quantum systems, showing how each maps cleanly onto a boundary-flux formalism. The result is a physically rigorous, mathematically transparent, and conceptually unifying explanation of the double-slit experiment—one that preserves standard quantum mechanics while clarifying how and where interference information is stored, exported, and erased. This work extends the Zero Infinity Program into quantum foundations, offering a synthesis of classical wave mechanics, quantum probability current, thermodynamic export, and information flow across system boundaries.

DOI
10.5281/zenodo.17642227

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This paper develops a phase-first reconstruction of quantum interference within standard quantum mechanics and wave optics. Its central idea is that interference patterns become conceptually clearer when the complex phase is treated as the organizing structure and probability or intensity density is treated as the visible statistical expression of that structure. The guiding principle is: the phase structures the pattern; the density renders it visible. The paper shows how this principle applies to single-slit diffraction, double-slit interference, Airy patterns, Fourier optics, Fresnel propagation, probability current, the Madelung representation, which-way marking, reduced coherence, and quantum eraser experiments. In each case, the observed density pattern is interpreted as the visible result of coherent phase relations among amplitudes. The reconstruction is strictly conservative. It does not modify quantum mechanics, the Born rule, unitary dynamics, or standard wave optics. It introduces no new postulates and makes no new empirical prediction. Its purpose is conceptual and pedagogical: to clarify the architecture of quantum interference by placing relative phase at the center of the analysis. This work is Part I of the series The Geometry of Phase. It establishes the phase-geometric foundation for later parts of the series, where the same perspective is extended to de Broglie matter waves, proper-time phase, relativistic action, and possible curvature-coupled phase extensions.
The double‑slit experiment epitomizes the wave–particle duality of quantum mechanics. In standard treatments, the interference pattern follows from superposition, while measurement of “which path” destroys coherence. The precise mechanism that turns a coherent superposition into a localized detection event remains an open question. We propose an operator‑based model within the open‑quantum‑system framework that describes the entire process through seven effective Lindblad generators: fluctuating diffusion (initial wavepacket spreading), cyclic reset (quantum Zeno effect), spatial‑mode splitting (simultaneous excitation of both slits), free evolution (interference formation), liminal projection (threshold‑activated measurement), irreversible loss (detector inefficiency), and subspace mapping (projection onto a definite detection outcome). Unlike standard quantum mechanics, the model introduces a nonlinear decoherence rate that depends on the spatial spread of the wavefunction, capturing environment back‑action through a feedback‑controlled coupling. This dependence leads to a small but testable reduction of fringe visibility with increasing particle flux or wavepacket width, even in the absence of explicit which‑path measurement. The measurement activation is modeled as a smooth threshold function, giving a sharp transition in detection probability as the system reaches the screen. Analytical expressions for visibility and the critical Zeno frequency are derived, and numerical simulations are presented. The predictions are accessible with current experimental technology (weak measurements, controlled decoherence, cavity‑QED systems). The framework suggests that wave–particle duality can be understood as a dissipative phase transition, bridging foundational quantum theory with practical open‑system control.
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The double-slit experiment has remained one of the most profound and conceptually challenging demonstrations in physics. While the mathematical framework of Quantum Mechanics - superposition, wave function, and state collapse - accurately predicts outcomes, it fails to provide a clear causal description of how potential quantum states transform into actual, registered events. This paper presents the Event-Chain Model, a new conceptual framework that represents every quantum process as a causal sequence of connected physical events. Each event reflects an irreversible registration, transforming quantum potentials into factual reality. The model introduces three core components: the Potential Pattern, the Irreversible Event, and the Event Chain that constitutes reality itself. Using this framework, the paper explains interference, decoherence, quantum erasure, and the EPR-eraser experiments without invoking many-worlds or retrocausality. Superposition is defined as a Potential Pattern - a structured map of possibilities - while collapse is redefined as a natural, physical registration process that generates an event in the chain of reality. Interference patterns thus emerge not as physical waves but as cumulative records of uncollapsed potentials. The Event-Chain Model preserves all results of Quantum Mechanics while adding a transparent causal layer, linking mathematical formalism with physical reality. It provides a unified interpretation of how potential, event, and actuality co-exist and evolve within a consistent quantum framework.
This work presents a fully analytic and collapse-free explanation for the suppression of interference in the double-slit experiment under measurement. The core idea is a simple probability-conservation rule in which the total amplitude of the system is redistributed between a coherent matter mode and a radiative (detector) mode. This mechanism, referred to as mode-fission, yields a direct scaling relation for the interference term,Iint(t) = pm(t) · Iint(0),showing that visibility decreases in proportion to the remaining coherent fraction of the matter mode.The derivation requires no wave-function collapse, no environment-induced decoherence, and no non-unitary dynamics. It provides a deterministic, physically transparent alternative to traditional interpretations of quantum measurement, and generalizes naturally to Mach–Zehnder interferometers, cavity-QED photon counting, Ramsey fringes, and qubit readout.
This paper develops the MID/QC interpretation of measurement and decoherence using the double‑slit experiment as the foundational case study. In the MID/QC framework, quantum behavior arises from coherence wells in a substrate tension field, and measurement corresponds to a physical perturbation that disrupts or merges these wells. The double‑slit geometry provides a clean setting to analyze how coherence structures form, interfere, and collapse. Decoherence emerges from gradient interference, tension‑flow interactions, and phase misalignment between local coherence minima. This substrate‑level mechanism produces classical outcomes without invoking abstract projection or symbolic wavefunction collapse. Part I introduces the core concepts: coherence wells, substrate perturbation, gradient‑driven decoherence, and the physical mechanism underlying measurement. Later parts will extend the analysis to delayed‑choice configurations, quantum eraser setups, and general measurement architectures.