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Z4DP: Hydrodynamic Resolution of Wave-Particle Duality - Deterministic Mechanics of the Double-Slit Experiment in a Superfluid Vacuum

Pavel Konečný

Published Mar 9, 2026• 0 citations
Publisher

Abstract

This paper provides a fully deterministic, hydrodynamic resolution of wave-particle duality within the theoretical framework of a compressible superfluid continuum (Z4DP). The study offers a causal alternative to the Copenhagen interpretation and the concept of wavefunction collapse. In the presented model, the electron is defined as a macroscopic topological defect (sink) that generates a real phase pilot wave during its motion. During the double-slit experiment, this wave passes through both slits and interferes, whereas the physical node itself (the electron) passes through only a single slit and is subsequently hydrodynamically advected by the pressure gradient of the perturbed medium. Furthermore, the paper provides an exact mechanical explanation of the "Observer Effect" (Measurement Problem): introducing a measuring device into the system does not induce a collapse of reality, but rather represents a physical input of energy that triggers hydrodynamic noise within the medium. This noise destructively modifies the fragile pilot wave, causing the electron to lose its navigational gradient and continue its trajectory purely by inertia. The modification of the system's behavior is thus a direct consequence of classical fluid mechanics, restoring determinism and objective realism to quantum phenomena without the need for probabilistic wavefunctions or many-worlds interpretations.

DOI
10.5281/zenodo.18917352

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This paper provides a fully deterministic, hydrodynamic resolution of wave-particle duality within the theoretical framework of a compressible superfluid continuum (Z4DP). The study offers a causal alternative to the Copenhagen interpretation and the concept of wavefunction collapse. In the presented model, the electron is defined as a macroscopic topological defect (sink) that generates a real phase pilot wave during its motion. During the double-slit experiment, this wave passes through both slits and interferes, whereas the physical node itself (the electron) passes through only a single slit and is subsequently hydrodynamically advected by the pressure gradient of the perturbed medium. Furthermore, the paper provides an exact mechanical explanation of the "Observer Effect" (Measurement Problem): introducing a measuring device into the system does not induce a collapse of reality, but rather represents a physical input of energy that triggers hydrodynamic noise within the medium. This noise destructively modifies the fragile pilot wave, causing the electron to lose its navigational gradient and continue its trajectory purely by inertia. The modification of the system's behavior is thus a direct consequence of classical fluid mechanics, restoring determinism and objective realism to quantum phenomena without the need for probabilistic wavefunctions or many-worlds interpretations.
The double-slit experiment remains the empirical foundation of wave–particle duality. While standard quantum mechanics successfully predicts interference patterns via wave-function evolution and attributes the loss of interference to “decoherence,” it lacks a physical ontology. The Copenhagen interpretation and subsequent models offer mathematical descriptions of probability without identifying the underlying mechanical cause. This paper asserts that quantum mechanics is not a departure from physical realism but the statistical consequence of subatomic hydrodynamics. Under the Quantum Vector Time Field (QVTF) framework, the vacuum is modelled not as an empty geometry but as a continuous, highly pressurised superfluid medium. Subatomic masses are defined as topological vortex-solitons that generate continuous pilot-waves through this medium. We demonstrate that double-slit interference is the strict result of classical hydrodynamic steering, and we define quantum “decoherence” not as mathematical entanglement but as the physical destruction of the guiding wave structure via turbulent injection of measurement probes. By treating the vacuum as a physical fluid, the epistemological paradoxes of quantum mechanics are resolved into deterministic mechanics.
Standard quantum mechanics interprets the double-slit experiment through the lens of wave-particle duality, asserting that entities propagate as probability waves and collapse into discrete particles solely upon observation. However, this interpretation evades direct physical and mechanical causality by relying on abstract mathematics and assumed vacuums. This paper introduces a rigorous fluid-dynamic framework, grounded in the principles of **Dark Primordialism**, which posits that the universe operates exclusively through concrete hydraulic interactions. By replacing the probabilistic wave function with a continuous, incompressible cosmic fluid medium, we demonstrate that interference patterns are not emergent from abstract "wave collapse," but are the mechanical result of pressure-field superposition. The core overlapping pressure mechanics driving this phenomenon is formulated as: P_overlap = Sf ⊕ Mr = Φ + ((∇ρ_solar * ∇ρ_lunar) / R_medium) This paper provides: 1. A mechanical explanation for the interference pattern based on pressure streamlines. 2. A deterministic resolution to the "observer effect" through physical measurement perturbation. 3. Clear, testable experimental predictions regarding medium density modification and resistance gradients.
The double-slit experiment stands as the cornerstone of quantum mysticism, often interpreted as evidence for particles existing in multiple places simultaneously or consciousness collapsing reality. Within the Absolute Medium (AM) Model, this experiment ceases to be a probabilistic paradox and becomes a deterministic, fluid-dynamic interaction between a moving excitation and the universal energetic net. We demonstrate that what standard physics calls “wave-particle duality” is actually “core-wake duality”: a localized topological defect (the core) moving through an ultra-dense elastic substrate generates a physical wave field (the wake) that interferes, guiding the core along paths of least resistance. All variations of the experiment— which-way measurements, delayed choice, quantum eraser—receive mechanical explanations grounded in the medium’s properties. This framework eliminates the need for superposition, wavefunction collapse, or observer-created reality, replacing them with the coherent dynamics of a continuous medium.
This paper presents PPT-Quantum, a deterministic unification of quantum phenomena through the lens of classical fluid dynamics. By identifying the universal medium (vacuum) as a hyper-dense superfluid (ρuniv≈2.3×1017 kg/m3), we demonstrate the mathematical equivalence between the Schrödinger equation and the Euler equations for fluid flow. Key Contributions: Physical Mechanisms: Provides deterministic explanations for superposition, the observer effect, and the double-slit experiment using acoustic pilot-wave steering. Decoherence as Turbulence: Identifies "quantum decoherence" as hydrodynamic turbulence caused by thermal phonons, offering a roadmap for room-temperature Terahertz Phononic Computing. Open-Source Simulations: Included with this submission are two Python-based mathematical models: PPT_Quantum_The_Analytic_Hydrostatic_Pressure_Model___Double_Slit___.py: Simulates pilot-wave navigation and the mechanical impact of thermal turbulence (decoherence). PPT_Quantum_The_Decoherence_Simulator.py: Maps the analytic hydrostatic pressure geometry of the vacuum in a double-slit environment. This work builds upon the foundations laid in PPT-Atoms (Zenodo: 18727144) to complete a scale-invariant model of physical reality.
For exactly one century, the standard interpretation of quantum mechanics has conflated predictive statistical mathematics with physical ontology. By mistaking a mathematical map of probabilities for the physical territory of reality, twentieth-century physics enshrined Wave-Particle Duality and Wave-Function Collapse as fundamental tenets of nature, abandoning physical determinism for phenomenological mysticism. This repository contains the formal manuscript and executable visual proofs demonstrating that the paradox of Young's Double Slit experiment is entirely resolvable via macroscopic fluid thermodynamics. Utilizing the Informational Constraint Framework (ICF) and Macroscopic Relaxation Theory, we demonstrate that the electron is not a shape-shifting probability cloud, but a highly compressed, localized macroscopic geometry (the Core) propagating a continuous thermodynamic strain-gradient (the Wake) through a spatial substrate of strictly finite data-processing capacity. The Axiom of Propagation: The Wake shapes the terrain; the Core rides the terrain. By decoupling the Core from the Wake, this paper systematically derives single-slit kinematics, double-slit interference, the fundamental zero-mass nature of the photon, and the true physical reality of the "Observer Effect" strictly through the deterministic actions of continuous fluid topology. The cathedral of quantum probability is conceptually obsolete; it is herein mathematically replaced by the macroscopic thermodynamics of the spatial vacuum. Repository Contents: The_Double_Slit_Falsification.pdf: The complete theoretical manuscript, including the cross-domain unified index. icf_double_slit_animator.py: The executable Python script containing the macroscopic fluid topology animation proof. Double_Slit_Interference.gif & Single_Slit_Substrate_Strain.gif: High-resolution animated proofs of the Core/Wake topology. Double_Slit_Storyboard.png: High-resolution diagram of the topological phases.
The measurement problem and the subsequent collapse of the wave function remain the most philosophically contentious aspects of the Copenhagen interpretation of quantum mechanics, notoriously requiring an active, conscious observer to define reality. We propose a deterministic, fluid-dynamic resolution derived from the Null-Vector Gravity (NVG) framework, wherein the quantum vacuum is treated not as empty space, but as a macroscopic, non-perturbative Quantum Chromodynamics (QCD) condensate. In this model, an elementary particle such as an electron is not a point-mass governed by abstract probability amplitudes, but a stable topological defect—a localized displacement within the vacuum conformal structure. Prior to interaction, this defect propagates as a spatially extended solitary wave. We demonstrate mathematically that what is conventionally termed wave function collapse is the onset of a purely deterministic topological reconnection event. When the extended wave envelope encounters a macroscopic density gradient (e.g., the lattice of a detector screen), the vacuum displacement vectors undergo rapid non-linear contraction, snapping the delocalized energy back into a localized, point-like topological knot. This fluid-dynamic mechanism entirely eliminates the need for wave-particle duality and the observer effect, restoring objective realism to quantum mechanics while fully preserving the empirical interference patterns predicted by the Schrödinger equation.