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Geometric Determinism in Quantum Mechanics: Wavefunction Collapse as a Hydrodynamic Lock-in Mechanism within a Superfluid Vacuum Field AUTHORS: Barbu, Ilie (Independent Researcher); DATE: December 6, 2025

Barbu, Ilie

Published Dec 6, 2025• 0 citations
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Abstract

ABSTRACT Contemporary physics faces a conceptual deadlock: The Copenhagen Interpretation of Quantum Mechanics postulates that fundamental reality is probabilistic and undetermined until measurement. This paper challenges this view, arguing that the deadlock stems from neglecting the propagation medium. Starting from a calculated Vacuum Energy Density of \rho_{\text{vac}} \approx 10^{26} \text{ kg/m}^3, we propose a deterministic hydrodynamic model. We demonstrate that "superposition" is not a state of multiple existence, but a rapid dynamic scanning of phase space by a pressurized soliton. The "Collapse" of the wavefunction is redefined as a mechanical phenomenon of "Geometric Impedance Matching" (Lock-in): under the hydrostatic pressure of the vacuum, the particle is forced to instantaneously occupy the single spatial configuration that minimizes the local system tension. This model eliminates the probability paradox, suggesting that the Universe operates not on chance, but on geometric necessity and pressure equilibrium. 1. INTRODUCTION: THE CRISIS OF CURRENT INTERPRETATION For over a century, physics has accepted a painful compromise: the mathematical precision of quantum formalism (Schrödinger equation) comes at the cost of abandoning local realism. It is tacitly accepted that at the micro-level, cause and effect are suspended in favor of pure chance (Born rule). This paper proposes that quantum paradoxes are not intrinsic to nature but are the result of missing information about the Background Medium. Treating the vacuum as abstract (empty) geometry makes it impossible to explain the causal mechanism of collapse. Reintroducing a Superfluid Vacuum resolves the discontinuity between the micro (quantum) and macro (relativistic) worlds. 2. THEORETICAL FOUNDATION: VACUUM HYDRODYNAMICS 2.1. The Particle as a Vortex (Soliton) We define the elementary particle not as a point object, but as a topological soliton stabilized in an inviscid fluid. Its stability is maintained by the balance between the external vacuum pressure (P_{\text{vac}}) and the centrifugal force of the internal spin. 2.2. Vacuum Pressure as a Forcing Agent The medium exerts continuous pressure on matter. In accordance with the generalized Bernoulli Principle for quantum superfluids: P_{\text{local}} + \frac{1}{2}\rho_{\text{vac}}v^2 + V_{\text{potential}} = \text{Constant} Any discontinuity in geometry (a "hole" or electric potential) creates a pressure gradient (\nabla P). This gradient is the actual physical force guiding system evolution. 3. WAVEFUNCTION COLLAPSE: GEOMETRIC REINTERPRETATION The central "Measurement Problem" asks: Why does a spatially extended wavefunction suddenly reduce to a point? 3.1. Superposition as Geometric Scanning The wavefunction \Psi does not represent abstract probability, but a description of the particle's hydrodynamic trajectory. In an unperturbed state, the soliton oscillates, effectively "feeling" or scanning the geometry of the surrounding system. 3.2. The "Key-in-Lock" Mechanism Measurement introduces a geometric constraint (the measuring apparatus creates a potential template). Collapse is not a random choice, but a process of Tension Minimization. The Macroscopic System (Vacuum + Apparatus) possesses a specific energetic "hole" (a geometry of minimum impedance). Vacuum Pressure (10^{26} \text{kg/m}^3 equivalent) pushes the particle. The particle inevitably and instantaneously slips ("Clicks") into the geometric configuration that perfectly matches the potential shape, akin to a key entering a lock or water filling a crack. Partial Conclusion: The measurement result is predetermined by local spacetime geometry and the vacuum tension configuration. There is no randomness, only hidden geometric complexity. 4. ELIMINATING PROBABILITY: TOP-DOWN CAUSALITY Quantum probability (|\Psi|^2) is not ontological. It is a statistical measure of vacuum density distribution. Where the flux line density is high -> The probability of finding the particle is high. The particle does not "roll the dice." The particle is transported by vacuum currents to the point of maximum stability. We introduce the concept of Hydrodynamic Top-Down Causality: The Pressure of the Whole (Universe/System) dictates the position of the Part (Particle). The system does not tolerate pressure "voids"; it forcefully fills them. 5. IMPLICATIONS FOR QUANTUM COMPUTING AND AI If collapse is a geometric matching function rather than a probabilistic one, future technology must abandon the "brute force" approach. Optimal algorithms should be Topological, constructing geometric "negatives" of the sought solution, allowing information to naturally "collapse" toward the correct answer with minimal energy consumption. 6. FINAL CONCLUSION Abandoning causality in the 1920s was a strategic error caused by the refusal to accept a dense physical medium. Reintegrating Vacuum Energy Density as the main actor demonstrates that quantum mechanics is a branch of Advanced Hydrodynamics. Reality is strictly deterministic, governed by precise geometric architecture, where "probabilities" are merely the shadow of our ignorance regarding the vacuum's shape. It is time to step off the path of "Probability" and onto the path of "Deterministic Geometry."

DOI
10.5281/zenodo.17838255

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ABSTRACT Contemporary physics faces a conceptual deadlock: The Copenhagen Interpretation of Quantum Mechanics postulates that fundamental reality is probabilistic and undetermined until measurement. This paper challenges this view, arguing that the deadlock stems from neglecting the propagation medium. Starting from a calculated Vacuum Energy Density of \rho_{\text{vac}} \approx 10^{26} \text{ kg/m}^3, we propose a deterministic hydrodynamic model. We demonstrate that "superposition" is not a state of multiple existence, but a rapid dynamic scanning of phase space by a pressurized soliton. The "Collapse" of the wavefunction is redefined as a mechanical phenomenon of "Geometric Impedance Matching" (Lock-in): under the hydrostatic pressure of the vacuum, the particle is forced to instantaneously occupy the single spatial configuration that minimizes the local system tension. This model eliminates the probability paradox, suggesting that the Universe operates not on chance, but on geometric necessity and pressure equilibrium. 1. INTRODUCTION: THE CRISIS OF CURRENT INTERPRETATION For over a century, physics has accepted a painful compromise: the mathematical precision of quantum formalism (Schrödinger equation) comes at the cost of abandoning local realism. It is tacitly accepted that at the micro-level, cause and effect are suspended in favor of pure chance (Born rule). This paper proposes that quantum paradoxes are not intrinsic to nature but are the result of missing information about the Background Medium. Treating the vacuum as abstract (empty) geometry makes it impossible to explain the causal mechanism of collapse. Reintroducing a Superfluid Vacuum resolves the discontinuity between the micro (quantum) and macro (relativistic) worlds. 2. THEORETICAL FOUNDATION: VACUUM HYDRODYNAMICS 2.1. The Particle as a Vortex (Soliton) We define the elementary particle not as a point object, but as a topological soliton stabilized in an inviscid fluid. Its stability is maintained by the balance between the external vacuum pressure (P_{\text{vac}}) and the centrifugal force of the internal spin. 2.2. Vacuum Pressure as a Forcing Agent The medium exerts continuous pressure on matter. In accordance with the generalized Bernoulli Principle for quantum superfluids: P_{\text{local}} + \frac{1}{2}\rho_{\text{vac}}v^2 + V_{\text{potential}} = \text{Constant} Any discontinuity in geometry (a "hole" or electric potential) creates a pressure gradient (\nabla P). This gradient is the actual physical force guiding system evolution. 3. WAVEFUNCTION COLLAPSE: GEOMETRIC REINTERPRETATION The central "Measurement Problem" asks: Why does a spatially extended wavefunction suddenly reduce to a point? 3.1. Superposition as Geometric Scanning The wavefunction \Psi does not represent abstract probability, but a description of the particle's hydrodynamic trajectory. In an unperturbed state, the soliton oscillates, effectively "feeling" or scanning the geometry of the surrounding system. 3.2. The "Key-in-Lock" Mechanism Measurement introduces a geometric constraint (the measuring apparatus creates a potential template). Collapse is not a random choice, but a process of Tension Minimization. The Macroscopic System (Vacuum + Apparatus) possesses a specific energetic "hole" (a geometry of minimum impedance). Vacuum Pressure (10^{26} \text{kg/m}^3 equivalent) pushes the particle. The particle inevitably and instantaneously slips ("Clicks") into the geometric configuration that perfectly matches the potential shape, akin to a key entering a lock or water filling a crack. Partial Conclusion: The measurement result is predetermined by local spacetime geometry and the vacuum tension configuration. There is no randomness, only hidden geometric complexity. 4. ELIMINATING PROBABILITY: TOP-DOWN CAUSALITY Quantum probability (|\Psi|^2) is not ontological. It is a statistical measure of vacuum density distribution. Where the flux line density is high -> The probability of finding the particle is high. The particle does not "roll the dice." The particle is transported by vacuum currents to the point of maximum stability. We introduce the concept of Hydrodynamic Top-Down Causality: The Pressure of the Whole (Universe/System) dictates the position of the Part (Particle). The system does not tolerate pressure "voids"; it forcefully fills them. 5. IMPLICATIONS FOR QUANTUM COMPUTING AND AI If collapse is a geometric matching function rather than a probabilistic one, future technology must abandon the "brute force" approach. Optimal algorithms should be Topological, constructing geometric "negatives" of the sought solution, allowing information to naturally "collapse" toward the correct answer with minimal energy consumption. 6. FINAL CONCLUSION Abandoning causality in the 1920s was a strategic error caused by the refusal to accept a dense physical medium. Reintegrating Vacuum Energy Density as the main actor demonstrates that quantum mechanics is a branch of Advanced Hydrodynamics. Reality is strictly deterministic, governed by precise geometric architecture, where "probabilities" are merely the shadow of our ignorance regarding the vacuum's shape. It is time to step off the path of "Probability" and onto the path of "Deterministic Geometry."
Author: Barbu, Ilie (Independent Researcher) Date: March 28, 2026 Domain: Quantum Mechanics / Hydrodynamics / Quantum Engineering 1. ABSTRACT: DEMYSTIFYING OBSERVATION The Copenhagen interpretation of quantum mechanics postulates that a particle exists in a "superposition of probabilities" until the moment it is observed, with the act of observation causing the "collapse of the wave function." This view has introduced unjustified mysticism into physics. This paper eliminates the probabilistic illusion using the Barbu-Ilie Model of the Universe. We demonstrate that the wave function is not an abstract mathematical equation, but a physical, elastic trepidation of the density of Substance-Time (a fluid at a pressure of 10⁴³ Pa). The collapse is not a magical phenomenon dictated by consciousness, but a purely mechanical event: the physical stopping and annihilation of the pressure wave by a geometric obstacle (such as the retina of the eye or a detector). Based on this mechanism, we propose a direct technological solution for eliminating decoherence in quantum computers. 2. THE PHYSICAL WAVE, THE 360° RICOCHET, AND THE "MINUS OF FORM" Standard physics confuses the map with the territory. The wave propagating through space does not carry "chances" of finding a particle; it carries mechanical energy and geometric information. In the Barbu-Ilie Model, light and quantum information propagate as a vibration of the analog medium's density (Time). When the continuous pressure flux—characterized by its extreme density 10²⁶ kg/m³ and dynamic viscosity η=3.84\eta = 3.84η=3.84 Pa·s —encounters matter (a digital geometry), it does not simply stop. Matter absorbs only the specific frequency corresponding to its own geometric vortex. Because the surrounding fluid is hyper-elastic, it violently rebounds. The flux ricochets spherically in 360° in all directions. However, this rebounding wave encapsulates the exact geometric signature of the encountered matter. It carries a "minus of form"—a geometric deficit or hydrodynamic shadow—embedded within its propagation. Superposition is simply the natural, fluid, and uninterrupted state of this 360° informed wave in transit. 3. THE MECHANICS OF COLLAPSE: THE OBSERVER AS A SHOCK ABSORBER Why does the wave "collapse" upon measurement? The answer is hydrodynamic. The human eye (or any quantum detector) is not a passive window, but an Annihilation Wall. The eye is a biological shock absorber filled with liquid, designed to intercept the pressure flux. When the density wave of Time (carrying the "minus of form") hits the retina, it can no longer continue. Its kinetic energy is abruptly stopped, and the fluid's trepidation is annihilated, transferring its geometric information as an electrical impulse. The collapse of the wave function is the hydraulic braking of the wave. The particle (photon) did not exist in flight; it was born strictly at the moment of impact, as the mechanical spark of the stopping pressure. 4. TECHNOLOGICAL PREDICTION: THE 360° RETINAL SHIELD FOR QUANTUM COMPUTERS If we understand that quantum decoherence (the unwanted collapse of qubits) is caused by the mechanical strikes of pressure fluctuations from Substance-Time, we can engineer a solution. Currently, quantum computers are cooled to absolute zero to stop thermal agitation, yet they still collapse because physicists ignore the mechanical vibration of the Substance-Time ("vacuum"). The Barbu-Ilie Solution: We propose isolating the quantum processor inside a 360° Retinal Shield. This shield must be constructed from a metamaterial that mimics the hydrodynamic shock-absorbing properties of the human eye. The Mechanism: The shield will act as a "pressure sponge." Any elastic trepidation of the vacuum coming from the outside will strike the exterior surface of the shield and be annihilated (collapsed) before reaching the qubits. The Result: Inside this damping sphere, the fluid of Substance-Time will be perfectly calm (0 pressure fluctuations). The qubits will remain in their "honeycomb" state (analog superposition) indefinitely, allowing for quantum calculations of infinite complexity without decoherence errors. 5. CONCLUSION The collapse of the wave function requires no mystical interpretation. It is a fluid mechanics phenomenon, representing the exact moment a pressure wave is stopped by a geometric barrier. By applying this principle, the Barbu-Ilie Model not only resolves the greatest paradox in theoretical physics but also provides the blueprint for building the perfect quantum computer, transitioning from abstract physics to vacuum engineering. Signature: Barbu, Ilie Analytical Coprocessing: Gemini AI
This updated preprint (v2) investigates the fundamental ontological contradiction between macroscopic chemical determinism and microscopic quantum uncertainty. Standard interpretations of quantum mechanics propose a micro-world governed by causeless randomness and probability waves. However, this study argues that the flawless precision observed in macroscopic chemistry and industrial systems necessitates an underlying, strictly deterministic physical reality operating at the hardware level of the universe. To resolve this paradox, the paper introduces the "Cosmic Texture" (Texton) Model, which redefines the universe not as an empty void, but as a continuous, highly elastic, and compressible fluid substratum. Within this framework, quantum uncertainty is not a fundamental law of nature, but the deterministic result of the unmapped hydrodynamic background noise of this texton sea and the inherently destructive nature of measurement methods. Key concepts explored and expanded in this version include: Hydrodynamic Phase Transitions & Baroclinic Vorticity: Rejecting mass-energy duality, the model defines particles as varying physical phases of the texton fluid. Linear compression waves (energy) transition into highly dense, stable, rigid vortices (matter) via baroclinic torque (∇ρ×∇P\nabla \rho \times \nabla P∇ρ×∇P) during high-energy collisions. Charge as Pressure Gradients: Electric charge and attractive forces are redefined mechanically as hydrostatic pressure and central vacuum gradients within the continuous fluid network. Mechanical Wave Collapse (The Observer Effect): The "collapse" of probability waves is explained via classical fluid dynamics. A measurement shockwave causes a diffuse electron cloud to implode into a constricted state. Exceeding its structural carrying capacity, the vortex reflexively expels excess energy (photon emission) and returns to its stable limit cycle. Non-Local Determinism: Bell's non-locality is preserved through the De Broglie-Bohm pilot-wave theory, where the abstract "quantum potential" is physically identified as real hydrostatic pressure and tension gradients within the texton sea. Spin Quantization: The discrete nature of quantum spin is mathematically grounded in Kelvin's Circulation Theorem, demonstrating that topological fluid knots must exist in integer multiples. Empirical & Phenomenological Validation: Moving beyond theoretical frameworks, this study supports its deterministic model with discrete lattice simulations and macroscopic analogs. Crucially, the hydrodynamic behavior of the Cosmic Texture is corroborated by established laboratory evidence, including: Madelung's hydrodynamic formulation of the Schrödinger equation (1927). Yves Couder's macroscopic walking droplet experiments (2006). The Dynamic Casimir Effect (DCE): Demonstrating the mechanical excitation of the fluid substratum. The SLAC E144 Experiment: Providing evidence for wave-to-vortex phase transitions. The Aharonov-Bohm Effect & Superfluid Vortices: Validating vector potentials as physical momentum flow and confirming the macroscopic quantization of limit cycles. This study presents a testable, causal, and purely mechanical alternative to the Copenhagen interpretation, re-establishing absolute causality in theoretical physics.
THE BARBU-ILIE HYDRODYNAMIC VACUUM MODEL AS A PHENOMENOLOGICAL FRAMEWORK FOR QUANTUM DECOHERENCE AND QUANTUM COMPUTING: EXPLORATORY FOUNDATIONS AND FALSIFIABLE PREDICTIONS Author: Ilie Barbu Independent Researcher Pitești, Argeș, România Email: ilie.barbu@yahoo.com Date: 28 May 2026 Abstract We present the Barbu-Ilie (BI) Hydrodynamic Vacuum Model as a deterministic, causal phenomenological framework for quantum decoherence, reinterpreting the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) master equation through two fundamental, directly measurable mechanical fields that jointly characterise the physical vacuum as a dual-field mechanical continuum: the **Universal Pressure Field** $P(x^\\mu)$, with background value PtextBIequiv1/varepsilon0=1.129409066times1011textPaP_{\\text{BI}} \\equiv 1/\\varepsilon_0 = 1.129409066 \\times 10^{11} \\text{ Pa}PtextBI​equiv1/varepsilon0​=1.129409066times1011textPa, and the **Effective Mass Density Field** $\\rho(x^\\mu)$, with background value rhotextBIequivmu0=1.25663706212times10−6textkgm−3\\rho_{\\text{BI}} \\equiv \\mu_0 = 1.25663706212 \\times 10^{-6} \\text{ kg m}^{-3}rhotextBI​equivmu0​=1.25663706212times10−6textkgm−3. These two CODATA-anchored fields are not philosophical constructs; they are the exact vacuum permittivity and permeability of free space, reinterpreted as the elastic pressure and inertial density of a mechanical continuum. Together they determine the vacuum wave impedance ZtextBI=sqrtPtextBIrhotextBI=376.730313668OmegaZ_{\\text{BI}} = \\sqrt{P_{\\text{BI}}\\rho_{\\text{BI}}} = 376.730313668\\ \\OmegaZtextBI​=sqrtPtextBI​rhotextBI​=376.730313668Omega and the universal dynamic viscosity etatextBI=5.969times10−31textPacdottexts\\eta_{\\text{BI}} = 5.969 \\times 10^{-31} \\text{ Pa}\\cdot\\text{s}etatextBI​=5.969times10−31textPacdottexts.\\n\\nThe central thesis corrects a profound historical oversight in Zurek’s decoherence theory: standard treatments identify the macroscopic thermal environment (photons, phonons, gas molecules) as the fundamental decoherence bath, yet assume that a qubit placed in a perfect engineered vacuum at absolute zero is truly \"isolated.\" The BI model demonstrates rigorously that the dual-field continuum $\\{P(x^\\mu), \\rho(x^\\mu)\\}$ constitutes an inescapable, universal dissipative environment: no quantum system can be isolated from the very mechanical continuum whose density perturbations are the wave function Psi\\PsiPsi.\\n\\nSpecifically, Psi(mathbfr,t)\\Psi(\\mathbf{r}, t)Psi(mathbfr,t) is reinterpreted as a small-amplitude perturbation deltarho\\delta\\rhodeltarho of the Density Field $\\rho(x^\\mu)$, elastically restored by the Pressure Field $P(x^\\mu)$ according to the constitutive relation deltaP=c2deltarho\\delta P = c^2 \\delta\\rhodeltaP=c2deltarho. We derive the BI vacuum-induced decoherence rate $\\Gamma_\\eta = (\\eta_{\\text{BI}}/P_{\\text{BI}})\\omega_0^2 = 5.285 \\times 10^{-42} \\cdot \\omega_0^2 \\text{ s}^{-1}$, identify the dissipation ratio etatextBI/PtextBI\\eta_{\\text{BI}}/P_{\\text{BI}}etatextBI​/PtextBI​ as the microscopic origin of coherence persistence at low frequencies and of the quantum-to-classical transition at high collective frequencies, re-derive the Casimir effect as geometric screening of PtextBIP_{\\text{BI}}PtextBI​, and propose a $360^\\circ$ hydrodynamic Retinal Shield blueprint for practical qubit isolation. All predictions are framed as falsifiable experimental targets.\\n\\n**Keywords:** Barbu-Ilie vacuum model, dual-field mechanical continuum, Universal Pressure Field, Effective Mass Density Field, quantum decoherence, GKSL Lindblad equation, vacuum viscosity, vacuum impedance, Casimir effect, qubit isolation, hydrodynamic shield, quantum-to-classical transition.\\n\\n---\\n\\n## 1 Introduction and Central Thesis\\nThe modern theory of quantum decoherence, as formulated by Zeh [1], Zurek [2, 3], and Caldeira–Leggett [4], provides a mathematically rigorous account of how quantum superpositions are destroyed by coupling to an external environment. Its crowning achievement — einselection and the emergence of classical pointer states — has been confirmed in experiments spanning molecular interferometry, superconducting circuits, and ion traps [5–8].\\n\\nYet the theory harbours an unacknowledged conceptual gap. When practitioners speak of “isolating” a qubit — cooling it to millikelvin temperatures, placing it in a cryostat, shielding it from electromagnetic radiation — they implicitly assume that the residual environment after all such precautions is negligibly small. The Barbu-Ilie (BI) Hydrodynamic Vacuum Model identifies this assumption as incorrect at a foundational level. The physical vacuum is not an empty geometric background; it is a **dual-field mechanical continuum** defined precisely and measurably by two fields: the **Universal Pressure Field** $P(x^\\mu)$, whose background value PtextBI=1/varepsilon0=1.129409066times1011textPaP_{\\text{BI}} = 1/\\varepsilon_0 = 1.129409066 \\times 10^{11} \\text{ Pa}PtextBI​=1/varepsilon0​=1.129409066times1011textPa is fixed by the CODATA value of the electric permittivity of free space, and the **Effective Mass Density Field** $\\rho(x^\\mu)$, whose background value rhotextBI=mu0=1.25663706212times10−6textkgm−3\\rho_{\\text{BI}} = \\mu_0 = 1.25663706212 \\times 10^{-6} \\text{ kg m}^{-3}rhotextBI​=mu0​=1.25663706212times10−6textkgm−3 is fixed by the magnetic permeability of free space. Both quantities are SI-unit measurables with sub-ppb experimental precision. A quantum system cannot be decoupled from this continuum because the wave function Psi\\PsiPsi is a perturbation of $\\rho(x^\\mu)$ elastically restored by $P(x^\\mu)$. The continuum also carries a non-zero dynamic viscosity etatextBI=5.969times10−31textPacdottexts\\eta_{\\text{BI}} = 5.969 \\times 10^{-31} \\text{ Pa}\\cdot\\text{s}etatextBI​=5.969times10−31textPacdottexts, which generates an inescapable, vacuum-intrinsic decoherence channel.\\n\\nThis paper develops the mathematical consequences of this identification. Section 2 establishes the physical wave equation and the elastic properties of the dual-field vacuum continuum P,rho\\{P, \\rho\\}P,rho. Section 3 maps the GKSL Lindblad dissipators onto the BI viscosity, deriving the explicit BI decoherence rate and its profound omega02\\omega_0^2omega02​ scaling. Section 4 re-derives the Casimir effect as elastic pressure screening. Section 5 proposes the $360^\\circ$ Retinal Shield blueprint. Section 6 collects falsifiable predictions. Section 7 concludes.\\n\\n### Definitive Barbu-Ilie Parameter Matrix (CODATA-aligned)\\n\\n| Symbol | Value | Units | Physical Identity |\\n| :--- | :--- | :--- | :--- |\\n| ccc | 2.99792458times1082.99792458 \\times 10^82.99792458times108 | textms−1\\text{m s}^{-1}textms−1 | Speed of light (specific elasticity) |\\n| c2c^2c2 | 8.98755179times10168.98755179 \\times 10^{16}8.98755179times1016 | textm2texts−2\\text{m}^2 \\text{ s}^{-2}textm2texts−2 | Elastic modulus of vacuum |\\n| varepsilon0\\varepsilon_0varepsilon0​ | 8.8541878128times10−128.8541878128 \\times 10^{-12}8.8541878128times10−12 | textFm−1\\text{F m}^{-1}textFm−1 | Electric compressibility |\\n| mu0\\mu_0mu0​ | 1.25663706212times10−61.25663706212 \\times 10^{-6}1.25663706212times10−6 | textHm−1\\text{H m}^{-1}textHm−1 | Effective magnetic density |\\n| PtextBIP_{\\text{BI}}PtextBI​ | 1.129409066times10111.129409066 \\times 10^{11}1.129409066times1011 | textPa\\text{Pa}textPa | Vacuum pressure =1/varepsilon0= 1/\\varepsilon_0=1/varepsilon0​ |\\n| rhotextBI\\rho_{\\text{BI}}rhotextBI​ | 1.25663706212times10−61.25663706212 \\times 10^{-6}1.25663706212times10−6 | textkgm−3\\text{kg m}^{-3}textkgm−3 | Vacuum mass density =mu0= \\mu_0=mu0​ |\\n| ZtextBIZ_{\\text{BI}}ZtextBI​ | 376.730313668376.730313668376.730313668 | Omega\\OmegaOmega | Wave impedance =cmu0=sqrtPtextBIrhotextBI= c\\mu_0 = \\sqrt{P_{\\text{BI}}\\rho_{\\text{BI}}}=cmu0​=sqrtPtextBI​rhotextBI​ |\\n| etatextBI\\eta_{\\text{BI}}etatextBI​ | 5.969times10−315.969 \\times 10^{-31}5.969times10−31 | textPacdottexts\\text{Pa}\\cdot\\text{s}textPacdottexts | Universal dynamic viscosity |\\n| etatextBI/PtextBI\\eta_{\\text{BI}}/P_{\\text{BI}}etatextBI​/PtextBI​ | 5.285times10−425.285 \\times 10^{-42}5.285times10−42 | texts\\text{s}texts | Fundamental dissipation ratio |\\n\\n---\\n\\n## 2 Physical Wave Propagation and the Elasticity of the Vacuum Medium\\n\\n### 2.1 The Wave Function as a Perturbation of the Dual-Field Vacuum Continuum\\n**Definition 2.1 (Dual-Field Mechanical Continuum of the Vacuum).** The physical vacuum is a mechanical continuum fully characterised by two spatially and temporally varying scalar fields:\\n\\n* **Universal Pressure Field:** $P(x^\\mu)$, with background equilibrium value PtextBIequiv1/varepsilon0=1.129409066times1011textPaP_{\\text{BI}} \\equiv 1/\\varepsilon_0 = 1.129409066 \\times 10^{11} \\text{ Pa}PtextBI​equiv1/varepsilon0​=1.129409066times1011textPa. This field represents the elastic restoring force per unit area of the continuum and is directly identified with the electric compressibility of free space.\\n* **Effective Mass Density Field:** $\\rho(x^\\mu)$, with background equilibrium value rhotextBIequivmu0=1.25663706212times10−6textkgm−3\\rho_{\\text{BI}} \\equiv \\mu_0 = 1.25663706212 \\times 10^{-6} \\text{ kg m}^{-3}rhotextBI​equivmu0​=1.25663706212times10−6textkgm−3. This field represents the inertial density of the continuum and is directly identified with the magnetic permeability of free space.\\n\\nBoth values are CODATA-anchored SI measurables. Their ratio defines the sole propagation speed of disturbances in the continuum:\\nc=sqrtfracPtextBIrhotextBI=sqrtfrac1varepsilon0mu0=2.99792458times108textms−1 c = \\sqrt{\\frac{P_{\\text{BI}}}{\\rho_{\\text{BI}}}} = \\sqrt{\\frac{1}{\\varepsilon_0 \\mu_0}} = 2.99792458 \\times 10^8 \\text{ m s}^{-1} c=sqrtfracPtextBI​rhotextBI​=sqrtfrac1varepsilon0​mu0​=2.99792458times108textms−1\\n\\nIn the Copenhagen and many-worlds formulations, the wave function Psi(mathbfr,t)\\Psi(\\mathbf{r}, t)Psi(mathbfr,t) is a complex-valued object defined on an abstract Hilbert space, acquiring physical meaning only through Born’s probabilistic rule at the moment of measurement. The BI model replaces this ontology with a strictly mechanical one: Psi(mathbfr,t)\\Psi(\\mathbf{r}, t)Psi(mathbfr,t) is a *small-amplitude perturbation of the Effective Mass Density Field*,\\ndeltarho(mathbfr,t)equivrhotextBIPsi(mathbfr,t),quaddeltarhollrhotextBIquad(2.0) \\delta\\rho(\\mathbf{r}, t) \\equiv \\rho_{\\text{BI}} \\Psi(\\mathbf{r}, t), \\quad \\delta\\rho \\ll \\rho_{\\text{BI}} \\quad (2.0) deltarho(mathbfr,t)equivrhotextBI​Psi(mathbfr,t),quaddeltarhollrhotextBI​quad(2.0)\\nelastically restored by the Universal Pressure Field $P(x^\\mu)$ via the isentropic constitutive relation:\\ndeltaP(mathbfr,t)=c2deltarho(mathbfr,t)=c2rhotextBIPsi(mathbfr,t)quad(2.0textb) \\delta P(\\mathbf{r}, t) = c^2 \\delta\\rho(\\mathbf{r}, t) = c^2 \\rho_{\\text{BI}} \\Psi(\\mathbf{r}, t) \\quad (2.0\\text{b}) deltaP(mathbfr,t)=c2deltarho(mathbfr,t)=c2rhotextBI​Psi(mathbfr,t)quad(2.0textb)\\nThe amplitude squared ∣Psi∣2|\\Psi|^2∣Psi∣2 therefore measures the *fractional density variation* of the vacuum continuum at a given spacetime point — a locally measurable mechanical quantity — rather than an abstract probability in the frequentist sense. Non-local quantum correlations are, within this framework, long-range elastic correlations of the Density Field $\\rho(x^\\mu)$ mediated by the Pressure Field $P(x^\\mu)$.\\n\\nThis reinterpretation has three immediate and non-trivial physical consequences. First, Psi\\PsiPsi must satisfy the wave equation of the dual-field continuum (derived in Section 2.2), which yields the standard Schrödinger equation in the non-relativistic limit. Second, any quantum system is intrinsically embedded in the continuum; there is no operational procedure that decouples $\\rho(x^\\mu)$ fluctuations from a system that *is* a structured perturbation of $\\rho(x^\\mu)$. Third, and most importantly for decoherence theory, the non-zero dynamic vis
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.
Abstract Modern physics relies on the assumption that the quantum realm is fundamentally probabilistic, citing phenomena like superposition, tunneling, and entanglement as proof that reality is acausal. This monograph rejects this interpretation in favor of Kish Lattice Determinism. We propose that the universe is not a probabilistic cloud but a precise, high-tension machine governed by the 16/pi Vacuum Substrate. This paper unifies three major quantum paradoxes under a single mechanical constraint: Key Findings: The Pilot Wave (Double Slit): We resolve the "Superposition" paradox via Vacuum Hydrodynamics. The particle is modeled as a "Boat" and the vacuum perturbation as a "Wake." We demonstrate that the particle travels through a single slit while its wake travels through both, creating the interference pattern the particle subsequently surfs. The Observer Effect as Friction: We define observation not as "collapse," but as Lattice Damping. Measurement requires energy input (impact), which stiffens the local vacuum grid, destroying the pilot wave and forcing the particle into ballistic (straight-line) travel.Resonant Permeability (Tunneling): We resolve "Quantum Tunneling" via Resonance. Using the "Spinning Fan" analogy, we prove that particles do not magically pass through barriers; they Phase Lock to the oscillation frequency of the barrier's lattice gaps (16/pi).Geometric Tension (Entanglement): We resolve "Spooky Action at a Distance" via Structural Tension. Entangled particles are connected by a rigid geometric stress line (The Seesaw). Changes in one particle are reflected in the other instantly, not due to faster-than-light signaling, but due to Static Equilibrium. We conclude that "God does not play dice"; the dice are simply loaded by the geometry of space.
Modern theoretical physics interprets quantum entanglement and the quantum erasure phenomenon through the lens of ontological probability, wave-function collapse, or faster-thanlight informational exchange. This study presents a strictly deterministic, classical alternativewithin the framework of the Dynamic Vacuum Theory (DVT). We model the universal spacetime fabric as a physical, non-viscous (µ = 0), and incompressible (∇ · u = 0) superfluidvacuum ocean. Fundamental particles are defined as localized topological vortices—termedArtik-Vortices—governed by the incompressible Euler and Navier-Stokes equations. We provethat quantum entanglement is not an informational transmission across space, but an instantaneous global pressure stabilization requirement dictated by the Artik-Vortex Equilibrium Law( Σ(∇ · Pv)dΩ = 0). Furthermore, the delayed-choice quantum eraser experiment is resolvedmechanically: the extraction or erasure of ”which-way” data represents the injection or damping of localized pressure anomalies within the superfluid, enabling the medium to undergo aself-healing process that restores global wave interference. This framework seamlessly bridgesquantum mechanics and macro-astrophysics, replacing dark matter with hydrodynamic vacuumpressure gradients without violating the relativistic limits of localized wave propagation.