We propose that three canonical quantum experiments — Stern-Gerlach, double-slit, and entanglement — receive straightforward mechanical explanations from a single physical postulate: fields and matter interact literally with a discrete elastic tetrahedral Mesh that constitutes spacetime at the Planck scale. No observer, no collapse, no spooky action. The Stern-Gerlach splitting emerges from the impedance landscape created by the magnetic field interacting with the FCC lattice symmetry of the Mesh. The double-slit interference pattern disappears when a detector modifies the local impedance, physically blocking one channel. Entanglement decoherence arises from six identifiable sources: environmental noise, metric distance, topological complexity along the line of sight, global curvature, cosmic expansion, and knot lifetime. A falsifiable directional prediction is proposed: entanglement should decay faster along lines of sight traversing WCI-rich regions (galactic filaments) than through cosmic voids. This paper provides the physical picture; the mathematical formalization is developed in the companion work "The Breathing Universe: A Torsional Solid Machine". This work is an extension of "Quantum Mechanics: the Interpretation of Barcelona.
We propose that three canonical quantum experiments — Stern-Gerlach, double-slit, and entanglement — receive straightforward mechanical explanations from a single physical postulate: fields and matter interact literally with a discrete elastic tetrahedral Mesh that constitutes spacetime at the Planck scale. No observer, no collapse, no spooky action. The Stern-Gerlach splitting emerges from the impedance landscape created by the magnetic field interacting with the FCC lattice symmetry of the Mesh. The double-slit interference pattern disappears when a detector modifies the local impedance, physically blocking one channel. Entanglement decoherence arises from six identifiable sources: environmental noise, metric distance, topological complexity along the line of sight, global curvature, cosmic expansion, and knot lifetime. A falsifiable directional prediction is proposed: entanglement should decay faster along lines of sight traversing WCI-rich regions (galactic filaments) than through cosmic voids. This paper provides the physical picture; the mathematical formalization is developed in the companion work "The Breathing Universe: A Torsional Solid Machine". This work is an extension of "Quantum Mechanics: the Interpretation of Barcelona.
We present a new paradigm of quantum reality in which classical particles interact deterministically with quantized electromagnetic fields embedded in a causal lattice spacetime. These interactions induce discrete momentum transfers that account for the dot-like buildup of double-slit interference fringes, the bi-fringe outcomes of the Stern–Gerlach experiment, and the correlations observed in entanglement tests. Within this framework, which provides a non-local hidden variable mechanism, naturally leads to the emergence of Heisenberg uncertainty, de Broglie duality, and the Dirac equation as natural consequences of causal field dynamics, rather than as postulated axioms. The model further provides experimentally testable predictions—including momentum-transfer sidebands and the temperature dependence of the Casimir force—that distinguish it from both the Copenhagen interpretation and more recent alternatives. By grounding quantum phenomena in causal field–particle interactions, this paradigm reproduces the experimental dot-like features in double-slit interference and Stern-Gerlach fringes. Thus, it offers a transparent and physically consistent alternative to the Copenhagen interpretation, achieving the completeness that Einstein argued was missing from conventional theory.
Title: Quantum Mechanics: The Interpretation of Barcelona Description: For a century, the Copenhagen interpretation has taught us that quantum mechanics is fundamentally probabilistic, that the wavefunction collapses upon measurement, and that there is no reality independent of observation. Einstein rejected this: "God does not play dice." This preprint presents a concrete, testable alternative: the Cosmic Mesh — a discrete, elastic, fractal tetrahedral lattice that constitutes spacetime itself. From this single physical substrate we recover all quantum phenomena without probability, without collapse, and without action at a distance: The wavefunction is a real vibration in the Mesh. Entanglement is the same vibration extended across space. Measurement is a local interaction that does not create reality; it only reveals it. Particles are standing waves trapped in topological knots; light is free vibration. We derive a single deterministic rule that governs all motion: At each discrete time step, a vibration migrates to the neighboring tetrahedron that maximizes the local entanglement gradient (Sk−Si). The fine-structure constant emerges geometrically as: α−1=135+2πϕ5≈137.034 where 135 is the ideal torsional-to-volumetric ratio emerging from the geometry of the tetrahedral lattice (90° + 45°), and 2πϕ/5 is the residual torsional stress from 120º cracks and fractal inheritance (golden ratio ϕ). The Mesh is local, deterministic, and testable. We predict that quantum entanglement decays with distance beyond a fundamental coherence length — a direct, falsifiable test of the Copenhagen interpretation. This concise summary is based on the full framework developed in "THE BREATHING UNIVERSE: A Torsional Solid Machine" (Zenodo, 2026). For complete mathematical derivations, including the mechanical origin of lepton masses and the emergence of general relativity, see that work. Keywords: quantum foundations, emergent quantum mechanics, discrete spacetime, topological defects, entanglement, Bell inequalities, Copenhagen interpretation, deterministic quantum theory, elastic lattice, tetrahedral mesh, Weyl curvature imprints, dark matter, cosmological constant, fine-structure constant, golden ratio License: Creative Commons Attribution 4.0 International (CC BY 4.0) Related works: Bertran, A. (2026). THE BREATHING UNIVERSE: A Torsional Solid Machine. Zenodo. Bertran, A., Jussà, E., Vila, M. (2025). The Universe's Geometric Inertia – The Jussà-Vila Ansatz. Zenodo.
Abstract We present a new quantum reality paradigm in which classical particles interact deterministically with quantized electromagnetic fields embedded in a causal lattice spacetime. This interaction induces discrete momentum transfers that account for the dot-like buildup of double-slit interference fringes, the bifringes of Stern–Gerlach spin separation, and the correlations observed in entanglement experiments. In this framework, Heisenberg uncertainty, de Broglie duality, and even the Dirac equation emerge as consequences of causal and quantized field dynamics, rather than as postulated axioms. The model provides experimentally testable predictions such as momentum-transfer sidebands and Casimir force temperature dependence, distinguishing it from both the Copenhagen interpretation and recent alternative proposals. By grounding quantum phenomena in causal field–particle interactions, this paradigm offers a transparent and physically consistent alternative to the Copenhagen interpretation—fulfilling the completeness that Einstein believed the conventional theory lacked.
The double-slit interference experiment remains one of the most puzzling phenomena in quantum mechanics. Standard quantum mechanics explains it through wave-particle duality, superposition, and wavefunction collapse—all mathematical postulates without physical mechanisms. Within the Huaxia Spacetime Total Conservation Theory (H-SET), the electron is not a point particle but a helical dislocation loop in the space medium with spatial extension determined by the space quantum coherence scale. Interference arises because the elastic field of a single electron loop simultaneously covers both slits, and the two emergent elastic waves interfere on the screen. The effective de Broglie wavelength is derived as the geometric extension of the dislocation loop in the momentum direction, yielding identical numerical values to standard quantum mechanics but with a physical origin. Observation-induced disappearance of interference is explained as the destruction of elastic boundary conditions at the slits by the macroscopic elastic field of the detector, not by mysterious wavefunction collapse. Three testable predictions are provided: precise fringe spacing for fullerene (C₆₀) interference, the quantitative relationship between path distinguishability and fringe visibility, and the mass limit for macromolecular interference.
Description: This study provides a testable geometric origin explanation for wave-particle duality in quantum mechanics, starting from first principles of discrete geometry. Core Scientific Question While the mathematical formalism of quantum mechanics can precisely predict experimental phenomena such as double-slit interference, the physical origin of wave-particle duality itself has long been treated as a fundamental axiom, lacking deeper explanation. This work attempts to answer: Could quantum phenomena arise from the collective statistical behavior of more fundamental discrete geometric structures? Theoretical Framework Based on a recently developed discrete geometry framework, we regard continuous spacetime as emerging from the topological gluing and recursive folding of Cantor sets. This geometric construction naturally leads to defect structures carrying intrinsic degrees of freedom, whose statistical fluctuations manifest as random noise accompanying the geometric phase field. The two-point correlation of the noise characterizes thermalization information, while higher-order correlations carry non-Gaussian information and long-term memory. Core Predictions For the double-slit interference experiment, we derive a coherence evolution formula and make three directly testable predictions: First, even under strong which-path measurement, interference fringes will exhibit residual visibility due to contributions from higher-order noise correlations, with magnitude between one-thousandth and one-hundredth. This stands in sharp contrast to the complete disappearance predicted by standard decoherence theory. Second, the decoherence process exhibits biexponential behavior, with fast and slow time scales whose ratio ranges from one hundred to one thousand. Third, path information and interference visibility satisfy a specific conservation relation, reflecting the intrinsic constraints on information transformation in discrete geometry. Experimental Proposal We propose a quantum optics experiment using squeezed light to test these predictions. The scheme employs nano-fabricated double slits and single-photon sources with tunable statistical properties, directly verifying the physical effects of higher-order correlations by comparing interference visibility differences between squeezed and coherent light sources. Current single-photon source technology already possesses the capability to resolve the required precision. Scientific Significance If the predictions are confirmed, this would for the first time experimentally establish quantum phenomena as collective statistical manifestations of discrete geometric structures, providing a geometric origin explanation for the Heisenberg uncertainty principle and an objective, consciousness-free mechanism for wavefunction collapse. Furthermore, this would provide tabletop experimental evidence for Planck-scale spacetime discreteness, building a bridge between quantum foundations and cosmological information research. If falsified, this would constrain microscopic parameters in the theory, pushing the model toward more complex colored noise generalizations. 描述: 本研究从离散几何的第一原理出发,为量子力学中的波粒二象性提供了一个可检验的几何起源解释。 核心科学问题 量子力学的数学形式主义能够精确预测双缝干涉等实验现象,但波粒二象性本身的物理起源长期被视为基本公理,缺乏更深层次的解释。本工作试图回答:量子现象是否可能源于更基本的离散几何结构的集体统计行为? 理论框架 基于近期发展的离散几何框架,我们将连续时空视为从康托尔集的拓扑粘合与递归折叠中涌现的结果。这一几何构建自然导出了带有内禀自由度的缺陷结构,其统计涨落表现为伴随几何相场的随机噪声。噪声的两点关联刻画热化信息,而高阶关联则携带非高斯信息和长期记忆。 核心预言 针对双缝干涉实验,我们推导了相干度演化公式,并作出三个可直接检验的预言: 第一,即使在强路径测量下,由于噪声高阶关联的贡献,干涉条纹仍将存在残余可见度,其量级在千分之一到百分之一之间。这与标准退相干理论预言的完全消失形成鲜明对比。 第二,退相干过程呈现双指数行为,存在快慢两个时间尺度,其比值在百倍到千倍之间。 第三,路径信息与干涉可见度满足特定的守恒关系,反映了离散几何中信息转化的内在约束。 实验方案 我们提出了一个基于压缩态光的量子光学实验方案来检验上述预言。该方案利用纳米加工双缝和可调统计性质的单光子源,通过比较压缩态与相干态光源的干涉可见度差异,直接验证高阶关联的物理效应。当前单光子源技术已具备分辨所需精度的能力。 科学意义 若预言被证实,将首次从实验上确立量子现象是离散几何结构的集体统计表现,为海森堡不确定性原理提供几何起源解释,并为波函数坍缩提供无需意识的客观机制。同时,这将为普朗克尺度的时空离散性提供桌面实验证据,架起量子基础与宇宙学信息研究的桥梁。若被证伪,则将约束理论中的微观参数,推动模型向更复杂的有色噪声方向拓展。
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.