We present a theoretical framework in which quantum wave–particle duality and measurement-induced localization emerge from the dynamics of an extended excitation propagating in a continuous medium. By modeling quantum entities as effectively higher-dimensional or spatially extended oscillatory structures whose observable behavior corresponds to their constrained intersection with three-dimensional space, we reinterpret quantum probability, wavefunction collapse, and the double-slit experiment without modifying the formalism of quantum mechanics. Measurement is described as a dynamical pressure or damping interaction that reduces the observable coherence length of the excitation. Numerical simulations of a double-slit geometry demonstrate continuous transition between wave-like interference and particle-like localization under increasing measurement strength. The model is consistent with standard uncertainty relations and decoherence theory, while providing an intuitive geometric and hydrodynamic interpretation of quantum phenomena.
We present a theoretical framework in which quantum wave–particle duality and measurement-induced localization emerge from the dynamics of an extended excitation propagating in a continuous medium. By modeling quantum entities as effectively higher-dimensional or spatially extended oscillatory structures whose observable behavior corresponds to their constrained intersection with three-dimensional space, we reinterpret quantum probability, wavefunction collapse, and the double-slit experiment without modifying the formalism of quantum mechanics. Measurement is described as a dynamical pressure or damping interaction that reduces the observable coherence length of the excitation. Numerical simulations of a double-slit geometry demonstrate continuous transition between wave-like interference and particle-like localization under increasing measurement strength. The model is consistent with standard uncertainty relations and decoherence theory, while providing an intuitive geometric and hydrodynamic interpretation of quantum phenomena.
This paper proposes a geometric interpretive framework for a set of foundational phenomena in quantum physics, including the measurement problem, quantum entanglement, and the emergence of classical spacetime structure. Building on the dimensional analogy introduced by Abbott (1884), we develop a model in which observed physical events correspond to lower dimensional intersections of higher-dimensional wave-like structures with an observer's accessible domain. Within this picture, a particle detection event is reinterpreted as the intersection of an extended wave with an observer's plane, and measurement outcomes arise from the geometric relationship between the observer's orientation and the underlying structure, rather than from a physical collapse process. In the context of entanglement, we develop a model in whichcorrelated outcomes observed by spatially separated detectors are understood as local samplings of a single wave generated at a common origin event . The dependence of measurement correlations on detector settings is interpreted in terms of angular separation along the shared wave front, yielding an account consistent with the standard quantum prediction P(same) = cos²(θ/2). The proposal does not modify the mathematical formalism of quantum mechanics and does not introduce novel quantitative predictions at this stage. Its contribution is conceptual: it provides a coherent geometric perspective that unifies several interpretive challenges—wave–particle duality, the measurement problem, and apparent non-locality—within a single structuralpicture. Connections to relational quantum mechanics, holographic duality, and the ER = EPR conjecture are identified as indications of structural compatibility. Open questions and possible directions for formalization are outlined.
This paper proposes a geometric ontology for quantum mechanics based on a fourth spatial dimension. Quantum entities are modeled as four-dimensional geometric objects (S), and the observed three-dimensional world is a fixed slice (Σ₃) through this four-dimensional space. The framework interprets wave-particle duality, measurement collapse, EPR entanglement, quantum tunneling, the quantum Zeno effect, and quantum erasure as different manifestations of the same geometric mechanism: the intersection or non-intersection of S with Σ₃. The proposal does not modify the mathematical structures of quantum field theory; it provides a unified geometric picture for phenomena that standard quantum mechanics treats as independent axioms. Open problems and falsification pathways are honestly documented.
This project presents a conceptual reinterpretation of wave–particle phenomena in quantum experiments by introducing a relational-temporal perspective on measurement and event formation. Rather than treating wave-like and particle-like behavior as competing ontological properties of quantum entities, the framework distinguishes between extended relational amplitude structures and localized measurement events. Interference phenomena are interpreted as manifestations of relational structures distributed across spacetime, while particle detections are understood as temporally stabilized events emerging through measurement interactions. By reviewing key experimental paradigms—including double-slit interference, which-path experiments, quantum erasers, weak measurements, and decoherence—the study demonstrates that many apparent paradoxes of quantum mechanics arise from classical assumptions about intrinsic properties and time as an external background parameter. Without modifying the formalism of quantum theory, the relational-temporal interpretation offers a physically conservative framework that reframes wave–particle duality as a distinction between structure and event rather than a dual ontology of physical objects.
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.
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.