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Micro-Lens Theory: A Geometric Analogy Model for Quantum Entanglement and Randomness

Hong Li

Published Jan 1, 2026• 0 citations
Publisher

Abstract

Based on the core logic of physical reductionism, the macroscopic world is composed of microscopic particles, and macroscopic physical laws must necessarily be the apparent continuation of microscopic underlying mechanisms. The human ability to achieve conjugate imaging using glass lenses proves conversely that an intrinsic conjugate imaging mechanism naturally exists in the universe. Aiming at the problems that quantum entanglement, quantum randomness, and wave-particle duality lack intuitive physical pictures, and that there is a cognitive gap between macroscopic optics and microscopic quantum laws, this paper proposes the Micro-Lens Theory: a micro-lens is defined as a cosmic-native geometric structure of conjugate correlation between particles/entities, distinguishing between the cosmic intrinsic conjugate mechanism and the imitative interference mechanism of human-made lenses. The theory proves that quantum entanglement is the entity conjugate effect of intrinsic lenses at the microscopic scale; macroscopic symmetry, duality, and conservation phenomena are the scale continuation of this mechanism, which is non-optical in nature. Quantum randomness originates from the dynamic fluctuation of the correlation structure, and wavefunction collapse corresponds to human interference with the intrinsic mechanism. This paper unifies microscopic quantum entanglement with macroscopic natural conjugate phenomena for the first time, fully explains the essential difference between "entity–entity conjugation"and "virtual image imaging", and provides a new geometric path for the homologous unification of quantum mechanics and classical optics.

DOI
10.6084/m9.figshare.31840069

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Based on the core logic of physical reductionism, the macroscopic world is composed of microscopic particles, and macroscopic physical laws must necessarily be the apparent continuation of microscopic underlying mechanisms. The human ability to achieve conjugate imaging using glass lenses proves conversely that an intrinsic conjugate imaging mechanism naturally exists in the universe. Aiming at the problems that quantum entanglement, quantum randomness, and wave-particle duality lack intuitive physical pictures, and that there is a cognitive gap between macroscopic optics and microscopic quantum laws, this paper proposes the Micro-Lens Theory: a micro-lens is defined as a cosmic-native geometric structure of conjugate correlation between particles/entities, distinguishing between the cosmic intrinsic conjugate mechanism and the imitative interference mechanism of human-made lenses. The theory proves that quantum entanglement is the entity conjugate effect of intrinsic lenses at the microscopic scale; macroscopic symmetry, duality, and conservation phenomena are the scale continuation of this mechanism, which is non-optical in nature. Quantum randomness originates from the dynamic fluctuation of the correlation structure, and wavefunction collapse corresponds to human interference with the intrinsic mechanism. This paper unifies microscopic quantum entanglement with macroscopic natural conjugate phenomena for the first time, fully explains the essential difference between "entity–entity conjugation"and "virtual image imaging", and provides a new geometric path for the homologous unification of quantum mechanics and classical optics.
We present a quantum framework grounded in micro-causality and spacetime quantization, where spacetime is composed of discrete, causally ordered units rather than a continuous manifold. This intrinsic structure naturally generates fundamental quantum features—wave–particle duality, energy quantization, and the Heisenberg uncertainty principle—without invoking canonical quantization, matter-wave postulates, or harmonic-oscillator models. Consequently, this paradigm eliminates the long-standing paradoxes of wavefunction collapse, self-interference, and non-local spooky correlations in entanglement.Within this causal lattice spacetime, quantum commutation relations emerge from finite shift operators, and the uncertainty principle arises geometrically from non-commutativity at the fundamental level. Unlike standard quantum field theory (QFT), which predicts infinite vacuum energy and requires renormalization, the present framework removes zero-point energy, ultraviolet divergences, and fine-tuning. Moreover, U(1) symmetry is broken geometrically on the lattice, leading to mass generation without a Higgs mechanism.The Casimir effect is reinterpreted as a temperature-dependent imbalance in thermal radiation pressure rather than the consequence of vacuum fluctuations, predicting that the Casimir force should vary with ambient temperature. Experimental confirmation of such dependence would directly support the lattice interpretation and challenge the QFT view of vacuum energy.By unifying key quantum behaviors through discrete causal geometry, this model offers a divergence-free and physically grounded alternative to continuum-based QFT. It opens new avenues for quantum unification, cosmology, and the understanding of fundamental constants, without speculative constructs, singularities, or infinities.
Starting from a fundamental assumption whose validity we will establish through reliable scientific data, the Super-Entangled Universe model we ultimately present demonstrates that, similar to quantum entanglement, macroscopic entities are entangled with one another independently of both distance and time. This model reveals that the phenomenon of entanglement, which is absent in classical mechanics but intrinsic to standard quantum mechanics, likewise exists at the cosmic scale. The proposed framework offers a unified approach to understanding both cosmic and quantum phenomena, addressing existing gaps and thereby aiming to go beyond them, that is, to demonstrate the existence of what lies beyond the universe. Our perspective shows that the universe may exist not externally, but solely intrinsically through conscious observation. Such a model provides a novel, complementary, yet unconventional perspective on the nature of the universe. This new outlook, in itself, can also offer simple and natural solutions to the thirteen most fundamental and mysterious questions that theoretical physics still faces today.
Starting from a fundamental assumption whose validity we will establish through reliable scientific data, the Super-Entangled Universe model we ultimately present demonstrates that, similar to quantum entanglement, macroscopic entities are entangled with one another independently of both distance and time. This model reveals that the phenomenon of entanglement, which is absent in classical mechanics but intrinsic to standard quantum mechanics, likewise exists at the cosmic scale. The proposed framework offers a unified approach to understanding both cosmic and quantum phenomena, addressing existing gaps and thereby aiming to go beyond them, that is, to demonstrate the existence of what lies beyond the universe. Our perspective shows that the universe may exist not externally, but solely intrinsically through conscious observation. Such a model provides a novel, complementary, yet unconventional perspective on the nature of the universe. This new outlook, in itself, can also offer simple and natural solutions to the eleven most fundamental and mysterious questions that theoretical physics still faces today.
We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More concretely, we propose that quantum particles interact with ordinary matter, nuclei, atoms, molecules, macroscopic material entities, measuring apparatuses,..., in a similar way to how human concepts interact with memory structures, human minds or artificial memories. We analyze the most characteristic aspects of quantum theory, i.e. entanglement and non-locality, interference and superposition, identity and individuality in the light of this new interpretation, and we put forward a specific explanation and understanding of these aspects. The basic hypothesis of our framework gives rise in a natural way to a Heisenberg uncertainty principle which introduces an understanding of the general situation of ‘the one and the many ’ in quantum physics. A specific view on macro and micro different from the common one follows from the basic hypothesis and leads to an analysis of Schrödinger’s Cat paradox and the measurement problem different from the existing ones. We reflect about the influence of this new quantum interpretation and explanatory framework on the global nature and evolutionary aspects of the world and human worldviews, and point out potential explanations for specific situations, such as the generation problem in particle physics, the confinement of quarks and the existence of dark matter. 1
Starting from a fundamental assumption whose validity we will establish through reliable scientific data, the Super-Entangled Universe model we ultimately present demonstrates that, similar to quantum entanglement, macroscopic entities are entangled with one another independently of both distance and time. This model reveals that the phenomenon of entanglement, which is absent in classical mechanics but intrinsic to standard quantum mechanics, likewise exists at the cosmic scale. The proposed framework offers a unified approach to understanding both cosmic and quantum phenomena, addressing existing gaps and thereby aiming to go beyond them, that is, to demonstrate the existence of what lies beyond the universe. Our perspective shows that the universe may exist not externally, but solely intrinsically through conscious observation. Such a model provides a novel, complementary, yet unconventional perspective on the nature of the universe. This new outlook, in itself, can also offer simple and natural solutions to the eleven most fundamental and mysterious questions that theoretical physics still faces today.
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。