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Research on Microscopic Mechanism of Photoelectric Effect Based on Photon Figure-Eight Topological Standing Wave Model

ShenQuan ShenQuan

Published Jul 3, 2026• 0 citations
Publisher

Abstract

Based on the photon topological origin system established in the publicly archived general outline literature (DOI: 10.5281/zenodo.20845911) and the model framework of the previous two papers in this series (Quantum Transition, Quantum Tunneling), this paper constructs the microscopic mechanism of the photoelectric effect entirely within the three-dimensional physical framework. The photoelectric effect is not a particle process of photons "hitting" electrons, but a process of energy coupling and topological dissociation between continuous light waves and the figure-eight topological closed-loop structures of electrons at metal surfaces. Light waves arrive at the metal surface as continuous wave fields and resonantly couple with the electron's figure-eight closed-loop standing waves. Only when the light wave frequency satisfies the resonance condition of the closed-loop standing wave can the integral unit of energy be absorbed, increasing the electron's superposed amplitude to the emission threshold. When the superposed amplitude reaches the energy threshold corresponding to the work function, the topological closed loop partially dissociates, and the electron escapes the metal surface binding. This paper continues the "base amplitude and superposed amplitude" framework from the previous papers: electrons change only their superposed amplitude and equivalent energy upon absorbing light wave energy; the closed-loop ontology remains intact before emission. After emission, electrons continue to move as free particles. This model provides a complete physical interpretation of the photoelectric effect from the perspective of internal topological structure, without introducing particle models of "photon-electron collisions" or abstract probability interpretations. 中文摘要 本文依托已公开存档的体系总纲文献(DOI:10.5281/zenodo.20845911)所建立的光子拓扑本源体系,以及系列专题前两篇(量子跃迁、量子隧穿)的模型设定,在纯三维物理框架内构建光电效应的微观机制。 光电效应不是光波"撞击"电子的粒子过程,而是连续光波与金属表面电子八字扭结闭环之间的能量耦合与拓扑解离过程。光波以连续波动场的形式抵达金属表面,与电子八字扭结闭环驻波发生共振耦合;只有当光波频率满足闭环驻波的共振条件时,整份能量才能被吸收,使电子叠加振幅增大至逸出阈值;当叠加振幅达到逸出功对应的能量阈值后,电子拓扑闭环发生部分解离,脱离金属表面束缚。 本文延续前两篇的"基底振幅与叠加振幅"二分框架:电子吸收光波能量后仅改变叠加振幅与等效能量,闭环本体结构在逸出前保持完整;逸出后电子以自由行波形态继续运动。全程采用三维直观物理图像,不引入"光波-电子碰撞"的粒子模型或抽象概率诠释,从电子内部拓扑结构层面给出光电效应的完整物理解释。 关键词: 光电效应;八字扭结;驻波;共振吸收;逸出功;拓扑解离;连续光波

DOI
10.5281/zenodo.21159982

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Abstract Based on the photon topological origin system established in the publicly archived general outline literature (DOI: 10.5281/zenodo.20757086) and the model framework of the first special topic paper in this series, Research on Quantum Transition Mechanism Based on Photon Figure-Eight Topological Structure (DOI: 10.5281/zenodo.20769730), this paper constructs the microscopic mechanism of quantum tunneling entirely within the three-dimensional physical framework. Under the core assumption that an electron is a self-closed figure-eight topological standing wave structure formed by coiled photons, this paper defines a potential barrier as a localized region of external potential energy field that causes compression and distortion of the electron’s figure-eight standing wave. When the total electron energy is below the classical barrier height, the standing wave undergoes temporary topological distortion within the barrier region, with wavefunction edges penetrating outward and forming a weak tail on the other side. When the phase of this penetrating tail satisfies weak coupling conditions with the standing wave outside the barrier, the entire topological closed loop completes spatial displacement through waveform penetration, without needing to surmount the barrier. This paper adopts the same “base amplitude and superposed amplitude” framework as the first paper: during tunneling, the total circumference and base amplitude of the electron’s figure-eight closed loop remain unchanged, and rest mass remains constant; only the spatial distribution of the standing wave changes temporarily. This model provides a complete physical interpretation of tunneling from the perspective of internal particle topological standing wave, without introducing abstract probability interpretations or complex high-dimensional assumptions. 摘要 本文依托已公开存档的体系总纲文献(DOI:10.5281/zenodo.20757086)所建立的光子拓扑本源体系,以及系列专题首篇《基于光子八字拓扑结构的量子跃迁机制研究》(DOI:10.5281/zenodo.20769730)的模型设定,在纯三维物理框架内构建量子隧穿的微观机制。 基于 “电子为光子自缠绕形成的八字闭环驻波拓扑结构” 这一核心设定,本文将势垒定义为对电子八字驻波产生局域挤压的外部势能场区域。当电子总能量低于势垒经典高度时,电子八字驻波在势垒区发生临时拓扑畸变,波函数边缘向外渗透,在势垒另一侧形成微弱波尾;当渗透波尾与势垒外侧的驻波相位满足弱耦合条件时,整个拓扑闭环通过波形渗透完成空间平移,无需整体翻越势垒。 本文延续首篇的 “基底振幅与叠加振幅” 二分框架:隧穿过程中电子八字闭环总周长、基底振幅不变,静质量保持恒定;临时变化的仅为驻波空间分布形态。全程采用三维直观物理图像,不引入抽象概率诠释或复杂高维假设,跳出传统波函数概率化的数学描述,从电子内部拓扑驻波结构层面给出隧穿完整的物理成因。 关键词: 量子隧穿;八字拓扑;驻波;势垒畸变;波形渗透;弱耦合
The photoelectric effect is the entry point into a geometric restatement of all of quantum mechanics. In the One-Octonion Brane-Bulk Framework: (1) The electron is a standing wave in the Fano lattice — a focal zone that oscillates without propagating. (2) The photon transfers energy by deepening this focal zone, increasing the electron's rest mass by δm = hν/c² before ejection. (3) Ejection occurs when the deepened focal zone exceeds the metal lattice's binding capacity φ — not from a direct photon kick. (4) Frequency selectivity arises because the lattice responds to energy per node-handoff (hν), not total handoff count. This is Prediction P189. More profoundly: a discrete lattice permits only those standing wave modes that fit its node geometry. This means only quantized modes are possible. This is not a postulate — it is a geometric consequence of lattice discreteness. All four pillars of quantum mechanics — Bohr's quantization condition, de Broglie's relation, Schrödinger's energy levels, and Einstein's photoelectric threshold — are projections of this single fact. Mass quantization follows immediately: since mass = focal deceleration = standing wave depth, and only discrete standing wave modes exist, only discrete masses are possible. This is Prediction P190. Quantization is not surprising. It is unavoidable for any standing wave on a discrete lattice. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.
Quantum entanglement is the most fundamental unsolved problem in quantum physics. Traditional quantum mechanics can describe entanglement mathematically, but lacks physical carrier, dimensional origin, and intuitive microscopic mechanism, and cannot reconcile nonlocal correlation with the speed of light limit. Based on the self-established chaotic dual-divide axiom system, this study adheres to the hierarchical principle: explain phenomena in three dimensions whenever possible, and resort to high-dimensional ontology only when 3D logic fails. Quantum transition, quantum tunneling, and the photoelectric effect are purely 3D behaviors, while quantum entanglement can only be explained by high-dimensional projection topology. This paper establishes three hierarchical definitions of light: original high-dimensional light, primary projected light, and secondary artificial light. It proposes that cosmic dimensional degradation strictly follows the 2ⁿ dual binary iteration rule, in which all dimensional degrees of freedom exist in symmetric pairs without unidirectional isolation. Quantum entanglement is not superluminal signal transmission in 3D space, but the residual phase correlation of high-dimensional binary topological structures after being projected and spatially divided in three dimensions. The non-fallen high-dimensional original light serves only as the continuous topological substrate and does not produce entanglement directly. Primary light naturally carries connected topological links, while secondary light can regain entanglement by artificially reconstructing binary symmetric structures. This model strictly maintains compatibility with special relativity: all 3D energy and information transmission obeys the speed limit, while entanglement synchronization belongs purely to high-dimensional holistic topological adjustment, requiring no 3D carrier propagation. 中文摘要 量子纠缠的非局域瞬时关联,是百年来量子力学最核心的本源疑难问题。现有理论可通过密度矩阵、贝尔不等式对纠缠现象进行数学描述,但始终缺失物理载体、成因机制、维度根源的物理解释,无法自洽解答超距同步与相对论光速约束的兼容问题。 本系列研究依托自建混沌二分本源公理体系,坚持「能三维则三维,三维无解再溯源高维」的层级研究原则:量子跃迁、量子隧穿、光电效应为纯三维电子驻波行为,无需高维假设;而量子纠缠属于三维局域框架无法解释的拓扑关联现象,必须回溯高维投影机制完成闭环解释。 本文建立体系独有三层光层级定义:本源光、一手光、二手光,严格区分高维基底介质与三维可投影粒子波动;同时确立高维降维核心规则:宇宙维度跌落遵循 2ⁿ 对偶二分迭代规律,所有维度自由度天然成对对称,无孤立单向分量。 研究表明:量子纠缠并非三维空间的超光速信号传递,而是高维同源二分拓扑结构经三维投影切开后,残留的原生相位关联。未跌落的全域高维本源光仅作为公共拓扑基底,不直接产生纠缠;发生二分投影的一手光天然携带高维连通链路,具备原生纠缠属性;三维人工二手光可通过复刻一分二对称拓扑结构,重新复现纠缠效应。 本文严格区分维度层级与物理作用边界:三维能量、粒子、信息传播严格遵守光速限制,纠缠仅为高维拓扑本体的整体同步重构,无三维载体跨空间传输,与狭义相对论完全自洽。最终完成「总纲本源—三维量子行为—非局域拓扑关联」的全域物理体系闭环。 关键词: 量子纠缠;八字扭结驻波;高维投影;二分迭代;三层光;非局域关联;退相干
The hydrogen Lyman series and the photoelectric effect are traditionally interpreted asseparate physical phenomena. Hydrogen ionization is explained through quantumelectronic energy levels, whereas the photoelectric effect is explained by photonabsorption exceeding the work function of a metal. Although mathematically successful,these explanations assign different physical mechanisms to what may represent similarthreshold events.Assuming Space-Phase (SP3) theory is reality, this paper proposes that both phenomenaare manifestations of one underlying mechanism involving the progressive conditioning ofspace-phase surrounding an electron. In both systems, incoming electromagnetic energyreorganizes the local space-phase resonance. Below a critical threshold the resonanceremains stable and energy is re-emitted. At a critical threshold the resonance envelope canno longer remain closed, forcing release of the electron.Within this interpretation, hydrogen ionization at the Lyman limit and electron emissionduring the photoelectric effect become two examples of the same universal resonancethreshold process operating in different physical environments.
Quantum field theory describes the particle nature of electromagnetic radiation using the "photon," but has never explained why a fundamental particle exhibits such perfect wave behavior. This paper provides a complete alternative explanation: the photoelectric effect, Compton scattering, and antibunching experiments — landmark experiments considered proof of photon particle nature — require no photon concept. Quantization is not a property of light itself, but of the discrete energy level structure governing how bound electrons emit and absorb energy. Light remains a continuous transverse wave; discreteness results from electrons as "prisoners" in atomic "cages" that can only transition between specific energy steps. Waves propagate continuously and are emitted and absorbed in quantized form — the photon is not a particle, but the name of an energy-exchange event.
Three foundational phenomena of quantum mechanics are unied under two complementary concepts derived from the brane-bulk framework. (1) Electron orbital shapes arise from eigenvalue interference: the self-interference of the spin waveform as the electron wraps around a nucleus, generating the characteristic nodal patterns of s, p, d, f orbitals as standing waves of the angular harmonic modes (Paper VIII). (2) Compton scattering is mode transfer: a photon (radial wave mode, Paper VI) collides with an electron (angular wave mode, Paper VIII), transferring momentum between modes. The Compton wavelength λ_C = ℏ/m_e c is the spatial period of the electron spin-1/2 oscillation the length over which one full spin cycle occurs. (3) The photoelectric eect is threshold resonance: a photon must have energy E = hν ≥ϕ (work function) to excite the electron from its standing wave eigenstate into a free propagating mode. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.