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On the Real Mechanism of Three-Dimensional Omnidirectional Vibration of Microscopic Particles and the Essential Deviation of Macroscopic Wavelength Measurement

Jiaqing Yan

Published May 30, 2026• 0 citations
Publisher

Abstract

Current classical wave theory and quantum physics systems usually simplify the wave behavior of microscopic particles such as photons, electrons, and protons into reciprocating vibrations in a two-dimensional plane, and define the standard wavelength and wave period by the extreme distance between wave crests and troughs along the propagation direction (X-direction). This study proposes that microscopic particles are not limited to vibration in a single plane, but continuously exhibit the characteristics of 360° spatial three-dimensional omnidirectional micro-vibration during propagation. Each vibration of a particle in an inclined direction has its corresponding wave crest and trough, but the projection of such extreme values in the propagation X-direction is too small to be recognized as an effective measurement extreme. A particle needs to undergo tens of thousands of alternating vibrations in three-dimensional directions before a vibration direction exactly perpendicular to the X-propagation direction appears, forming a recognizable real wave crest and trough in the X-direction. The traditional wave model only selects the extreme values in the X-direction to determine the wavelength, ignoring the vibration patterns in other directions, which is a macroscopic equivalent approximation and cannot fully reflect the real state of microscopic particle motion. This study further discusses the ability of this model to explain typical microscopic phenomena such as electron diffraction and particle scattering, providing a new theoretical perspective for in-depth understanding of the wave mechanism of microscopic particles.

DOI
10.5281/zenodo.20453602

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Current classical wave theory and quantum physics systems usually simplify the wave behavior of microscopic particles such as photons, electrons, and protons into reciprocating vibrations in a two-dimensional plane, and define the standard wavelength and wave period by the extreme distance between wave crests and troughs along the propagation direction (X-direction). This study proposes that microscopic particles are not limited to vibration in a single plane, but continuously exhibit the characteristics of 360° spatial three-dimensional omnidirectional micro-vibration during propagation. Each vibration of a particle in an inclined direction has its corresponding wave crest and trough, but the projection of such extreme values in the propagation X-direction is too small to be recognized as an effective measurement extreme. A particle needs to undergo tens of thousands of alternating vibrations in three-dimensional directions before a vibration direction exactly perpendicular to the X-propagation direction appears, forming a recognizable real wave crest and trough in the X-direction. The traditional wave model only selects the extreme values in the X-direction to determine the wavelength, ignoring the vibration patterns in other directions, which is a macroscopic equivalent approximation and cannot fully reflect the real state of microscopic particle motion. This study further discusses the ability of this model to explain typical microscopic phenomena such as electron diffraction and particle scattering, providing a new theoretical perspective for in-depth understanding of the wave mechanism of microscopic particles.
Traditional quantum mechanics explains single-slit diffraction and double-slit interference based on wave-particle duality, claiming that photons possess both particle and wave properties and can self-interfere to form alternating light and dark fringes. This paper puts forward a new theory: photons travel in straight lines. Upon generation, each photon has a fixed transverse vibration direction that maintains a constant angle relative to its propagation axis. A single photon never undergoes random 360° omnidirectional vibration. The omnidirectional vibration observed in natural light is a macroscopic effect formed by the superposition of massive photons each carrying their own unique fixed vibration angles. The fringes observed in single-slit and double-slit experiments are macroscopic patterns formed by geometric amplification and statistical superposition of numerous photon trajectories. These trajectories are deflected and scattered when photons collide with slit walls due to their fixed-angle vibration. No fringes appear without baffles, nor when slits are excessively wide to avoid photon-wall collisions; fringes only emerge when slits are narrow enough to allow photons to collide with wall surfaces. When photons collide with atoms on slit walls, electrons absorb photon energy to jump to higher energy levels and release secondary light during energy-level transitions back to lower states. Superposition of secondary light rays traveling in different directions generates light and dark fringes. This paper retains the carbon nanotube light absorption/non-absorption control experiment and the receiving screen distance variation verification experiment, and adds three new groups of comparative experiments: front polarizer control experiment, gradient wall thickness slit control experiment, and multi-stage polarizer experiment for measuring photon vibration range. Multiple experiments form a complete logical closed loop. At present, there are no publicly available precise quantitative values for the amplitude of photon transverse vibration, and only the approximate variation range can be measured through optical path devices. Multiple experimental observations indicate that interpretations relying on wave-particle duality are untenable.
The framework of classical physics encompasses the well-established and complete Helmholtz wave equation. Capable of accurately describing the propagation, interference and diffraction of steady-state harmonic waves such as acoustic and electromagnetic waves at the macroscopic scale, this equation has been validated by centuries of experiments and is widely recognized as a definitive formula in fundamental physics. Nevertheless, conventional physics has long imposed a rigid scope of application. The academic community has always adopted one-dimensional real scalar coordinates for the Helmholtz equation, limiting its use to macroscopic material wave fields, while never attempting to apply it to the microscopic quantum realm or the underlying ontological structure of the universe. Meanwhile, starting from the microscopic mathematical characteristics, Heisenberg’s matrix mechanics derives the uncertainty principle based on the non-commutation relation of matrices. It directly proves that microscopic mechanical quantities cannot be fully represented by real scalars, and that the microscopic universe is inherently governed by matrix-dimensional structures. This is the fundamental reason why numerous paradoxes persist within quantum mechanics under the framework of real coordinates. Addressing the dual limitations of existing physical theories, this paper presents original research. While fully retaining the differential operators, wave constraints and steady-state solution rules of the classical Helmholtz equation, and introducing no new physical constants or artificial auxiliary hypotheses, this work merely replaces the real spatial coordinates X and Y in the equation with second-order two-dimensional linear matrix coordinates. On this basis, a novel theoretical system of two-dimensional linear waves tailored for the microscopic ontology of the universe is independently established. To clarify: classical physics only adopts the Helmholtz wave with real coordinates to interpret macroscopic wave motions. By contrast, the Helmholtz wave model built upon two-dimensional linear matrix coordinates is an exclusive original theory proposed in this paper. It forms a brand-new independent classical system for depicting the true microscopic essence of the universe. Employing rigorously verified classical mathematical and physical tools, including the classical Helmholtz wave principle, Heisenberg’s matrix mechanics, the uncertainty principle, the linear projection theorem and the wave field superposition principle, this paper systematically elaborates the mathematical structure, dimensional properties and evolutionary laws of two-dimensional linear waves. It further reveals the ultimate physical nature of quantum measurement collapse. All substances in the microscopic world exist inherently as two-dimensional linear Helmholtz waves. Human macroscopic perception and detection devices can only process one-dimensional real-valued information. Essentially, the act of observation is not the random collapse of the wave function as defined in standard quantum mechanics. Instead, the observing system actively extracts one degree of freedom from the two-dimensional matrix wave. The remaining single dimension undergoes dimensionality reduction and projection onto the one-dimensional real physical space, giving rise to the apparent phenomenon of localized particles. This original theory explains two core experimental puzzles that have perplexed quantum physics for a century, without logical contradictions or ad hoc supplements. First, continuous observation of the interference pattern in the double-slit experiment collects global steady-state information of the superimposed two-dimensional waves, and no dimensional extraction occurs, so no collapse takes place. Second, when a single photon reaches the human retina or a single-point detector conducts fixed-position detection, the observing system imposes localized boundary conditions to forcibly extract dimensions from the wave field. This projects the two-dimensional wave onto the one-dimensional physical space, which manifests macroscopically as wave function collapse. This research breaks down the barrier between macroscopic classical waves and microscopic quantum phenomena. The proposed original classical model provides a unified interpretation of microscopic effects including wave-particle duality and quantum measurement collapse, offering a new fundamental perspective for the research on the grand unification of fundamental physics.
The traditional theory of wave-particle duality holds that microscopic particles are both particles and waves. This view arises from the limitations of early experimental techniques, which equate the statistical wave behavior of a large number of particles directly with the essential properties of a single particle, leading to problems such as logical inconsistency and vague physical picture. Based on modern single-particle emission experiments and basic physical logic, this paper proposes a new explanation: the essential nature of microscopic particles is always particle, not wave; the observed wave property originates from the inherent, continuous, and omnidirectional tiny vibration of particles themselves, which is an external manifestation of particle motion rather than an intrinsic attribute. The strength of a particle’s wave property is closely related to its mass: the smaller the mass, the more significant the vibration and the stronger the wave property; the larger the mass, the weaker the vibration and the less obvious the wave property. Wave-like phenomena such as double-slit interference are the statistical distribution results of landing positions caused by the inherent vibration of numerous particles. This paper reconstructs the physical essence of wave-particle phenomena with concise and self-consistent logic, providing a more intuitive and unified new idea for understanding the microscopic world.
Since the establishment of modern optics, the physical nature of light has been debated for centuries, which finally led to the mainstream theory of waveparticle duality. This theory holds that photons intrinsically possess both particle and wave properties, and it is adopted to interpret diverse optical phenomena including rectilinear propagation, polarization, interference and diffraction, forming the fundamental framework of modern quantum optics. Nevertheless, the theory of waveparticle duality contains inherent logical defects. Its essential flaw lies in confusing two completely distinct physical concepts: the intrinsic properties of a substance itself and the morphological features of its motion trajectory. Conventional theories mistake the apparent waveshaped trajectory produced by particle motion for the intrinsic wave property of microparticles, resulting in persistent conceptual ambiguity, missing physical mechanisms and logical inconsistencies within microoptics. This paper constructs an optical underlying model from a purely particle perspective to clarify the real mechanism behind waveparticle phenomena of light. A photon is an indivisible, nonspreading, nontrailing pointlike physical particle with no intrinsic wave property. While propagating, a photon travels along a fixed straightline direction and undergoes inherent transverse oscillation within the plane perpendicular to its propagation direction. At the moment of its generation, a photon uniquely fixes its transverse oscillation angle, amplitude and frequency within the 360degree plane perpendicular to its travelling direction. Once determined, these parameters remain constant throughout propagation without random shifts or arbitrary changes. Superposition of the photon’s longitudinal rectilinear motion and fixedangle transverse oscillation generates a standard sinusoidal trajectory. Consequently, all wavelike features observed in optics are geometric apparent effects originating from particle motion trajectories, rather than material properties intrinsic to photons. Based on this model, this paper reinterprets the core physical mechanism behind doubleslit interference. Contrary to the traditional explanation of photon selfinterference or wavefield superposition, interference fringes arise from microscopic mechanical interactions between transverselyoscillating photons and slit walls when photons pass through the slits. Such interactions regularly deflect photon flight angles. After being deflected and filtered by slits, large numbers of photons form uneven statistical distributions on the receiving plane and produce macroscopically observable lightanddark fringes. This paper also defines the threshold for photonphoton interactions. Ordinaryenergy photons such as visiblelight, infrared and ultraviolet photons do not interact, collide or exchange energy with one another in free space. Only gammaraylevel highenergy photons may collide, undergo energy annihilation, and convert into material particles such as electronpositron pairs. Relying entirely on classical mechanical superposition principles and discarding the contradictory hypothesis of waveparticle duality, the proposed purelyparticle model provides selfconsistent explanations for core classical optical phenomena and achieves analytical revision for the underlying logic of optical waveparticle phenomena.
The framework of classical physics includes the well-established Helmholtz wave equation, which accurately describes the propagation, interference, and diffraction behaviors of steady-state time-harmonic waves such as acoustic and electromagnetic waves at the macroscopic level. Verified by centuries of experiments, it is a universally recognized deterministic formula in fundamental physics. However, traditional physics has long operated within fixed boundaries: academia has always matched the Helmholtz equation with one-dimensional real scalar coordinates, applying it only to macroscopic matter wave fields, and never attempting to use it to describe the microscopic quantum world or the underlying ontology of the universe. Meanwhile, Heisenberg’s matrix mechanics, starting from the microscopic mathematical properties, derived the uncertainty principle based on the non-commutation relations of matrices, directly proving that microscopic mechanical quantities cannot be completely represented by real scalars. The microscopic universe is inherently adapted to matrix-dimensional structures, which is the fundamental cause of the proliferation of paradoxes in quantum mechanics under the real-coordinate framework.Addressing these dual shortcomings of the existing physical system, this paper presents original research: it fully retains the differential operators, wave constraints, and steady-state solution rules of the classical Helmholtz equation, introduces no new physical constants or artificial ad-hoc assumptions, and only replaces the real-space coordinates X and Y within the equation with second-order two-dimensional linear matrix coordinates, independently constructing a theoretical system of two-dimensional linear two-dimensional waves adapted to the microscopic ontology of the universe. It must be clearly defined: classical physics only has real-coordinate Helmholtz waves, used to explain macroscopic waves; the Helmholtz wave model based on two-dimensional linear matrix coordinates is an exclusive original theory of this paper, forming a dedicated new classical system to describe the true microscopic ontology of the universe.Drawing on rigorously verified traditional mathematical and physical tools such as the classical Helmholtz wave principle, Heisenberg’s matrix mechanics, the uncertainty principle, the linear projection theorem, and the principle of wave field superposition, this paper systematically elaborates the mathematical structure, dimensional characteristics, and evolutionary laws of two-dimensional linear two-dimensional waves, and reveals the ultimate physical nature of quantum observation collapse: all material entities in the microscopic world are two-dimensional linear two-dimensional Helmholtz waves, while the human macroscopic perceptual world and detection devices can only carry one-dimensional real information. The essence of the observation process is not the random collapse of the wavefunction as defined by quantum mechanics, but rather the observation system actively extracting one degree of freedom from the two-dimensional matrix wave, with the remaining single dimension completing dimensionality-reduction projection and mapping into the one-dimensional real physical space, ultimately forming the observational illusion of localized particles.This original theory can explain the two core experimental puzzles that have plagued quantum physics for a century without contradictions or ad-hoc patches: First, when observing the interference pattern throughout the double-slit experiment, this observation mode collects the steady-state information of the global superposition of two-dimensional waves without performing dimensional extraction, and thus does not trigger collapse; Second, when a single photon enters the human eye’s retina or a single-point detector completes fixed-point detection, the observation system imposes localized boundary conditions to force the extraction of the wave field dimension, realizing the "screen projection" imaging of two-dimensional waves onto one-dimensional reality, which macroscopically manifests as wavefunction collapse. This study breaks down the barriers between macroscopic classical waves and microscopic quantum phenomena, providing a unified explanation for microscopic phenomena such as wave-particle duality and quantum observation collapse with an original classical model, and offering a new underlying perspective for the grand unification research in fundamental physics.
Traditional quantum mechanics explains single-slit diffraction and double-slit interference using wave–particle duality, claiming that photons exhibit both particle and wave properties and can produce self-interference to form light–dark patterns. This paper proposes a new theory: photons always move in uniform linear motion, accompanied by 360° omnidirectional, random, uncontrollable microscopic tremor during propagation. The patterns observed in single-slit and double-slit experiments are macroscopic phenomena formed by collision, reflection, and angular deflection of photons with slit walls due to their inherent tremor, followed by geometric amplification and statistical superposition of numerous photon trajectories. No patterns appear without a baffle because photons do not collide with any wall; no patterns appear with an overly wide slit because photons still pass through without touching the walls. Patterns emerge only when the slit is narrow enough to cause photon–wall collisions. When photons collide with atoms on the slit walls, electrons undergo energy level transitions and emit secondary light; superposition of secondary light from different directions forms alternating bright and dark fringes. This paper designs a carbon nanotube light-absorbing/non-absorbing control experiment and a receiver backplate distance variation auxiliary experiment, both of which provide quantitative and measurable evidence for the theory and form a complete logical closed loop, indicating that the wave–particle duality interpretation is untenable.