Wave-Particle Duality: Particle Always Remains Particle and Its Wave Function Always Remains Wave

On the question of wave-particle duality, from the historic Bohr-Einstein debates a century ago, to this day, the view expressed in Niels Bohr’s Complementarity Principle has become well established, confirmed by numerous experiments: If the observation is for wave nature, then the particle changes to wave, and if the observation is for particle nature, then the particle remains particle. However, recently this view has been challenged. With proof based on the definition of wave function, it has been shown that particle always remains particle and its wave function always remains wave, no mysterious change from particle to wave and vice versa.

Wave-Particle Duality via Quantum Fisher Information

Quantum Fisher information(QFI) plays an important role in quantum metrology,placing the ultimate limit to how precise we can estimate some unknown parameter and thus quantifying how much information we can extract.We observe that both the wave and particle properties within a Mach–Zehnder interferometer can naturally be quantified by QFI.Firstly,the particle property can be quantified by how well one can estimate the a priori probability of the path taken by the particle within the interferometer.Secondly,as the interference pattern is always related to some phase difference,the wave property can be quantified by how well one can estimate the phase parameter of the original state.With QFI as the unified figure of merit for both properties,we propose a more general and stronger wave-particle duality relation than the original one derived by Englert.

KELEA (Kinetic Energy Limiting Electrostatic Attraction) Offers an Alternative Explanation to Existing Concepts Regarding Wave-Particle Duality, Cold Fusion and Superconductivity

Existing explanations for several major phenomena in physics may need to be reconsidered in light of the description of a natural force termed KELEA (kinetic energy limiting electrostatic attraction). Three examples are selected for discussion in this paper: i) The proposed wave-particle duality of electrons;ii) cold fusion;and iii) superconductivity. The current interpretations of these enigmatic concepts are incomplete and not fully validated by scientific methods. The observations underlying these processes are seemingly consistent with KELEA acting as a repelling force between opposite electrical charges. Relatively simple experiments can be designed to either confirm or exclude KELEA in these and in various other currently perplexing physical phenomena.

Wave-particle duality relation with a quantum N-path beamsplitter

The wave-particle duality relation derived by Englert sets an upper bound of the extractable information from wave and particle properties in a two-path interferometer.Surprisingly,previous studies demonstrated that the introduction of a quantum beamsplitter in the interferometer could break the limitation of this upper bound,due to interference between wave and particle states.Along the other line,a lot of efforts have been made to generalize this relation from the two-path setup to the N-path case.Thus,it is an interesting question that whether a quantum N-path beamsplitter can break the limitation as well.This paper systemically studies the model of a quantum N-path beamsplitter,and finds that the generalized wave-particle duality relation between interference visibility and path distinguishability is also broken in certain situations.We further study the maximal extractable information's reliance on the interference between wave and particle properties,and derive a quantitative description.We then propose an experimental methodology to verify the break of the limitation.Our work reflects the effect of quantum superposition on wave-particle duality,and exhibits a new aspect of the relation between visibility and path distinguishability in N-path interference.Moreover,it implies the observer's influence on wave-particle duality.

Simultaneous Measurement of Fringe Visibility and Path Predictability of Wave-Particle Duality

An experimental scheme to simultaneously obtain the information of fringe visibility and path predictability is designed. In a modified Young＇s double-slit experiment, two density filters rotating at different frequencies are placed before the two pineholes to encode path information. The spatial and temporal distributions of the output provide us with the wave and particle information of the single photons, respectively. The simultaneous measurement of the wave and particle information inevitably disturbs the system and thus causes some loss of the duality information, which is equal to the mixedness of the photonic state behind the density filters.

Quantum Interference without Wave-Particle Duality

Interference of light and material particles is described with a unified model which does not need to assume the wave-particle duality. A moving particle is associated with a region of spatial correlated points named coherence cone. Its geometry depends on photon or particle momentum and on the parameters of the experimental setup. The final interference pattern is explained as a spatial distribution of particles caused by the coherence cone geometry. In the present context, the wave front superposition principle, wave-particle duality and wave-collapse lose their meaning. Fits of observed single electron and single molecule interference patterns together with the simulation of expected near-field molecule interference (Talbot carpet) demonstrate the model validity.

The Wave-Particle Duality—Does the Concept of Particle Make Sense in Quantum Mechanics? Should We Ask the Second Quantization?

The quantum object is in general considered as displaying both wave and particle nature. By particle is understood an item localized in a very small volume of the space, and which cannot be simultaneously in two disjoint regions of the space. By wave, to the contrary, is understood a distributed item, occupying in some cases two or more disjoint regions of the space. The quantum formalism did not explain until today the so-called “collapse” of the wave-function, i.e. the shrinking of the wave-function to one small region of the space, when a macroscopic object is encountered. This seems to happen in “which-way” experiments. A very appealing explanation for this behavior is the idea of a particle, localized in some limited part of the wave-function. The present article challenges the concept of particle. It proves in the base of a variant of the Tan, Walls and Collett experiment, that this concept leads to a situation in which the particle has to be simultaneously in two places distant from one another—situation that contradicts the very definition of a particle. Another argument is based on a modified version of the Afshar experiment, showing that the concept of particle is problematic. The concept of particle makes additional difficulties when the wave-function passes through fields. An unexpected possibility to solve these difficulties seems to arise from the cavity quantum electrodynamics studies done recently by S. Savasta and his collaborators. It involves virtual particles. One of these studies is briefly described here. Though, experimental results are needed, so that it is too soon to conclude whether it speaks in favor, or against the concept of particle.

Study on the Physical Basis of Wave-Particle Duality: Modelling the Vacuum as a Continuous Mechanical Medium

One great surprise discovered in modern physics is that all elementary particles exhibit the property of wave-particle duality. We investigated this problem recently and found a simple way to explain this puzzle. We proposed that all particles, including massless particles such as photon and massive particles such as electron, can be treated as excitation waves in the vacuum, which behaves like a physical medium. Using such a model, the phenomenon of wave-particle duality can be explained naturally. The key question now is to find out what kind of physical properties this vacuum medium may have. In this paper, we investigate if the vacuum can be modeled as an elastic solid or a dielectric medium as envisioned in the Maxwell theory of electricity and magnetism. We show that a similar form of wave equation can be derived in three cases: (1) By modelling the vacuum medium as an elastic solid;(2) By constructing a simple Lagrangian density that is a 3-D extension of a stretched string or a vibrating membrane;(3) By assuming that the vacuum is a dielectric medium, from which the wave equation can be derived directly from Maxwell’s equations. Similarity between results of these three systems suggests that the vacuum can be modelled as a mechanical continuum, and the excitation wave in the vacuum behaves like some of the excitation waves in a physical medium.

The Dynamics of Wave-Particle Duality

Both classical and wave-mechanical monochromatic waves may be treated in terms of exact ray-trajectories (encoded in the structure itself of Helmholtz-like equations) whose mutual coupling is the one and only cause of any diffraction and interference process. In the case of Wave Mechanics, de Broglie’s merging of Maupertuis’s and Fermat’s principles (see Section 3) provides, without resorting to the probability-based guidance-laws and flow-lines of the Bohmian theory, the simple law addressing particles along the Helmholtz rays of the relevant matter waves. The purpose of the present research was to derive the exact Hamiltonian ray-trajectory systems concerning, respectively, classical electromagnetic waves, non-relativistic matter waves and relativistic matter waves. We faced then, as a typical example, the numerical solution of non-relativistic wave-mechanical equation systems in a number of numerical applications, showing that each particle turns out to “dances a wave-mechanical dance” around its classical trajectory, to which it reduces when the ray-coupling is neglected. Our approach reaches the double goal of a clear insight into the mechanism of wave-particle duality and of a reasonably simple computability. We finally compared our exact dynamical approach, running as close as possible to Classical Mechanics, with the hydrodynamic Bohmian theory, based on fluid-like “guidance laws”.

Experimental demonstration of separating the wave-particle duality of a single photon with the quantum Cheshire cat

As a fundamental characteristic of physical entities,wave-particle duality describes whether a microscopic entity exhibits wave or particle attributes depending on the specific experimental setup.This assumption is premised on the notion that physical properties are inseparable from the objective carrier.However,after the concept of the quantum Cheshire cats was proposed,which makes the separation of physical attributes from the entity possible,the premise no longer holds.Furthermore,an experimental demonstration of the separation of the wave and particle attributes inspired by this scenario remains scarce.In this work,we experimentally separated the wave and particle attributes of a single photon by exploiting the quantum Cheshire cat concept for the first time.By applying a weak disturbance to the evolution of the system,we achieve an effect similar to the quantum Cheshire cat and demonstrated the separation of the wave and particle attributes via the extraction of weak values.Our work provides a new perspective for the in-depth understanding of wave-particle duality and promotes the application of weak measurements in fundamentals of quantum mechanics.

From wave-particle duality to wave-particle-mixedness triality:an uncertainty approach

The wave-particle duality,as a manifestation of Bohr’s complementarity,is usually quantified in terms of path predictability and interference visibility.Various characterizations of the wave-particle duality have been proposed from an operational perspective,most of them are in forms of inequalities,and some of them are expressed in forms of equalities by incorporating entanglement or coherence.In this work,we shed different insights into the nature of the wave-particle duality by casting it into a form of information conservation in a multi-path interferometer,with uncertainty as a unified theme.More specifically,by employing the simple yet fundamental concept of variance,we establish a resolution of unity,which can be interpreted as a complementarity relation among wave feature,particle feature,and mixedness of a quantum state.This refines or reinterprets some conventional approaches to wave-particle duality,and highlights informational aspects of the issue.The key idea of our approach lies in that a quantum state,as a Hermitian operator,can also be naturally regarded as an observable,with measurement uncertainty(in a state)and state uncertainty(in a measurement)being exploited to quantify particle feature and wave feature of a quantum state,respectively.These two kinds of uncertainties,although both are defined via variance,have fundamentally different properties and capture different features of a state.Together with the mixedness,which is a kind of uncertainty intrinsic to a quantum state,they add up to unity,and thus lead to a characterization of the waveparticle-mixedness complementarity.This triality relation is further illustrated by examples and compared with some popular wave-particle duality or triality relations.

From In-Out Duality to the Foundation of Social Quantum Mechanics

This paper introduces a framework of in-out duality, merging insights from quantum mechanics with social sciences to illuminate the complex interplay between internal potentialities and external manifestations. It articulates foundational, mathematical axioms (Entanglement, Homogeneity, Emergence, and Measurement) that underpin the dynamics of systems, emphasizing the interconnectedness and emergent behaviors resulting from internal and external interactions. By exploring quantum concepts like coherence, entanglement, and superposition, the paper proposes an interdisciplinary approach termed Quantum Social Mechanics. This approach challenges classical paradigms, advocating for a reevaluation of conventional notions through the lens of quantum principles. The paper argues that understanding the universe’s complexities requires a synthesis of motion states and potential states, suggesting a paradigm shift towards integrating quantum mechanics into the philosophical foundation of social theory. Through this comprehensive framework, the paper aims to foster a deeper understanding of the universe’s interconnected nature and the dynamic processes that govern the emergence of complex systems and behaviors.

Storm-Time Evolution of Energetic Electron Pitch Angle Distributions by Wave-Particle Interaction

The quasi-pure pitch-angle scattering of energetic electrons driven by field-aligned propagating whistler mode waves during the 9～15 October 1990 magnetic storm at L≈ 3 ～ 4 is studied, and numerical calculations for energetic electrons in gyroresonance with a band of frequency of whistler mode waves distributed over a standard Gaussian spectrum is performed. It is found that the whistler mode waves can efficiently drive energetic electrons from the larger pitchangles into the loss cone, and lead to a flat-top distribution during the main phase of geomagnetic storms. This result perhaps presents a feasible interpretation for observation of time evolution of the quasi-isotropic pitch-angle distribution by Combined Release and Radiation Effects Satellite （CRRES） spacecraft at L ≈ 3 ～ 4.

Magnetism: Further Proof of Wave Particle Duality

The question of what magnetism is vital to quantum physics. We know what all other quantum phenomenon is, but we did not know what magnetism is. It is not enough to say it is a force because of a charge. That force must be something, for consistencies sake it had to be tested. This paper was written in order to confirm the results that were received in the experiments that took place that led to the paper “Magnetism: Insights from the Thomas Young Experiment” where it was concluded the magnetic phenomenon is both a particle and a wave. Will different interference patterns confirm a khumalon and wave like behaviour? The khumalon is the name of the particle associated with magnetic phenomenon. This paper concludes by confirming what was discovered in mentioned paper. Magnetism organizes into a wave no matter the interference. Understanding this reality, it allows us to understand what is happening with simple magnetic interactions. When like poles meet because they can not occupy the same space they push each other. Opposite poles are antiparticles to each other and annihilate each other. South pole scientifically speaking is not attracted to the north pole, the reason why the magnets slam each other is because they are closing a magnetic vacuum caused by the particles annihilating each other. We can now start theorizing on why a lodestone attracts iron because we now know we are dealing with a particle.

Magnetism: Further Proof of Wave Particle Duality

The question of what magnetism is vital to quantum physics. We know what all other quantum phenomenon is, but we did not know what magnetism is. It is not enough to say it is a force because of a charge. That force must be something, for consistencies sake it had to be tested. This paper was written in order to confirm the results that were received in the experiments that took place that led to the paper “Magnetism: Insights from the Thomas Young Experiment” where it was concluded the magnetic phenomenon is both a particle and a wave. Will different interference patterns confirm a khumalon and wave like behaviour? The khumalon is the name of the particle associated with magnetic phenomenon. This paper concludes by confirming what was discovered in mentioned paper. Magnetism organizes into a wave no matter the interference. Understanding this reality, it allows us to understand what is happening with simple magnetic interactions. When like poles meet because they can not occupy the same space they push each other. Opposite poles are antiparticles to each other and annihilate each other. South pole scientifically speaking is not attracted to the north pole, the reason why the magnets slam each other is because they are closing a magnetic vacuum caused by the particles annihilating each other. We can now start theorizing on why a lodestone attracts iron because we now know we are dealing with a particle.

医学伦理学发展新阶段的历史使命

每个时代都有每个时代伦理学的主轴。当今医学伦理学面临崭新的境遇,资本、技术、权力和全民健康等问题,已经构成医学伦理学应对和挑战的主要课题。新形势向医学伦理学提出了种种新任务,探索完成这些新任务的政策建议和伦理举措;适应新形势医学伦理学如何加强自身理念的充实、创新和提高;在新情境下如何促进医学伦理学在医学领域内的全面覆盖,让医学伦理学在医学中深深扎根,促进医学技术更好地服务于人民大众的健康,都是开启医学伦理学新征程面临的担当。

Fresnel Equations Derived Using a Non-Local Hidden-Variable Particle Theory

Problem: The Fresnel equations describe the proportions of reflected and transmitted light from a surface, and are conventionally derived from wave theory continuum mechanics. Particle-based derivations of the Fresnel equations appear not to exist. Approach: The objective of this work was to derive the basic optical laws from first principles from a particle basis. The particle model used was the Cordus theory, a type of non-local hidden-variable (NLHV) theory that predicts specific substructures to the photon and other particles. Findings: The theory explains the origin of the orthogonal electrostatic and magnetic fields, and re-derives the refraction and reflection laws including Snell’s law and critical angle, and the Fresnel equations for s and p-polarisation. These formulations are identical to those produced by electromagnetic wave theory. Contribution: The work provides a comprehensive derivation and physical explanation of the basic optical laws, which appears not to have previously been shown from a particle basis. Implications: The primary implications are for suggesting routes for the theoretical advancement of fundamental physics. The Cordus NLHV particle theory explains optical phenomena, yet it also explains other physical phenomena including some otherwise only accessible through quantum mechanics (such as the electron spin g-factor) and general relativity (including the Lorentz and relativistic Doppler). It also provides solutions for phenomena of unknown causation, such as asymmetrical baryogenesis, unification of the interactions, and reasons for nuclide stability/instability. Consequently, the implication is that NLHV theories have the potential to represent a deeper physics that may underpin and unify quantum mechanics, general relativity, and wave theory.

直流变换器广义对偶与相通性探讨

提出严格对偶和广义对偶的概念,探讨直流变换器的对偶性与相通性。对于三大类直流变换器,即Buck类、Boost类、Buck-Boost类变换器,包括隔离型和非隔离型,推导其严格对偶变换器,并分析可能存在的广义对偶变换器。对于一个已知的基本变换器,发现存在3个与其对偶的变换器,其中一个为严格对偶,两个为广义对偶。采用相通性,分析组合变换器与基本变换器之间的关联及在变换器推演上用到的相似处理方法,有利于变换器拓展与延伸。将软开关直流变换器看作是直流变换器与软开关电路的组合,可采用对偶与相通的方法对其进行研究。重点研究准谐振变换器的广义对偶与严格对偶,简要分析其余软开关直流变换器的对偶性。最后,通过分析直流变换器和软开关直流变换器仿真波形上的对偶性,验证理论分析的正确性。

数据如何驱动制造型企业平台战略转型——基于数据组织属性及凯盛企业集团案例研究

数字技术与经济活动的深度融合,无论从深度和广度上都加快了经济与社会发展。作为资源和技术手段的数据,极大改变了传统微观企业运营管理模式及战略。文章提出数据具有自组织和他组织二重属性,数据组织二重性及其杠杆效应成为在位企业对其他企业竞争壁垒,并运用案例进一步阐释“数据资源+”作用机理及如何构筑了企业竞争优势,促进企业平台化战略转型。

基诺族森林利用与保护的二元一体思想

历史时期基诺族在生态、物质层面对森林的利用程度较高,然而其赖以生存和发展的基诺山到20世纪50年代末仍然有较高的森林覆盖率,森林利用与保护的二元一体是其森林保持状态较好的重要原因。基诺族森林利用与保护的二元一体思想在技术层面主要包括错位、适时、适用及防火,精神层面为敬先用后,制度层面主要包括权属明确、滥伐则罚。森林利用与保护表现出较强的整体性,形成以护林为轴心的“用林—护林—用林”双向循环运转模式,在此基础上形成林人共生格局。