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 disjo...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.展开更多
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 bee...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.展开更多
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 fo...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.展开更多
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 a...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.展开更多
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 t...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.展开更多
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 freque...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.展开更多
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 p...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.展开更多
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 num...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.展开更多
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 ...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.展开更多
Wave-particle duality as a fundamental tenet of quantum mechanics is crucial for advancing comprehension of quantum theories and developing quantum technologies with practical applications.However,taking into account ...Wave-particle duality as a fundamental tenet of quantum mechanics is crucial for advancing comprehension of quantum theories and developing quantum technologies with practical applications.However,taking into account experimental impact factors to develop a feasible measurement for wave-like and particle-like properties of light fields is an ongoing challenge,and the non-classicality extraction and determination remains to be explored.In this work,feasibly measurable second-order photon correlations based on Hanbury Brown-Twiss and Hong-Ou-Mandel interferences are employed to analyze the evolution of wave-particle duality for various input states.The wave-particle dualities of chaotic,coherent and mixed classical states as functions of time delay and coherence time are investigated.The realistic impacts of background noise,detection efficiency,intensity ratio and phase differences on the wave-particle duality of nonclassical(Fock and squeezed coherent)states are unveiled.In noisy backgrounds with low detection efficiencies,efficient enhancement and extraction of non-classicality and a continuous transition from classical to nonclassical region are achieved in single photon state mixed with coherent state by adjusting the phase difference from 0 to π/2.The non-classicality of squeezed coherent state can be induced by the classical wave-like and particle-like properties.The research provides a practical precision measurement of wave-particle duality that is helpful for the improvement of high-resolution quantum imaging and sensing.展开更多
In this paper,we extend the unified gas-kinetic wave-particle(UGKWP)methods to the multi-species gas mixture and multiscale plasma transport.The construction of the scheme is based on the direct modeling on the mesh s...In this paper,we extend the unified gas-kinetic wave-particle(UGKWP)methods to the multi-species gas mixture and multiscale plasma transport.The construction of the scheme is based on the direct modeling on the mesh size and time step scales,and the local cell’s Knudsen number determines the flow physics.The proposed scheme has the multiscale and asymptotic complexity diminishing properties.The multiscale property means that according to the cell’s Knudsen number the scheme can capture the non-equilibrium flow physics when the cell size is on the kinetic mean free path scale,and preserve the asymptotic Euler,Navier-Stokes,and magnetohydrodynamics(MHD)when the cell size is on the hydrodynamic scale and is much larger than the particle mean free path.The asymptotic complexity diminishing property means that the total degrees of freedom of the scheme reduce automatically with the decreasing of the cell’s Knudsen number.In the continuum regime,the scheme automatically degenerates from a kinetic solver to a hydrodynamic solver.In the UGKWP,the evolution of microscopic velocity distribution is coupled with the evolution of macroscopic variables,and the particle evolution as well as the macroscopic fluxes is modeled from a time accumulating solution of kinetic scale particle transport and collision up to a time step scale.For plasma transport,the current scheme provides a smooth transition from particle-in-cell(PIC)method in the rarefied regime to the magnetohydrodynamic solver in the continuum regime.In the continuum limit,the cell size and time step of the UGKWP method are not restricted by the particle mean free path and mean collision time.In the highly magnetized regime,the cell size and time step are not restricted by the Debye length and plasma cyclotron period.The multiscale and asymptotic complexity diminishing properties of the scheme are verified by numerical tests in multiple flow regimes.展开更多
With wave-particle decomposition,a unified gas-kinetic wave-particle(UGKWP)method has been developed for multiscale flow simulations.With the variation of the cell Knudsen number,the UGKWP method captures the transpor...With wave-particle decomposition,a unified gas-kinetic wave-particle(UGKWP)method has been developed for multiscale flow simulations.With the variation of the cell Knudsen number,the UGKWP method captures the transport process in all flow regimes without the kinetic solver’s constraint on the numerical mesh size and time step being determined by the kinetic particle mean free path and particle collision time.In the current UGKWP method,the cell Knudsen number,which is defined as the ratio of particle collision time to numerical time step,is used to distribute the components in the wave-particle decomposition.The adaptation of particles in the UGKWP method is mainly for the capturing of the non-equilibrium transport.In this aspect,the cell Knudsen number alone is not enough to identify the non-equilibrium state.For example,in the equilibrium flow regime with a Maxwellian distribution function,even at a large cell Knudsen number,the flow evolution can be still modelled by the Navier-Stokes solver.More specifically,in the near space environment both the hypersonic flow around a space vehicle and the plume flow from a satellite nozzle will encounter a far field rarefied equilibrium flow in a large computational domain.In the background dilute equilibrium region,the large particle collision time and a uniform small numerical time step can result in a large local cell Knudsen number and make the UGKWP method track a huge number of particles for the far field background flow in the original approach.But,in this region the analytical wave representation can be legitimately used in the UGKWP method to capture the nearly equilibrium flow evolution.Therefore,to further improve the efficiency of the UGKWP method for multiscale flow simulations,an adaptive UGKWP(AUGKWP)method is developed with the introduction of an additional local flow variable gradient-dependent Knudsen number.As a result,the wave-particle decomposition in the UGKWP method is determined by both the cell and gradient Knudsen numbers,and the use of particles in the UGKWP method is solely to capture the non-equilibrium flow transport.The current AUGKWP method becomes much more efficient than the previous one with the cell Knudsen number only in the determination of wave-particle composition.Many numerical tests,including Sod shock tube,normal shock structure,hypersonic flow around cylinder,flow around reentry capsule,and an unsteady nozzle plume flow,have been conducted to validate the accuracy and efficiency of the AUGKWP method.Compared with the original UGKWP method,the AUGKWP method achieves the same accuracy,but has advantages in memory reduction and computational efficiency in the simulation for flows with the co-existing of multiple regimes.展开更多
A coupled gas-kinetic scheme(GKS)and unified gas-kinetic wave-particle(UGKWP)method for the disperse dilute gas-particle multiphaseflow is proposed.In the two-phaseflow,the gas phase is always in the hydrodynamic regi...A coupled gas-kinetic scheme(GKS)and unified gas-kinetic wave-particle(UGKWP)method for the disperse dilute gas-particle multiphaseflow is proposed.In the two-phaseflow,the gas phase is always in the hydrodynamic regime and is fol-lowed by GKS for the Navier-Stokes solution.The particle phase is solved by UGKWP in all regimes from particle trajectory crossing to the hydrodynamic wave interac-tion with the variation of particle’s Knudsen number.In the intensive particle colli-sion regime,the UGKWP gives a hydrodynamic wave representation for the particle phase and the GKS-UGKWP for the two-phaseflow reduces to the two-fluid Eulerian-Eulerian(EE)model.In the rarefied regime,the UGKWP tracks individual particle and the GKS-UGKWP goes back to the Eulerian-Lagrangian(EL)formulation.In the tran-sition regime for the solid particle,the GKS-UGKWP takes an optimal choice for the wave and particle decomposition for the solid particle phase and connects the EE and EL methods seamlessly.The GKS-UGKWP method will be tested in allflow regimes with a large variation of Knudsen number for the solid particle transport and Stokes number for the two-phase interaction.It is confirmed that GKS-UGKWP is an efficient and accurate multiscale method for the gas-particle two-phaseflow.展开更多
Exohiss are broadband,structureless whistler-mode waves outside the plasmapause.In our work,using the data sets detected by the EMFISIS suite aboard Van Allen Probe A,from 1st January 2013 to 30th June 2017,the exohis...Exohiss are broadband,structureless whistler-mode waves outside the plasmapause.In our work,using the data sets detected by the EMFISIS suite aboard Van Allen Probe A,from 1st January 2013 to 30th June 2017,the exohiss waves are categorized among two types based on the direction of Poynting flux:unidirectional exohiss,and bidirectional exohiss waves.It seems that most exohiss waves are bidirectional,which are mainly distributed on the dayside.Compared to the hiss waves within the plasmasphere,the amplitude of bidirectional exohiss waves on the prenoon side increase very little with the enhancement of geomagnetic activity.Through the analysis of suprathermal electron flux associated with geomagnetic activity,this suggests that the waves may undergo very strong Landau damping during intense geomagnetic activity.On the other hand,the unidirectional exohiss waves are mainly distributed on the afternoon side,and the largest unidirectional exohiss waves are observed during the highest levels of substorm activity.展开更多
This paper describes the experimental analysis and preliminary investigation of the predictability of pitch angle scattering(PAS) events through the electron cyclotron emission(ECE)radiometer signals at the ADITYA-Upg...This paper describes the experimental analysis and preliminary investigation of the predictability of pitch angle scattering(PAS) events through the electron cyclotron emission(ECE)radiometer signals at the ADITYA-Upgrade(ADITYA-U) tokamak. For low-density discharges at ADITYA-U, a sudden abnormal rise is observed in the ECE signature while other plasma parameters are unchanged. Investigations are done to understand this abrupt rise that is expected to occur due to PAS. The rise time is as fast as 100 μs with a single step and/or multiple step rise in ECE radiometer measurements. This event is known to limit the on-axis energy of runaway electrons. Being a repetitive event, the conditions of its repetitive occurrence can be investigated, thereby exploring the possibility of it being triggered and surveyed as an alternate runaway electron mitigation plan. Functional parameterization of such events with other discharge parameters is obtained and the possibility to trigger these events is discussed.PREDICT code is used to investigate the possible interpretations for the PAS occurrence through modeling and supporting the ECE observations. The trigger values so obtained experimentally are set as input criteria for PAS occurrence. Preliminary modeling investigations provide reliable consistency with the findings.展开更多
The Space Plasma Environment Research Facility(SPERF)for ground simulation of the space plasma environment is a key component of the Space Environment Simulation Research Infrastructure(SESRI),a major national science...The Space Plasma Environment Research Facility(SPERF)for ground simulation of the space plasma environment is a key component of the Space Environment Simulation Research Infrastructure(SESRI),a major national science and technology infrastructure for fundamental research.It is designed to investigate outstanding issues in the space plasma environment,such as energetic particle acceleration,transport,and interaction with electromagnetic waves,as well as magnetic reconnection processes,in magnetospheric plasmas.The Tail-Research EXperiment(TREX)is part of the SPERF for laboratory studies of space physics relevant to magnetic reconnection,dipolarization and hydromagnetic wave excitation in the magnetotail.SPERFTREX is designed to carry out three types of experiments:the tail plasmoid for magnetic reconnection,dipolarization front formation,and magnetohydrodynamic waves excited by highspeed plasma jets.In this paper,the scientific goals and three scenarios of SPERF-TREX for typical processes in space plasmas are presented,and experimental plans for SPERF-TREX are also reviewed,together with the plasma sources applied to generate the plasma with the desired parameters and various magnetic configurations.展开更多
In this paper we develop and study, as the second part of one more general development, the energy transmutation equation for the material singularity, previously obtained through the symmetrisation of a wave packet, ...In this paper we develop and study, as the second part of one more general development, the energy transmutation equation for the material singularity, previously obtained through the symmetrisation of a wave packet, that is, we develop the correlation between the terms of this equation, which accounts for the formation of matter from a previous vibrational state, and the different possible energy species. These energetic species are ascribed, in a simplified form, to the equation E¯ω=E¯k+E¯f, which allows us, through its associated phase factor, to gain an insight into the wave character of the kinetic energy and thus to attain the basis of the matter-wave, and all sorts of related phenomenologies, including that concerning quantum entanglement. The formation of the matter was previously identified as an energetic process, analogous to the kinetic one, in which finally the inertial mass is consolidated as a mass in a different phase, now, in addition, the mass of the material singularity is identified as a volumetric density of waves of toroidal geometry created in the process of singularisation or energy transfer between species, which makes it possible to establish the real relation or correspondence between the corpuscular and photonic energy equation (E=mc2=hν), i.e. to explain through m the intimate sense of the first equivalence, which explains what νis in the second one.展开更多
Twenty-six years ago, a small committee report built upon earlier studies to articulate a compelling and poetic vision for the future of astronomy. This vision called for an infrared-optimized space telescope with an ...Twenty-six years ago, a small committee report built upon earlier studies to articulate a compelling and poetic vision for the future of astronomy. This vision called for an infrared-optimized space telescope with an aperture of at least four meters. With the support of their governments in the US, Europe, and Canada, 20,000 people brought this vision to life as the 6.5-meter James Webb Space Telescope (JWST). The telescope is working perfectly, delivering much better image quality than expected [1]. JWST is one hundred times more powerful than the Hubble Space Telescope and has already captured spectacular images of the distant universe. A view of a tiny part of the sky reveals many well-formed spiral galaxies, some over thirteen billion light-years away. These observations challenge the standard Big Bang Model (BBM), which posits that early galaxies should be small and lack well-formed spiral structures. JWST’s findings are prompting scientists to reconsider the BBM in its current form. Throughout the history of science, technological advancements have led to new results that challenge established theories, sometimes necessitating their modification or even abandonment. This happened with the geocentric model four centuries ago, and the BBM may face a similar reevaluation as JWST provides more images of the distant universe. In 1937, P. Dirac proposed the Large Number Hypothesis and the Hypothesis of Variable Gravitational Constant, later incorporating the concept of Continuous Creation of Matter in the universe. The Hypersphere World-Universe Model (WUM) builds on these ideas, introducing a distinct mechanism for matter creation. WUM is proposed as an alternative to the prevailing BBM. Its main advantage is the elimination of the “Initial Singularity” and “Inflation”, offering explanations for many unresolved problems in Cosmology. WUM is presented as a natural extension of Classical Physics with the potential to bring about a significant transformation in both Cosmology and Classical Physics. Considering JWST’s discoveries, WUM’s achievements, and 87 years of Dirac’s proposals, it is time to initiate a fundamental transformation in Astronomy, Cosmology, and Classical Physics. The present paper is a continuation of the published article “JWST Discoveries—Confirmation of World-Universe Model Predictions” [2] and a summary of the paper “Hypersphere World-Universe Model: Digest of Presentations John Chappell Natural Philosophy Society” [3]. Many results obtained there are quoted in the current work without full justification;interested readers are encouraged to view the referenced papers for detailed explanations.展开更多
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...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.展开更多
Radiation belt electron dropouts indicate electron flux decay to the background level during geomagnetic storms,which is commonly attributed to the effects of wave-induced pitch angle scattering and magnetopause shado...Radiation belt electron dropouts indicate electron flux decay to the background level during geomagnetic storms,which is commonly attributed to the effects of wave-induced pitch angle scattering and magnetopause shadowing.To investigate the loss mechanisms of radiation belt electron dropouts triggered by a solar wind dynamic pressure pulse event on 12 September 2014,we comprehensively analyzed the particle and wave measurements from Van Allen Probes.The dropout event was divided into three periods:before the storm,the initial phase of the storm,and the main phase of the storm.The electron pitch angle distributions(PADs)and electron flux dropouts during the initial and main phases of this storm were investigated,and the evolution of the radial profile of electron phase space density(PSD)and the(μ,K)dependence of electron PSD dropouts(whereμ,K,and L^*are the three adiabatic invariants)were analyzed.The energy-independent decay of electrons at L>4.5 was accompanied by butterfly PADs,suggesting that the magnetopause shadowing process may be the major loss mechanism during the initial phase of the storm at L>4.5.The features of electron dropouts and 90°-peaked PADs were observed only for>1 MeV electrons at L<4,indicating that the wave-induced scattering effect may dominate the electron loss processes at the lower L-shell during the main phase of the storm.Evaluations of the(μ,K)dependence of electron PSD drops and calculations of the minimum electron resonant energies of H+-band electromagnetic ion cyclotron(EMIC)waves support the scenario that the observed PSD drop peaks around L^*=3.9 may be caused mainly by the scattering of EMIC waves,whereas the drop peaks around L^*=4.6 may result from a combination of EMIC wave scattering and outward radial diffusion.展开更多
文摘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.
基金supported by the National Key R&D Program of China,Grant No.2020YFA0712700the Fundamental Research Funds for the Central Universities,Grant No.FRFTP-19-012A3the National Natural Science Foundation of China,Grant Nos.11875317 and 61833010。
文摘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.
基金National Natural Science Foundation of China(Nos.40774078,40404012,40674076,40474064)the Visiting Scholar Foundation of State Key Laboratory of Space Weather,Chinese Academy of Sciences
文摘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.
文摘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.
基金the National Natural Science Foundation of China(Grant No.61632021).
文摘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.
基金Supported by the National Science Foundation(INSPIRE CREATIV)under Grant No PHY-1241032the Robert A.Welch Foundation under Grant No A-1261the National Natural Science Foundation of China under Grant No 11664018
文摘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.
文摘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.
文摘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.
文摘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.
基金supported by the National Key Research and Development Program of China(No.2022YFA1404201)the National Natural Science Foundation of China(Nos.62175176,62075154,62475185,U23A20380,and 62305241)the Natural Science Foundation of Shanxi Province(Nos.202203021222107 and 202203021222113).
文摘Wave-particle duality as a fundamental tenet of quantum mechanics is crucial for advancing comprehension of quantum theories and developing quantum technologies with practical applications.However,taking into account experimental impact factors to develop a feasible measurement for wave-like and particle-like properties of light fields is an ongoing challenge,and the non-classicality extraction and determination remains to be explored.In this work,feasibly measurable second-order photon correlations based on Hanbury Brown-Twiss and Hong-Ou-Mandel interferences are employed to analyze the evolution of wave-particle duality for various input states.The wave-particle dualities of chaotic,coherent and mixed classical states as functions of time delay and coherence time are investigated.The realistic impacts of background noise,detection efficiency,intensity ratio and phase differences on the wave-particle duality of nonclassical(Fock and squeezed coherent)states are unveiled.In noisy backgrounds with low detection efficiencies,efficient enhancement and extraction of non-classicality and a continuous transition from classical to nonclassical region are achieved in single photon state mixed with coherent state by adjusting the phase difference from 0 to π/2.The non-classicality of squeezed coherent state can be induced by the classical wave-like and particle-like properties.The research provides a practical precision measurement of wave-particle duality that is helpful for the improvement of high-resolution quantum imaging and sensing.
基金supported by National Numerical Windtunnel project and National Science Foundation of China 11772281,91852114.
文摘In this paper,we extend the unified gas-kinetic wave-particle(UGKWP)methods to the multi-species gas mixture and multiscale plasma transport.The construction of the scheme is based on the direct modeling on the mesh size and time step scales,and the local cell’s Knudsen number determines the flow physics.The proposed scheme has the multiscale and asymptotic complexity diminishing properties.The multiscale property means that according to the cell’s Knudsen number the scheme can capture the non-equilibrium flow physics when the cell size is on the kinetic mean free path scale,and preserve the asymptotic Euler,Navier-Stokes,and magnetohydrodynamics(MHD)when the cell size is on the hydrodynamic scale and is much larger than the particle mean free path.The asymptotic complexity diminishing property means that the total degrees of freedom of the scheme reduce automatically with the decreasing of the cell’s Knudsen number.In the continuum regime,the scheme automatically degenerates from a kinetic solver to a hydrodynamic solver.In the UGKWP,the evolution of microscopic velocity distribution is coupled with the evolution of macroscopic variables,and the particle evolution as well as the macroscopic fluxes is modeled from a time accumulating solution of kinetic scale particle transport and collision up to a time step scale.For plasma transport,the current scheme provides a smooth transition from particle-in-cell(PIC)method in the rarefied regime to the magnetohydrodynamic solver in the continuum regime.In the continuum limit,the cell size and time step of the UGKWP method are not restricted by the particle mean free path and mean collision time.In the highly magnetized regime,the cell size and time step are not restricted by the Debye length and plasma cyclotron period.The multiscale and asymptotic complexity diminishing properties of the scheme are verified by numerical tests in multiple flow regimes.
基金the National Key R&D Program of China(Grant No.2022YFA1004500)National Natural Science Foundation of China(Grant No.12172316)the Hong Kong Research Grants Council(Grant Nos.16208021,16301222).
文摘With wave-particle decomposition,a unified gas-kinetic wave-particle(UGKWP)method has been developed for multiscale flow simulations.With the variation of the cell Knudsen number,the UGKWP method captures the transport process in all flow regimes without the kinetic solver’s constraint on the numerical mesh size and time step being determined by the kinetic particle mean free path and particle collision time.In the current UGKWP method,the cell Knudsen number,which is defined as the ratio of particle collision time to numerical time step,is used to distribute the components in the wave-particle decomposition.The adaptation of particles in the UGKWP method is mainly for the capturing of the non-equilibrium transport.In this aspect,the cell Knudsen number alone is not enough to identify the non-equilibrium state.For example,in the equilibrium flow regime with a Maxwellian distribution function,even at a large cell Knudsen number,the flow evolution can be still modelled by the Navier-Stokes solver.More specifically,in the near space environment both the hypersonic flow around a space vehicle and the plume flow from a satellite nozzle will encounter a far field rarefied equilibrium flow in a large computational domain.In the background dilute equilibrium region,the large particle collision time and a uniform small numerical time step can result in a large local cell Knudsen number and make the UGKWP method track a huge number of particles for the far field background flow in the original approach.But,in this region the analytical wave representation can be legitimately used in the UGKWP method to capture the nearly equilibrium flow evolution.Therefore,to further improve the efficiency of the UGKWP method for multiscale flow simulations,an adaptive UGKWP(AUGKWP)method is developed with the introduction of an additional local flow variable gradient-dependent Knudsen number.As a result,the wave-particle decomposition in the UGKWP method is determined by both the cell and gradient Knudsen numbers,and the use of particles in the UGKWP method is solely to capture the non-equilibrium flow transport.The current AUGKWP method becomes much more efficient than the previous one with the cell Knudsen number only in the determination of wave-particle composition.Many numerical tests,including Sod shock tube,normal shock structure,hypersonic flow around cylinder,flow around reentry capsule,and an unsteady nozzle plume flow,have been conducted to validate the accuracy and efficiency of the AUGKWP method.Compared with the original UGKWP method,the AUGKWP method achieves the same accuracy,but has advantages in memory reduction and computational efficiency in the simulation for flows with the co-existing of multiple regimes.
基金supported by National Numerical Windtunnel project,National Science Foundation of China(11772281,91852114,12172316)Hong Kong research grant council 16208021Department of Science and Technology of Guangdong Province(Grant No.2020B1212030001).
文摘A coupled gas-kinetic scheme(GKS)and unified gas-kinetic wave-particle(UGKWP)method for the disperse dilute gas-particle multiphaseflow is proposed.In the two-phaseflow,the gas phase is always in the hydrodynamic regime and is fol-lowed by GKS for the Navier-Stokes solution.The particle phase is solved by UGKWP in all regimes from particle trajectory crossing to the hydrodynamic wave interac-tion with the variation of particle’s Knudsen number.In the intensive particle colli-sion regime,the UGKWP gives a hydrodynamic wave representation for the particle phase and the GKS-UGKWP for the two-phaseflow reduces to the two-fluid Eulerian-Eulerian(EE)model.In the rarefied regime,the UGKWP tracks individual particle and the GKS-UGKWP goes back to the Eulerian-Lagrangian(EL)formulation.In the tran-sition regime for the solid particle,the GKS-UGKWP takes an optimal choice for the wave and particle decomposition for the solid particle phase and connects the EE and EL methods seamlessly.The GKS-UGKWP method will be tested in allflow regimes with a large variation of Knudsen number for the solid particle transport and Stokes number for the two-phase interaction.It is confirmed that GKS-UGKWP is an efficient and accurate multiscale method for the gas-particle two-phaseflow.
基金supported by National Natural Science Foundation of China under Grants 42374201,42274206,42374187Natural Science Foundation of Jiangxi Province under grants 20243BCE51,20243BCE51151 and 20232BAB213078.
文摘Exohiss are broadband,structureless whistler-mode waves outside the plasmapause.In our work,using the data sets detected by the EMFISIS suite aboard Van Allen Probe A,from 1st January 2013 to 30th June 2017,the exohiss waves are categorized among two types based on the direction of Poynting flux:unidirectional exohiss,and bidirectional exohiss waves.It seems that most exohiss waves are bidirectional,which are mainly distributed on the dayside.Compared to the hiss waves within the plasmasphere,the amplitude of bidirectional exohiss waves on the prenoon side increase very little with the enhancement of geomagnetic activity.Through the analysis of suprathermal electron flux associated with geomagnetic activity,this suggests that the waves may undergo very strong Landau damping during intense geomagnetic activity.On the other hand,the unidirectional exohiss waves are mainly distributed on the afternoon side,and the largest unidirectional exohiss waves are observed during the highest levels of substorm activity.
文摘This paper describes the experimental analysis and preliminary investigation of the predictability of pitch angle scattering(PAS) events through the electron cyclotron emission(ECE)radiometer signals at the ADITYA-Upgrade(ADITYA-U) tokamak. For low-density discharges at ADITYA-U, a sudden abnormal rise is observed in the ECE signature while other plasma parameters are unchanged. Investigations are done to understand this abrupt rise that is expected to occur due to PAS. The rise time is as fast as 100 μs with a single step and/or multiple step rise in ECE radiometer measurements. This event is known to limit the on-axis energy of runaway electrons. Being a repetitive event, the conditions of its repetitive occurrence can be investigated, thereby exploring the possibility of it being triggered and surveyed as an alternate runaway electron mitigation plan. Functional parameterization of such events with other discharge parameters is obtained and the possibility to trigger these events is discussed.PREDICT code is used to investigate the possible interpretations for the PAS occurrence through modeling and supporting the ECE observations. The trigger values so obtained experimentally are set as input criteria for PAS occurrence. Preliminary modeling investigations provide reliable consistency with the findings.
基金supported by the State Commission of Development and Reform of ChinaNational Natural Science Foundation of China(Nos.42261134533,11261140326,11405038)。
文摘The Space Plasma Environment Research Facility(SPERF)for ground simulation of the space plasma environment is a key component of the Space Environment Simulation Research Infrastructure(SESRI),a major national science and technology infrastructure for fundamental research.It is designed to investigate outstanding issues in the space plasma environment,such as energetic particle acceleration,transport,and interaction with electromagnetic waves,as well as magnetic reconnection processes,in magnetospheric plasmas.The Tail-Research EXperiment(TREX)is part of the SPERF for laboratory studies of space physics relevant to magnetic reconnection,dipolarization and hydromagnetic wave excitation in the magnetotail.SPERFTREX is designed to carry out three types of experiments:the tail plasmoid for magnetic reconnection,dipolarization front formation,and magnetohydrodynamic waves excited by highspeed plasma jets.In this paper,the scientific goals and three scenarios of SPERF-TREX for typical processes in space plasmas are presented,and experimental plans for SPERF-TREX are also reviewed,together with the plasma sources applied to generate the plasma with the desired parameters and various magnetic configurations.
文摘In this paper we develop and study, as the second part of one more general development, the energy transmutation equation for the material singularity, previously obtained through the symmetrisation of a wave packet, that is, we develop the correlation between the terms of this equation, which accounts for the formation of matter from a previous vibrational state, and the different possible energy species. These energetic species are ascribed, in a simplified form, to the equation E¯ω=E¯k+E¯f, which allows us, through its associated phase factor, to gain an insight into the wave character of the kinetic energy and thus to attain the basis of the matter-wave, and all sorts of related phenomenologies, including that concerning quantum entanglement. The formation of the matter was previously identified as an energetic process, analogous to the kinetic one, in which finally the inertial mass is consolidated as a mass in a different phase, now, in addition, the mass of the material singularity is identified as a volumetric density of waves of toroidal geometry created in the process of singularisation or energy transfer between species, which makes it possible to establish the real relation or correspondence between the corpuscular and photonic energy equation (E=mc2=hν), i.e. to explain through m the intimate sense of the first equivalence, which explains what νis in the second one.
文摘Twenty-six years ago, a small committee report built upon earlier studies to articulate a compelling and poetic vision for the future of astronomy. This vision called for an infrared-optimized space telescope with an aperture of at least four meters. With the support of their governments in the US, Europe, and Canada, 20,000 people brought this vision to life as the 6.5-meter James Webb Space Telescope (JWST). The telescope is working perfectly, delivering much better image quality than expected [1]. JWST is one hundred times more powerful than the Hubble Space Telescope and has already captured spectacular images of the distant universe. A view of a tiny part of the sky reveals many well-formed spiral galaxies, some over thirteen billion light-years away. These observations challenge the standard Big Bang Model (BBM), which posits that early galaxies should be small and lack well-formed spiral structures. JWST’s findings are prompting scientists to reconsider the BBM in its current form. Throughout the history of science, technological advancements have led to new results that challenge established theories, sometimes necessitating their modification or even abandonment. This happened with the geocentric model four centuries ago, and the BBM may face a similar reevaluation as JWST provides more images of the distant universe. In 1937, P. Dirac proposed the Large Number Hypothesis and the Hypothesis of Variable Gravitational Constant, later incorporating the concept of Continuous Creation of Matter in the universe. The Hypersphere World-Universe Model (WUM) builds on these ideas, introducing a distinct mechanism for matter creation. WUM is proposed as an alternative to the prevailing BBM. Its main advantage is the elimination of the “Initial Singularity” and “Inflation”, offering explanations for many unresolved problems in Cosmology. WUM is presented as a natural extension of Classical Physics with the potential to bring about a significant transformation in both Cosmology and Classical Physics. Considering JWST’s discoveries, WUM’s achievements, and 87 years of Dirac’s proposals, it is time to initiate a fundamental transformation in Astronomy, Cosmology, and Classical Physics. The present paper is a continuation of the published article “JWST Discoveries—Confirmation of World-Universe Model Predictions” [2] and a summary of the paper “Hypersphere World-Universe Model: Digest of Presentations John Chappell Natural Philosophy Society” [3]. Many results obtained there are quoted in the current work without full justification;interested readers are encouraged to view the referenced papers for detailed explanations.
文摘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.
基金This work was supported by the B-type Strategic Priority Program of the Chinese Academy of Sciences(grant no.XDB41000000)the National Natural Science Foundation of China(grant nos.42025404,41704162,41974186,41674163,41904144,41904143)+1 种基金the pre-research projects on Civil Aerospace Technologies(grant nos.D020303,D020308,D020104)the China National Space Administration,and the China Postdoctoral Science Foundation Project(grant no.2019M662700).We also acknowledge the Van Allen Probes mission,particularly the ECT and EMFISIS team,for providing particle and wave data.The electron flux data were obtained from http://www.rbsp-ect.lanl.gov/data_pub/.The wave data from the EMFISIS instrument were obtained from http://emfisis.physics.uiowa.edu/data/index.The solar wind parameters and geomagnetic indices were obtained from the online OMNIWeb(http://omniweb.gsfc.nasa.gov/).
文摘Radiation belt electron dropouts indicate electron flux decay to the background level during geomagnetic storms,which is commonly attributed to the effects of wave-induced pitch angle scattering and magnetopause shadowing.To investigate the loss mechanisms of radiation belt electron dropouts triggered by a solar wind dynamic pressure pulse event on 12 September 2014,we comprehensively analyzed the particle and wave measurements from Van Allen Probes.The dropout event was divided into three periods:before the storm,the initial phase of the storm,and the main phase of the storm.The electron pitch angle distributions(PADs)and electron flux dropouts during the initial and main phases of this storm were investigated,and the evolution of the radial profile of electron phase space density(PSD)and the(μ,K)dependence of electron PSD dropouts(whereμ,K,and L^*are the three adiabatic invariants)were analyzed.The energy-independent decay of electrons at L>4.5 was accompanied by butterfly PADs,suggesting that the magnetopause shadowing process may be the major loss mechanism during the initial phase of the storm at L>4.5.The features of electron dropouts and 90°-peaked PADs were observed only for>1 MeV electrons at L<4,indicating that the wave-induced scattering effect may dominate the electron loss processes at the lower L-shell during the main phase of the storm.Evaluations of the(μ,K)dependence of electron PSD drops and calculations of the minimum electron resonant energies of H+-band electromagnetic ion cyclotron(EMIC)waves support the scenario that the observed PSD drop peaks around L^*=3.9 may be caused mainly by the scattering of EMIC waves,whereas the drop peaks around L^*=4.6 may result from a combination of EMIC wave scattering and outward radial diffusion.
