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Electromagnetic Interaction as the Possibility of Electron Collision Due to the Uncertainty Principle

Jun Iizuka

Published Feb 1, 2021• 0 citations
OpenAlex

Abstract

In previous studies, It is said that the interaction of elementary particles is caused by the absorption and emission of virtual particles as quantum fluctuations that exist under the limitation of the uncertainty principle. For example, it is said that electromagnetic interaction is generated by the exchange of virtual photons by charged particles, and Coulomb force is generated. In this paper, we suppose that the possibility of the existence of interacting ”real” particles themselves, rather than the mathematically assumed particles called ”virtual particles”, is distributed at all points in space by the uncertainty principle. And then, we try to describe how the interaction occurs due to the ”collision of possibility of existence of particle” of the particles. Also, using the semiclassical method,and heat field theory.under the condition that the density displayed by the distribution function is preserved. In this way, we discuss the transformation of quantum orbitals into systems that can be described as classical trajectory.

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Quantum Electrodynamics (QED) has been extremely successful inits predictive capability for atomic phenomena. Thus the greatest hope for any alternative view is solely to mimic the predictive capability of quantum mechanics (QM), and perhaps its usefulness will lie in gaining a better understanding of microscopic phenomena. Many “paradoxes” and problematic situations emerge in QED. To combat the QED problems, the field of Stochastics Electrodynamics (SE) emerged, wherein a random “zero point radiation” is assumed to fill all of space in an attmept to explain quantum phenomena, without some of the paradoxical concerns. SE, however, has greater failings. One is that the electromagnetic field energy must be infinit eto work. We have examined a deterministic side branch of SE, “self field” electrodynamics, which may overcome the probelms of SE. Self field electrodynamics (SFE) utilizes the chaotic nature of electromagnetic emissions, as charges lose energy near atomic dimensions, to try to understand and mimic quantum phenomena. These fields and charges can “interact with themselves” in a non-linear fashion, and may thereby explain many quantum phenomena from a semi-classical viewpoint. Referred to as self fields, they have gone by other names in the literature: “evanesccent radiation”, “virtual photons”, and “vacuum fluctuations”. Using self fields, we discuss the uncertainty principles, the Casimir effects, and the black-body radiation spectrum, diffraction and interference effects, Schrodinger's equation, Planck's constant, and the nature of the electron and how they might be understood in the present framework. No new theory could ever replace QED. The self field view (if correct) would, at best, only serve to provide some understanding of the processes by which strange quantum phenomena occur at the atomic level. We discuss possible areas where experiments might be employed to test SFE, and areas where future work may lie.

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Quantum Dynamical Probability and the Uncertainty Principle

Francesco R. Ruggeri

The uncertainty principle (linked to p,x or E,t) plays an important role in quantum mechanics. For example, an electron with an exact momentum p is described by a wavefunction exp(ipx). This function exists at all x points and so it is suggested in the literature that there is complete uncertainty as to the electron’s position. (More specifically P(x)=exp(-ipx)exp(ipx) normalization constant=constant and so all x points have the same probability.) Thus if p is completely certain, it is said that position x is completely unknown. We note, however, that exp(ipx) consists of cos(px) and sin(px) which are repeated probability distributions (with zero endpoints). Thus even though they exist in all of space, due to repetition which in turn is due to spatial invariance, there is a specific length number, namely the wavelength. Thus we argue that in classical physics there is a set of points (x,p), but in quantum mechanics ( p , x with its dx interval), with the latter being equal to hbar/p. Then the only uncertainty is within the dx interval i.e. the wavelength and spatial density is linked to momentum i.e. there is dynamical probability. In particular, there is a frequency hbar/E and a wavelength hbar/p which define an internal clock and ruler and the two are independent. Thus within a wavelength one has a probabilistic picture (in order to have endpoints defining the dx interval) and no sense of time, yet on average time exists because of hbar/E and the particle moves in space with a constant v. This begs the question: How do time and space x arise in such a scenario? We speculate the following. Assume there exists a property called energy which defines an object. This object, however, may break into two different objects. As a result, one introduces a parameter called time to distinguish between the two systems (E) and (E1,E2). For a certain time range one has a single object, while for a later time interval, one has two objects. Each of the two objects in the second system, however, needs to be distinguished as well and so another parameter, namely space x is used for this. If the two objects existed at the same x and t, how would one know there were two unless another parameter were introduced? We use t and x as the distinguishing parameters and furthermore give these a measure i.e. dt and dx. We then argue that from these ideas one may show the notion of speed and direction (because there are two objects) as well as conservation of momentum arises. Given the notion of an interval, we argue it must be described by a probability distribution and we link this to constant/p and exp(ipx). We finally note that since spatial density is linked to dynamical probability, one must consider motion associated with a density which may lead even to collective motion.

•Dec 21, 2022•0 citations

The transformation mechanism between the wave nature and particle nature of an elementary particle

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In quantum mechanics, the probabilistic interpretation, the complementarity principle (wave-particle duality), and the uncertainty principle form the foundation of the orthodox Copenhagen interpretation. However, this interpretation occasionally produces results that conflict with physical reasoning and intuition, leading to a long-standing debate that has persisted for nearly a century. Based on the conditions of action quantization and determinacy relations, this study reveals that the trajectory of an elementary particle forms a virtual line. At discrete points along this line, the particle exhibits particle-like properties, whereas in the regions between these points, the particle's existence cannot be detected. The most fundamental form of matter is the matter field. Its motion is wave-like and is described by a continuous wave equation and wave function over the entire spacetime domain. At specific spacetime points defined by xn =nh px and tn = nh E⁄ for n=1,2,3,…, the quantized matter field gives rise to the excitation and annihilation of elementary particles, indicating their discontinuous nature. This creation–annihilation process constitutes the wave motion of the matter field. The time and spatial scales associated with this process correspond to one period and one wavelength of the matter field wave, respectively. The Schrödinger equation, in this context, is understood as the non-relativistic equation of motion for a low-speed matter field. The eigenfunction of an elementary particle is, in essence, a wave function that describes the dynamic behavior of the matter field, encompassing the processes of its motion, as well as the generation and annihilation of the particle.

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Macroscopic Virtual Particles Exist

Günter Nimtz

Abstract Virtual particles are expected to occur in microscopic processes, as they are introduced, for instance, by Feynman in quantum electrodynamics as photons performing in an unknown way in the interaction between two electrons. This note describes macroscopic virtual particles as they appear in classical evanescent modes and in quantum mechanical tunnelling particles. Remarkably, these large virtual particles are present in wave mechanics of elastic, electromagnetic, and Schrödinger fields.

arXiv:1811.02410•Zeitschrift für Naturforschung A•Feb 13, 2019•2 citations

Quantum Optical Mechanics

H. J. Spencer

This is the sixth report on a new research programme investigating the electromagnetic (EM) interaction. This paper analyzes the effects of interactions arising from multiple, remote electrons on one or several, local ‘target’ electrons. These interactions are the result of the new quantized form of the EM impulse introduced in the previous paper. This model is used to re-interpret various optical effects that have previously required the existence of a fundamental object known as ‘LIGHT’: a basic entity, considered to be either a particle or a wave (or even both? - the ‘photon’) that travels across space. In contrast, this new EM model is constructed upon the key role of the ‘light’ emission processes, categorized as either oscillatory (as in antenna) or transitory (as within atoms). These real emission processes are now integrated into the asynchronous action-at-a-distance model of the EM interaction that is the basis of this new theory. Mathematically, this new model describes algebraically how variable or periodic phenomena (that have been assumed require the use of waves) can be explained by periodic, asynchronous, remote interactions between point particles without any use of differential equations (including the wave equation). This paper now extends the earlier pair-wise interaction between two electrons into the many-body world of macroscopic reality. The two key ideas of interaction saturation and selection are now introduced, which totally differentiate this theory from all other theories constructed around universal, continuous interaction (or ‘force’) models. By eliminating all the ray, wave and photon models of ‘light’ this paper now extends the original Newtonian mechanical philosophy of nature to the major domain of optics: both classical and quantum. The emphasis is on the electrons and on the relationship between electrons and not on some hypothetical ‘carrier’ that travels between them – this is the Newtonian action-at-a-distance particulate model extended to multiple times. The idea of selection leads to the introduction of information waves that identify the location and velocities of all other electrons that might participate in a ray-like exchange of momentum between pairs of electrons (saturation) that always act like particles (real trajectories across space). These supra-luminal waves do not carry momentum but ensure that the interaction minimizes the exchange of action across a non-local region of space. This new model resolves the long-time paradox of electrons as waves or particles: electrons are seen here as real point particles that interact periodically (rather than continuously) together; the focus is on the relationship between them that can be described by the discrete mathematics of particles or the periodic mathematics usually associated with waves. This paper includes the first analytical solution to the 3D scattering of two electrons – in the center-of-mass frame of reference both electrons are shown to go in quantized spiraling, conical motions: towards each other and then away from each other. The present theory provides an alternative to Feynman’s mathematical approach to “the mysterious properties of light” while providing a physical explanation for some of the calculational diagrams introduced by Feynman in his approach to quantum electrodynamics (QED). This now replaces all field theories of ‘light’ without introducing the concept of the photon or virtual particles and so eliminates all QED infinities in the physical properties associated with the interactions of electrons arising from the false idea of vacuum polarization, returning the vacuum to its Newtonian role as the passive, empty space between real particles. This new EM theory establishes a firm foundation for a new quantum theory that covers all scales of nature from the macroscopic to the heart of the atomic nucleus, while covering the complete range of interaction sets from a pair of electrons to the myriads of electrons existing in macroscopic objects. The next (companion) paper will explain the wave-like properties of electrons while providing a new, comprehensive theory of quantum measurement. This next paper will finally establish the critical link between the realistic model of the micro-world introduced so far and the macroscopic world of scientific measurements. * Surrey B.C. Canada (604) 542-2299spsi99@telus.net © H. J. Spencer Version 1.340 23-06-201Begun 23-06-2010 (pp. 133; 97Kw, 1900KB)

•Dec 1, 2016•0 citations
In previous studies, It is said that the interaction of elementary particles is caused by the absorption and emission of virtual particles as quantum fluctuations that exist under the limitation of the uncertainty principle. For example, it is said that electromagnetic interaction is generated by the exchange of virtual photons by charged particles, and Coulomb force is generated. In this paper, we suppose that the possibility of the existence of interacting ”real” particles themselves, rather than the mathematically assumed particles called ”virtual particles”, is distributed at all points in space by the uncertainty principle. And then, we try to describe how the interaction occurs due to the ”collision of possibility of existence of particle” of the particles. Also, using the semiclassical method,and heat field theory.under the condition that the density displayed by the distribution function is preserved. In this way, we discuss the transformation of quantum orbitals into systems that can be described as classical trajectory.
Quantum Electrodynamics (QED) has been extremely successful inits predictive capability for atomic phenomena. Thus the greatest hope for any alternative view is solely to mimic the predictive capability of quantum mechanics (QM), and perhaps its usefulness will lie in gaining a better understanding of microscopic phenomena. Many “paradoxes” and problematic situations emerge in QED. To combat the QED problems, the field of Stochastics Electrodynamics (SE) emerged, wherein a random “zero point radiation” is assumed to fill all of space in an attmept to explain quantum phenomena, without some of the paradoxical concerns. SE, however, has greater failings. One is that the electromagnetic field energy must be infinit eto work. We have examined a deterministic side branch of SE, “self field” electrodynamics, which may overcome the probelms of SE. Self field electrodynamics (SFE) utilizes the chaotic nature of electromagnetic emissions, as charges lose energy near atomic dimensions, to try to understand and mimic quantum phenomena. These fields and charges can “interact with themselves” in a non-linear fashion, and may thereby explain many quantum phenomena from a semi-classical viewpoint. Referred to as self fields, they have gone by other names in the literature: “evanesccent radiation”, “virtual photons”, and “vacuum fluctuations”. Using self fields, we discuss the uncertainty principles, the Casimir effects, and the black-body radiation spectrum, diffraction and interference effects, Schrodinger's equation, Planck's constant, and the nature of the electron and how they might be understood in the present framework. No new theory could ever replace QED. The self field view (if correct) would, at best, only serve to provide some understanding of the processes by which strange quantum phenomena occur at the atomic level. We discuss possible areas where experiments might be employed to test SFE, and areas where future work may lie.
The uncertainty principle (linked to p,x or E,t) plays an important role in quantum mechanics. For example, an electron with an exact momentum p is described by a wavefunction exp(ipx). This function exists at all x points and so it is suggested in the literature that there is complete uncertainty as to the electron’s position. (More specifically P(x)=exp(-ipx)exp(ipx) normalization constant=constant and so all x points have the same probability.) Thus if p is completely certain, it is said that position x is completely unknown. We note, however, that exp(ipx) consists of cos(px) and sin(px) which are repeated probability distributions (with zero endpoints). Thus even though they exist in all of space, due to repetition which in turn is due to spatial invariance, there is a specific length number, namely the wavelength. Thus we argue that in classical physics there is a set of points (x,p), but in quantum mechanics ( p , x with its dx interval), with the latter being equal to hbar/p. Then the only uncertainty is within the dx interval i.e. the wavelength and spatial density is linked to momentum i.e. there is dynamical probability. In particular, there is a frequency hbar/E and a wavelength hbar/p which define an internal clock and ruler and the two are independent. Thus within a wavelength one has a probabilistic picture (in order to have endpoints defining the dx interval) and no sense of time, yet on average time exists because of hbar/E and the particle moves in space with a constant v. This begs the question: How do time and space x arise in such a scenario? We speculate the following. Assume there exists a property called energy which defines an object. This object, however, may break into two different objects. As a result, one introduces a parameter called time to distinguish between the two systems (E) and (E1,E2). For a certain time range one has a single object, while for a later time interval, one has two objects. Each of the two objects in the second system, however, needs to be distinguished as well and so another parameter, namely space x is used for this. If the two objects existed at the same x and t, how would one know there were two unless another parameter were introduced? We use t and x as the distinguishing parameters and furthermore give these a measure i.e. dt and dx. We then argue that from these ideas one may show the notion of speed and direction (because there are two objects) as well as conservation of momentum arises. Given the notion of an interval, we argue it must be described by a probability distribution and we link this to constant/p and exp(ipx). We finally note that since spatial density is linked to dynamical probability, one must consider motion associated with a density which may lead even to collective motion.
In quantum mechanics, the probabilistic interpretation, the complementarity principle (wave-particle duality), and the uncertainty principle form the foundation of the orthodox Copenhagen interpretation. However, this interpretation occasionally produces results that conflict with physical reasoning and intuition, leading to a long-standing debate that has persisted for nearly a century. Based on the conditions of action quantization and determinacy relations, this study reveals that the trajectory of an elementary particle forms a virtual line. At discrete points along this line, the particle exhibits particle-like properties, whereas in the regions between these points, the particle's existence cannot be detected. The most fundamental form of matter is the matter field. Its motion is wave-like and is described by a continuous wave equation and wave function over the entire spacetime domain. At specific spacetime points defined by xn =nh px and tn = nh E⁄ for n=1,2,3,…, the quantized matter field gives rise to the excitation and annihilation of elementary particles, indicating their discontinuous nature. This creation–annihilation process constitutes the wave motion of the matter field. The time and spatial scales associated with this process correspond to one period and one wavelength of the matter field wave, respectively. The Schrödinger equation, in this context, is understood as the non-relativistic equation of motion for a low-speed matter field. The eigenfunction of an elementary particle is, in essence, a wave function that describes the dynamic behavior of the matter field, encompassing the processes of its motion, as well as the generation and annihilation of the particle.
Abstract Virtual particles are expected to occur in microscopic processes, as they are introduced, for instance, by Feynman in quantum electrodynamics as photons performing in an unknown way in the interaction between two electrons. This note describes macroscopic virtual particles as they appear in classical evanescent modes and in quantum mechanical tunnelling particles. Remarkably, these large virtual particles are present in wave mechanics of elastic, electromagnetic, and Schrödinger fields.
This is the sixth report on a new research programme investigating the electromagnetic (EM) interaction. This paper analyzes the effects of interactions arising from multiple, remote electrons on one or several, local ‘target’ electrons. These interactions are the result of the new quantized form of the EM impulse introduced in the previous paper. This model is used to re-interpret various optical effects that have previously required the existence of a fundamental object known as ‘LIGHT’: a basic entity, considered to be either a particle or a wave (or even both? - the ‘photon’) that travels across space. In contrast, this new EM model is constructed upon the key role of the ‘light’ emission processes, categorized as either oscillatory (as in antenna) or transitory (as within atoms). These real emission processes are now integrated into the asynchronous action-at-a-distance model of the EM interaction that is the basis of this new theory. Mathematically, this new model describes algebraically how variable or periodic phenomena (that have been assumed require the use of waves) can be explained by periodic, asynchronous, remote interactions between point particles without any use of differential equations (including the wave equation). This paper now extends the earlier pair-wise interaction between two electrons into the many-body world of macroscopic reality. The two key ideas of interaction saturation and selection are now introduced, which totally differentiate this theory from all other theories constructed around universal, continuous interaction (or ‘force’) models. By eliminating all the ray, wave and photon models of ‘light’ this paper now extends the original Newtonian mechanical philosophy of nature to the major domain of optics: both classical and quantum. The emphasis is on the electrons and on the relationship between electrons and not on some hypothetical ‘carrier’ that travels between them – this is the Newtonian action-at-a-distance particulate model extended to multiple times. The idea of selection leads to the introduction of information waves that identify the location and velocities of all other electrons that might participate in a ray-like exchange of momentum between pairs of electrons (saturation) that always act like particles (real trajectories across space). These supra-luminal waves do not carry momentum but ensure that the interaction minimizes the exchange of action across a non-local region of space. This new model resolves the long-time paradox of electrons as waves or particles: electrons are seen here as real point particles that interact periodically (rather than continuously) together; the focus is on the relationship between them that can be described by the discrete mathematics of particles or the periodic mathematics usually associated with waves. This paper includes the first analytical solution to the 3D scattering of two electrons – in the center-of-mass frame of reference both electrons are shown to go in quantized spiraling, conical motions: towards each other and then away from each other. The present theory provides an alternative to Feynman’s mathematical approach to “the mysterious properties of light” while providing a physical explanation for some of the calculational diagrams introduced by Feynman in his approach to quantum electrodynamics (QED). This now replaces all field theories of ‘light’ without introducing the concept of the photon or virtual particles and so eliminates all QED infinities in the physical properties associated with the interactions of electrons arising from the false idea of vacuum polarization, returning the vacuum to its Newtonian role as the passive, empty space between real particles. This new EM theory establishes a firm foundation for a new quantum theory that covers all scales of nature from the macroscopic to the heart of the atomic nucleus, while covering the complete range of interaction sets from a pair of electrons to the myriads of electrons existing in macroscopic objects. The next (companion) paper will explain the wave-like properties of electrons while providing a new, comprehensive theory of quantum measurement. This next paper will finally establish the critical link between the realistic model of the micro-world introduced so far and the macroscopic world of scientific measurements. * Surrey B.C. Canada (604) 542-2299spsi99@telus.net © H. J. Spencer Version 1.340 23-06-201Begun 23-06-2010 (pp. 133; 97Kw, 1900KB)