A point charge accelerating under the influence of an external force emits electromagnetic radiation that reduces the increase in its mechanical energy. This causes a reduction in the particle's acceleration. We derive the decrease in acceleration due to radiation reaction for a particle accelerating parallel to its velocity, and show that it has a negligible effect.

An alternative approach to analyze the nonrelativistic quantum dynamics of a rigid and extended charged particle taking into account the radiation reaction is discussed with detail. Interpretation of the field operators as annihilation and creation ones, theory of perturbations and renormalization are not used. The analysis is carried out in the Heisenberg picture with the electromagnetic field expanded in a complete orthogonal basis set of functions which allows the electromagnetic field to satisfy arbitrary boundary conditions. The corresponding coefficients (...) are the field operators which satisfy the usual commutation relations. A nonlinear equation of motion for the charged particle is obtained. A careful consideration of the quantum effects allows the derivation of a linear equation of motion which is free of both runaway solutions and preacceleration, even for a point charge. Also, the electromagnetic mass, which is defined as the coefficient of the acceleration operator, vanishes for a point particle. However, this does not mean that the results are free of ambiguities which are exhibited and discussed. (shrink)

It has been shown by Gupta and Padmanabhan that the radiation reaction force of the Abraham–Lorentz–Dirac equation can be obtained by a coordinate transformation from the inertial frame of an accelerating charged particle to that of the laboratory. We show that the problem may be formulated in a flat space of five dimensions, with five corresponding gauge fields in the framework of the classical version of a fully gauge covariant form of the Stueckelberg–Feynman–Schwinger covariant mechanics (the zero mode (...) fields of the 0, 1, 2, 3 components correspond to the Maxwell fields). Without additional constraints, the particles and fields are not confined to their mass shells. We show that in the mass-shell limit, the generalized Lorentz force obtained by means of the retarded Green's functions for the five dimensional field equations provides the classical Abraham–Lorentz–Dirac radiation reaction terms (with renormalized mass and charge). We also obtain general coupled equations for the orbit and the off-shell dynamical mass during the evolution as well as an autonomous non-linear equation of third order for the off-shell mass. The theory does not admit radiation if the particle does not move off-shell. The structure of the equations implies that mass-shell deviation is bounded when the external field is removed. (shrink)

We examine the problem of deducing the geodesic motion of test particles from Einstein's vacuum field equations and its extension to include gravitational radiation reaction. In the latter case we obtain an equation of motion for a particle which incorporates radiation reaction of the electrodynamical type, but due to shearing radiation, together with a mass-loss formula of the Bondi-Sachs type.

The complete description of the interaction between an external electromagnetic field and a charged particle causing it to radiate is one of the most fundamental problems in classical electrodynamics. Here we provide a simple coupled model that describes via the Lagrangian of the physical system the full radiation reaction process resulting from the particle–field interactions which simulate the electromagnetic ones. The particle and field evolution equations obtained from the Lagrangian are studied as an initial value problem giving rise (...) to the particle's radiation reaction equation, which includes the complete interaction with the field. Using stability theory we analyze this equation and prove that every solution is global uniform asymptotically stable, evidencing that the particle coupled to the field radiates. The model proves to be interesting, for it clearly illustrates the particle–field interaction process and shows the radiation's origin. (shrink)

The self force of electrodynamics is derived from a scalar field. The resulting equation of motion is free of all of the problems that plague the Lorentz Abraham Dirac equation. The age-old problem of a particle in a constant field is solved and the solution has intuitive appeal.

In order to understand the rise of runaway solutions in the radiation reaction problem a mechanical model is used. An alternative demonstration of Daboul’s theorem, through Hurwitz’s criterion, is given. The origin of runaway solutions in electrodynamics is discussed. They arise when the particle has a negative mechanical mass or when approximations are used in the equation of motion. In the 1-dimensional mechanical model an exact and linear equation of motion for the particle is obtained, the corresponding exact (...) solution is again runaway when the mechanical mass is negative. The exact solution is not runaway when the mechanical mass is positive. However, the use of approximations leads to an equation of motion which has runaway solutions. It is exhibited that the use of approximations in the 3-dimensional mechanical model is completely necessary because the general equation of motion for the particle is non-linear. The analysis of this case proceeds in a very similar way to the one carried out in electrodynamics. This means that the number of dimensions also plays an important role in the analysis. (shrink)

It is shown that the well-known disparity in classical electrodynamics between the power losses calculated from the radiation reaction and that from Larmor’s formula, is succinctly understood when a proper distinction is made between quantities expressed in terms of a “real time” and those expressed in terms of a retarded time. It is explicitly shown that an accelerated charge, taken to be a sphere of vanishingly small radius \, experiences at any time a self-force proportional to the acceleration (...) it had at a time \ earlier, while the rate of work done on the charge is obtained by a scalar product of the self-force with the instantaneous value of its velocity. Now if the retarded value of acceleration is expressed in terms of the present values of acceleration, then we get the rate of work done according to the radiation reaction equation, however if we instead express the present value of velocity in terms of its time-retarded value, then we get back the familiar Larmor’s radiation formula. From this simple relation between the two we show that they differ because Larmor’s formula, in contrast with the radiation reaction, is written not in terms of the real-time values of quantities specifying the charge motion but is instead expressed in terms of the time-retarded values. Moreover, it is explicitly shown that the difference in the two formulas for radiative power loss exactly matches the difference in the temporal rate of the change of energy in the self-fields between the retarded and real times. From this it becomes obvious that the ad hoc introduction of an acceleration-dependent energy term, usually referred to in the prevalent literature as Schott-term, in order to make the two formulas comply with each other, is redundant. (shrink)

We investigate in detail the electromagnetic fields of a uniformly accelerated charge, in order to ascertain whether such a charge does ‘emit’ radiation, especially in view of the Poynting flow computed at large distances and taken as an evidence of radiation emitted by the charge. In this context, certain important aspects of the fields need to be taken into account. First and foremost is the fact that in the case of a uniformly accelerated charge, one cannot ignore the (...) velocity fields. This then leads to other equally vital points. The net field energy turns out to be exactly the same as that of a non-accelerated charge having a uniform velocity equal to the instantaneous velocity of the uniformly accelerated charge. Further, the Poynting vector, seen with respect to the ’present’ location of the uniformly accelerated charge, during the deceleration phase, possesses everywhere a radial component pointing inward toward the charge, becoming nil when the charge becomes momentarily stationary, and during the acceleration phase, points away from the charge position. Last, but not least, when the leading spherical front of the relativistically beamed Poynting flux, advances forward at a large time t to a far-off distance \, the charge too is not lagging far behind. In fact, these relativistically beamed fields, increasingly resemble fields of a charge moving in an inertial frame with a uniform velocity \, with a convective flow of fields in that frame along with the movement of the charge. There is no other Poynting flow in the far-zones that could be termed as radiation emitted by the charge which, in turn, is fully consistent with the absence of radiation reaction and is also fully conversant with the strong principle of equivalence. (shrink)

We present a stochastic theory for the nonequilibriurn dynamics of charges moving in a quantum scalar field based on the worldline influence functional and the close-time-path (CTP or in-in) coarse-grained effective action method. We summarize (1) the steps leading to a derivation of a modified Abraham-Lorentz-Dirac equation whose solutions describe a causal semiclassical theory free of runaway solutions and without pre-acceleration patholigies, and (2) the transformation to a stochastic effective action, which generates Abraham-Lorentz-Dirac-Langevin equations depicting the fluctuations of a particle’s (...) worldline around its semiclassical trajectory. We point out the misconceptions in trying to directly relate radiation reaction to vacuum fluctuations, and discuss how, in the framework that we have developed, an array of phenomena, from classical radiation and radiation reaction to the Unruh effect, are interrelated to each other as manifestations at the classical, stochastic and quantum levels. Using this method we give a derivation of the Unruh effect for the spacetime worldline coordinates of an accelerating charge. Our stochastic particle-field model, which was inspired by earlier work in cosmological backreaction, can be used as an analog to the black hole backreaction problem describing the stochastic dynamics of a black hole event horizon. (shrink)

We argue that the asymmetry between diverging and converging electromagnetic waves is just one of many asymmetries in observed phenomena that can be explained by a past hypothesis and statistical postulate (together assigning probabilities to different states of matter and field in the early universe). The arrow of electromagnetic radiation is thus absorbed into a broader account of temporal asymmetries in nature. We give an accessible introduction to the problem of explaining the arrow of radiation and compare our (...) preferred strategy for explaining the arrow to three alternatives: (i) modifying the laws of electromagnetism by adding a radiation condition requiring that electromagnetic fields always be attributable to past sources, (ii) removing electromagnetic fields and having particles interact directly with one another through retarded action-at-a-distance, (iii) adopting the Wheeler-Feynman approach and having particles interact directly through half-retarded half-advanced action-at-a-distance. In addition to the asymmetry between diverging and converging waves, we also consider the related asymmetry of radiation reaction. (shrink)

A new scheme is proposed in order to deduce an equation of motion for a spinless charged point particle leading to an equivalent Landau–Lifshitz equation of motion. Consequently Larmor’s formula must be substituted by a new expression for the large distance radiation rate of energy. A constraint appears on the applicability of the Maxwell electromagnetic tensor. The particular case of a sudden force is analyzed in order to show the physical results predicted by the new model. A geometrical rearrangement (...) of the energy explains the balance. (shrink)

The equivalence principle as well as the spin-two character of the weak gravitational field lead to difficulties in the measurability analysis of this field which are not encountered in Bohr and Rosenfeld's corresponding inquiry into the electromagnetic field. To meet these difficulties, atomic elastic structures are proposed as gravitational field detectors whose parameters (masses, total volumes, lattice and elastic constants) are adjustable. The limitations imposed by the uncertainty principle and by the radiation reaction of the detectors on the (...) determination of the amplitude, frequency, and direction of the field are then exhibited. Finally, the relevance of the present work to the investigation of DeWitt and to Einstein's full theory of gravitation is briefly considered. (shrink)

The appearance of the time derivative of the acceleration in the equation of motion (EOM) of an electric charge is studied. It is shown that when an electric charge is accelerated, a stress force exists in the curved electric field of the accelerated charge, and in the case of a constant linear acceleration, this force is proportional to the acceleration. This stress force acts as a reaction force which is responsible for the creation of the radiation (instead of (...) the “radiation reaction force” that actually does not exist at low velocities). Thus the initial acceleration should be supplied as an initial condition for the solution of the EOM of an electric charge. (shrink)

Environmental heterogeneity is invoked as a key explanatory factor in the adaptive evolution of a surprisingly wide range of phenomena. This article aims to analyze this explanatory scheme of categorizing traits or properties as adaptations to environmental heterogeneity. First it is suggested that this scheme can be understood as a reaction to how heterogeneity adaptations were discounted or ignored in the modern synthesis. Then a positive account is proposed, distinguishing between two broad categories of adaptation to environmental heterogeneity: properties (...) selected for by well-defined patterns of environmental heterogeneity, and properties that help organisms exploit novel patterns of environmental heterogeneity. (shrink)

This paper is a review of the canonical proper-time approach to relativistic mechanics and classical electrodynamics. The purpose is to provide a physically complete classical background for a new approach to relativistic quantum theory. Here, we first show that there are two versions of Maxwell’s equations. The new version fixes the clock of the field source for all inertial observers. However now, the (natural definition of the effective) speed of light is no longer an invariant for all observers, but depends (...) on the motion of the source. This approach allows us to account for radiation reaction without the Lorentz-Dirac equation, self-energy (divergence), advanced potentials or any assumptions about the structure of the source. The theory provides a new invariance group which, in general, is a nonlinear and nonlocal representation of the Lorentz group. This approach also provides a natural (and unique) definition of simultaneity for all observers.The corresponding particle theory is independent of particle number, noninvariant under time reversal (arrow of time), compatible with quantum mechanics and has a corresponding positive definite canonical Hamiltonian associated with the clock of the source.We also provide a brief review of our work on the foundational aspects of the corresponding relativistic quantum theory. Here, we show that the standard square-root and Dirac equations are actually two distinct spin- $\frac{1}{2}$ particle equations. (shrink)

The reaction of Italian physicists to the innovations of the ‘new physics’ has been studied by analysing their scientific production and their textbooks. Their stand appears to have been the result of several components: absence or weakness of lines of research in the last three decades of the nineteenth century ; firm attachment to the conceptual and philosophical foundations of classical mechanics; and hostility to the quantization of energy. The consequence has been a widening of the gap between the (...) research done in Italy and the main lines of development of the discipline. (shrink)

The Belousov-Zhabotinsky reaction is a far-from-equilibrium reaction involving bromine and citric acid that results in the establishment of a nonlinear chemical oscillator. In addition to providing a paradigmatic chemical model of nonequilibrium biological phenomena, the mathematical models of the BZ reaction are theoretically interesting. The present article concentrates on the personal trajectory of Boris Pavlovich Belousov ; it attempts to explain what, in his routine work in applied and industrial chemistry, could have induced his discovery. The second (...) section describes Belousov’s reaction as presented in his short paper in the proceedings of the institute where he was employed , this being the only paper on his reaction that he was able to publish during his lifetime. The third section presents Belousov’s biography. I then discuss Belousov’s biography in the light of the paper representing his reaction. I have tried to find the prerequisites of Belousov’s discovery in his research in analytical chemistry and in toxicology and radiation medicine . The sixth section attempts an explanation of the ideological underpinning of Belousov’s reaction—the dialectics of continuity and discontinuity popular among Soviet scholars at that time. (shrink)

We present an approach to understanding the origin of inertia involving the electromagnetic component of the quantum vacuum and propose this as a step toward an alternative to Mach's principle. Preliminary analysis of the momentum flux of the classical electromagnetic zero-point radiation impinging on accelerated objects as viewed by an inertial observer suggests that the resistance to acceleration attributed to inertia may be at least in part a force of opposition originating in the vacuum. This analysis avoids the ad (...) hoc modeling of particle-field interaction dynamics used previously by Haisch, Rueda, and Puthoff (Phys. Rev. A 49, 678, (1994)) to derive a similar result. This present approach is not dependent upon what happens at the particle point, but on how an external observer assesses the kinematical characteristics of the zero-point radiation impinging on the accelerated object. A relativistic form of the equation of motion results from the present analysis. Its manifestly covariant form yields a simple result that may be interpreted as a contribution to inertial mass. We note that our approach is related by the principle of equivalence to Sakharov's conjecture (Sov. Phys. Dokl. 12, 1040, (1968)) of a connection between Einstein action and the vacuum. The argument presented may thus be construed as a descendant of Sakharov's conjecture by which we attempt to attribute a mass-giving property to the electromagnetic component—and possibly other components—of the vacuum. In this view the physical momentum of an object is related to the radiative momentum flux of the vacuum instantaneously contained in the characteristic proper volume of the object. The interaction process between the accelerated object and the vacuum (akin to absorption or scattering of electromagnetic radiation) appears to generate a physical resistance (reaction force) to acceleration suggestive of what has been historically known as inertia. (shrink)

We analyze the situation of an observer coaccelerated relative to a linearly accelerated charge, in order to find whether he can observe the radiation emitted from the accelerated charge. It is found that the seemingly special situation of the coaccelerated observer relative to any other observer, is deduced from a wrong use of the retarded coordinate system, when such a system is inadmissible. It is also found that the coaccelerated observer has no special position other than any other observer, (...) and hence, he can observe any physical events as any other observer. (shrink)

We consider the simple case of a nonrelativistic charged harmonic oscillator in one dimension, to investigate how to take into account the radiation reaction and vacuum fluctuation forces within the Schrödinger equation. The effects of both zero-point and thermal classical electromagnetic vacuum fields, characteristic of stochastic electrodynamics, are separately considered. Our study confirms that the zero-point electromagnetic fluctuations are dynamically related to the momentum operator p=−i ℏ ∂/∂ x used in the Schrödinger equation.

In this paper, we construct a parallel image of the conventional Maxwell theory by replacing the observer-time by the proper-time of the source. This formulation is mathematically, but not physically, equivalent to the conventional form. The change induces a new symmetry group which is distinct from, but closely related to the Lorentz group, and fixes the clock of the source for all observers. The new wave equation contains an additional term (dissipative), which arises instantaneously with acceleration. This shows that the (...) origin of radiation reaction is not the action of a “charge” on itself but arises from inertial resistance to changes in motion. This dissipative term is equivalent to an effective mass so that classical radiation has both a massless and a massive part. Hence, at the local level the theory is one of particles and fields but there is no self-energy divergence (nor any of the other problems). We also show that, for any closed system of particles, there is a global inertial frame and unique (invariant) global proper-time (for each observer) from which to observe the system. This global clock is intrinsically related to the proper clocks of the individual particles and provides a unique definition of simultaneity for all events associated with the system. We suggest that this clock is the historical clock of Horwitz, Piron, and Fanchi. At this level, the theory is of the action-at-a-distance type and the absorption hypothesis of Wheeler and Feynman follows from global conservation of energy. (shrink)

Consideration of the velocity-field momentum of an accelerating charged particle leads to an explanation of the Schott force accompanying the radiation reaction.

The effects of the vacuum electromagnetic fluctuations and the radiation reaction fields on the time development of a simple microscopic system are identified using a new mathematical method. This is done by studying a charged mechanical oscillator (frequency Ω 0)within the realm of stochastic electrodynamics, where the vacuum plays the role of an energy reservoir. According to our approach, which may be regarded as a simple mathematical exercise, we show how the oscillator Liouville equation is transformed into a (...) Schrödinger-like stochastic equation with a free parameter h′ with dimensions of action. The role of the physical Planck's constant h is introduced only through the zero-point vacuum electromagnetic fields. The perturbative and the exact solutions of the stochastic Schrödinger-like equation are presented for h′>0. The exact solutions for which h′<h are called sub-Heisenberg states. These nonperturbative solutions appear in the form of Gaussian, non-Heisenberg states for which the initial classical uncertainty relation takes the form 〈(δx 2)〉〈(δp) 2 〉=(h′/2) 2,which includes the limit of zero indeterminacy (h → 0). We show how the radiation reaction and the vacuum fields govern the evolution of these non-Heisenberg states in phase space, guaranteeing their decay to the stationary state with average energy hΩ 0 /2 and 〈(δx) 2 〉〈(δp) 2 〉=h 2 /4 at zero temperature. Environmental and thermal effects-are briefly discussed and the connection with similar works within the realm of quantum electrodynamics is also presented. We suggest some other applications of the classical non-Heisenberg states introduced in this paper and we also indicate experiments which might give concrete evidence of these states. (shrink)

We revisit the nonrelativistic problem of a bound, charged particle subject to the random zero-point radiation field, with the purpose of revealing the mechanism that takes it from the initially classical description to the final quantum-mechanical one. The combined effect of the zpf and the radiation reaction force results, after a characteristic time lapse, in the loss of the initial conditions and the concomitant irreversible transition of the dynamics to a stationary regime controlled by the field. In (...) this regime, the canonical variables x, p become expressed in terms of the dipolar response functions to a set of field modes. A proper ordering of the response coefficients leads to the matrix representation of quantum mechanics, as was proposed in the early days of the theory, and to the basic commutator x^,p^=iħ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left[ {\hat{x}},{\hat{p}}\right] =i\hbar $$\end{document}. Further, the connection with the corresponding Fokker–Planck equation valid in the Markov approximation, allows one to obtain the radiative corrections of qed. These results reaffirm the essentially electrodynamic and stochastic nature of the quantum phenomenon, as proposed by stochastic electrodynamics. (shrink)

In this third paper in a series on stochastic electrodynamics (SED), the nonrelativistic dipole approximation harmonic oscillator-zero-point field system is subjected to an arbitrary classical electromagnetic radiation field. The ensemble-averaged phase-space distribution and the two independent ensemble-averaged Liouville or Fokker-Planck equations that it satisfies are derived in closed form without furtner approximation. One of these Liouville equations is shown to be exactly equivalent to the usual Schrödinger equation supplemented by small radiative corrections and an explicit radiation reaction (...) (RR) vector potential that is similar to the Crisp-Jaynes semiclassical theory (SCT) RR potential. The wave function in this SED Schrödinger equation is shown to have thea priori significance of position probability amplitude. The other Liouville equation has no counterpart in ordinary quantum mechanics, and is shown to restrict initial conditions such that (i) The Wigner-type phase-space distribution is always positive, (ii) in the absence of an applied field, the only allowed solution of both equations is the quantum ground state, and (iii) if a previously applied field is suddenly turned off, then spontaneous transitions occur, with no need for a triggering perturbation as in SCT, until the system is in the ground state. It is also shown that the oscillator energy is a fluctuating quantity that must take on a continuum of values, with average value equal to the quantum ground-state energy plus a contribution due to the applied classical field. (shrink)

This is the first in a series of papers that present a new classical statistical treatment of the system of a charged harmonic oscillator (HO) immersed in an omnipresent stochastic zero-point (ZP) electromagnetic radiation field. This paper establishes the Gaussian statistical properties of this ZP field using Bourret's postulate that all statistical moments of the stochastic field plane waves at a given space-time point should agree with their corresponding quantized field vacuum expectations. This postulate is more than adequate to (...) derive the Planck spectrum classically via Boyer's and Theimer's methods, but it requires that the stochastic amplitude of each linearly polarized plane wave in the field contain two independent Gaussian random variables, not just a random phase as has sometimes been assumed. In the succeeding papers in the series, the total motion of a charged HO is described by a fully renormalized dipole-approximation Abraham-Lorentz equation. This leads without further approximation to the following major results concerning this stochastic electrodynamics (SED) of the HO: i) The ensemble-average Liouville equation for the oscillator-ZP field system in the presence of an arbitrary applied classical radiation field is exactly equivalent to the usual time-dependent Schrödinger equation supplemented by an explicit radiation reaction vector potential similar to that of the Crisp-Jaynes-Stroud theory; ii) this SED Schrödinger equation for the HO is incomplete, insmuch as there exists a companion equation that restricts initial conditions such that the corresponding Wigner phase-space distribution is always positive; iii) the wave function of the SED Schrödinger equation has thea priori significance of position probability amplitude; iv) first-order transition rates predicted for the HO by this theory agree with those predicted by quantum electrodynamics for resonance absorption and spontaneous emission, which occurs with no triggering necessary; and v) if SED is taken seriously, then the concepts of quantized energies and photons must be abandoned. (shrink)

In this second paper in a series on stochastic electrodynamics the system of a charged harmonic oscillator (HO) immersed in the stochastic zero-point field is analyzed. First, a method discussed by Claverie and Diner and Sanchez-Ron and Sanz permits a finite closed form renormalization of the oscillator frequency and charge, and allows the third-order Abraham-Lorentz (AL) nonrelativistic equation of motion, in dipole approximation, to be rewritten as an ordinary second-order equation, which thereby admits a conventional phase-space description and precludes the (...) runaway solutions of the AL equation. Second, following several authors, a momentum is defined that reduces to the usual canonical momentum in the limit of no radiation reaction, and the statistical moments of the oscillator position and this momentum are calculated in closed form to all orders of the radiative corrections. As has been shown by many authors, the velocity second moment is unbounded; semiquantitative arguments are given to support the conjecture that the use of the point-particle dipole approximation is responsible for this divergence. Third, it is shown that, to zeroth order in the radiative corrections, the renormalized HO has the same expectation energy found by other authors, that of the quantum ground state. (shrink)

The connection between stochastic electrodynamics (SED) and the quantum theory of matter is further explored. The main result is that the Fokker-Planck-like equation of SED can be recast into the form of a Schrödinger equation with radiative corrections, when the system is close to a state of equilibrium. The phase-space distribution can be written as Wigner's pseudo-distribution plus corrections due to the nonlinearity of the external force and to radiative effects. The radiative corrections predicted by the theory, namely the Lamb (...) shift and the decay of excited atomic states, coincide with those predicted by QED. Moreover, the theory offers a clear physical interpretation of these phenomena as due to the coupling of the electric dipole of the system with the zero-point radiation field and to radiation reaction, respectively. (shrink)

We derive, from the Einstein-Maxwell field equations, the Lorentz equations of motion with radiation reaction for a charged mass particle moving in a background gravitational and electromagnetic field by utilizing a line element for the background space-time in a coordinate system specially adapted to the world line of the particle. The particle is introduced via perturbations of the background space-time (and electromagnetic field) which are singular only on the source world line.

In the traditional frame of classical electrodynamics, a hydrogen atom would emit electromagnetic waves and thus constantly lose energy, resulting in the fall of the electron on the proton over a finite period of time. The corresponding results were derived under the assumption of the instantaneous interaction between the proton and the electron. In 2004, Raju published a paper where he removed the assumption of the instantaneous interaction and studied the role of a time delay in the classical hydrogen atom. (...) He introduced a model of this effect that can be solved analytically. He calculated the radius rsel of a selected orbit, for which this effect and the radiation reaction force would cancel each other with respect to the tangential acceleration. It turned out that rsel is by an order of magnitude smaller than the Bohr radius. In the present paper we use Raju’s model for the corresponding gravitational situation. In frames of Newton’s gravity, we calculate analytically the radius and the energy Esel of a selected orbit, for which the retardation effect and the radiation reaction force would cancel each other out with respect to the tangential acceleration. Then we compare our outcome with some results of Kaplan’s solution for the two-body gravitational problem based on the Schwarzschild’s field. We show that Esel is very close to the minimum energy of bound states obtained by Kaplan in Einstein’s gravity. We emphasize that the selected orbit from the present paper represents the second only physical situation where the radiation reaction force is zero, but the radiation-caused energy loss is not zero. (shrink)

The effects of the vacuum electromagnetic fluctuations and the radiation reaction fields on the time development of a simple microscopic system are identified using a new mathematical method. This is done by studying a charged mechanical oscillator (frequency Ω 0)within the realm of stochastic electrodynamics, where the vacuum plays the role of an energy reservoir. According to our approach, which may be regarded as a simple mathematical exercise, we show how the oscillator Liouville equation is transformed into a (...) Schrödinger-like stochastic equation with a free parameter h′ with dimensions of action. The role of the physical Planck's constant h is introduced only through the zero-point vacuum electromagnetic fields. The perturbative and the exact solutions of the stochastic Schrödinger-like equation are presented for h′>0. The exact solutions for which h′radiation reaction and the vacuum fields govern the evolution of these non-Heisenberg states in phase space, guaranteeing their decay to the stationary state with average energy hΩ 0 /2 and 〈(δx) 2 〉〈(δp) 2 〉=h 2 /4 at zero temperature. Environmental and thermal effects-are briefly discussed and the connection with similar works within the realm of quantum electrodynamics is also presented. We suggest some other applications of the classical non-Heisenberg states introduced in this paper and we also indicate experiments which might give concrete evidence of these states. (shrink)

In this paper the analysis of the classical dynamics of a charged particle is carried out without considering that the electromagnetic field necessarily goes to zero at infinity. A quite general non-linear equation of motion is obtained for an extended charged particle valid for any distribution of charge in the particle and for an electromagnetic field satisfying any boundary conditions. Some common approximations are analyzed with detail to determine how the usual difficulties arise.

I give a fairly systematic and thorough presentation of the case for regarding black holes as thermodynamic systems in the fullest sense, aimed at students and non-specialists and not presuming advanced knowledge of quantum gravity. I pay particular attention to the availability in classical black hole thermodynamics of a well-defined notion of adiabatic intervention; the power of the membrane paradigm to make black hole thermodynamics precise and to extend it to local-equilibrium contexts; the central role of Hawking radiation in (...) permitting black holes to be in thermal contact with one another; the wide range of routes by which Hawking radiation can be derived and its back-reaction on the black hole calculated; the interpretation of Hawking radiation close to the black hole as a gravitationally bound thermal atmosphere. In an appendix I discuss recent criticisms of black hole thermodynamics by Dougherty and Callender. This paper confines its attention to the thermodynamics of black holes; a sequel will consider their statistical mechanics. (shrink)

Impressions, energy radiated by phenomena in the momentary environmental scene, enter sensory neurons, creating in afferent nerves a data stream. Following Kant, by our inner sense the mind perceives its own thoughts as it ties together sense data into an internalized scene. The mind, residing in the brain, logically a Language Machine, processes and stores items as coded grammatical entities. Kantian synthetic unity in the linguistic brain is able to deliver our experience of the scene as we appear to see (...) it. Uniquely, the brain records its own history, synthesizing a Movie-in-the-Brain, called the Noumenal Cosmos. Attempting thereby to represent the actual Universe, this makes for a sovereign brain that governs itself. The brain is domicile of an Ego, with its selfhood at stake at all times. Yet, it can know itself only by its actions, in which it appears as an actor in its own movie. Phenomena enter garbled, as confused apparitions, and must be put in good form using top–down feedback control by Ego, so that each movie frame makes rational sense within the overall context of the Noumenal Cosmos. A stack of frames is processed typically in 40 Hz rhythm with 300 ms process time each, for about 12 in the stack at any time. Successive neural centers are processing the stack in the brain assembly line, based on data from increasingly global receptive fields. Ego stitches together the movie frames, but only the top frame is in consciousness for 25 ms. The top frame contains the whole scene where the Ego makes an appearance as the actor that imposes Kantian synthetic unity on the scene, merely an assembly of grammatical texts, in a system-internal coded process language, fitting the scene into the Noumenal Cosmos. But Ego observes Ego only to the extent permitted by the objectivity rule, only what it does and thinks, not its true face. From the Noumenal Cosmos, the Ego receives grammatical messages in the internal sense code. They are integrated into a whole in the reaction of the Ego to the momentary scene. The voluntary nature of Ego’s decisions is explained, based on its ability to code in advance its own actions sequentially in time, as it sees fit with a view to an orderly Noumenal Cosmos, records of code being arranged spatially in neural structures. (shrink)

The physical, mathematical, and philosophical foundations of the quantum theory of free Bose fields in fixed general relativistic spacetimes are examined. It is argued that the theory is logically and mathematically consistent whereas semiclassical prescriptions for incorporating the back-reaction of the quantum field on the geometry lead to inconsistencies. Still, the relations and heuristic value of the semiclassical approach to canonical and covariant schemes of quantum gravity-plus-matter are assessed. Both conventional and rigorous formulations of the theory and of its (...) principal predictions, cosmological particle creation and horizon radiation, are expounded and compared. Special attention is devoted to spacetime properties needed for the existence or uniqueness of the relevant theoretical elements , renormalization of the stress tensor). The emergence of unitarily inequivalent representations in a single dynamical context is used as motivation for the introduction of the abstract $\rm C\sp{\*}$-algebraic axiomatic formalism. The operationalist and conventionalist claims of the original abstract algebraic program are criticized in favor of its tempered outgrowth, local quantum physics. The interpretation of the theory as a wave mechanics of classical field configurations, deriving from the Schrodinger representations of the abstract algebra, is discussed and is found superior, at least on the level of analogy, to particle or harmonic oscillator interpretations. Further, it is argued that the various detector results and the Fulling nonuniqueness problem do not undermine the particle concept in the ways commonly claimed. In particular, arguments are offered against the attribution of particle status to the Rindler quanta, against the physical realizability of the Rindler vacuum, and against the more general notion of observer-dependence as to the definition of 'particle' or 'vacuum'. However, the question of the ontological status of particles is raised in terms of the consistency of quantum field theory with non-reductive realism about particles, the latter being conceived as entities exhibiting attributes of discreteness and localizability. Two arguments against non-reductive realism about particles, one from axiomatic algebraic local quantum theory in Minkowski spacetime and one from quantum field theory in curved spacetime, are developed. (shrink)

The teikei movement is a Japanese version of the alternative food movement, which emerged around the late 1960s and early 1970s. Similar to now well-known Community Supported Agriculture, it is a farmer-consumer partnership that involves direct exchanges of organic foods. It also aims to build a community that coexists with the natural environment through mutually supportive relationships between farmers and consumers. This article examined the history of the teikei movement. The movement began as a reaction to negative impacts of (...) mechanized and chemically intensive agriculture promoted by the Japanese government. The movement experienced a rapid expansion in the early 1980s, and then gradually declined thereafter. The organic market expansion and certification system intersected with both cultural and gender role changes, impacting the teikei movement negatively. Consequently, the membership of teikei consumer groups has shrunk. Furthermore, the March 2011 Fukushima Daiichi nuclear power plant accident caused unprece dented damage to organic farmers in the affected regions. Despite the scientific uncertain about the safety level of radiation exposure, the organic farmers and the teikei consumer groups managed the situation and found a way to inspect radiation contamination. They did so with the support by networking with other teikei-related actors. This response to the nuclear power plant accident suggests that although the level of embeddedness presumably varies among teikei actors, ethics guided by the teikei principles are effective in forging a resilient partnership between farmers and consumers and in keeping the teikei system alive as an agent for social change. (shrink)

SummaryThe convening of the first three Solvay Chemistry Conferences in Brussels from 1922–1928 marked an important turning point for the discipline of chemistry. Whereas much of nineteenth-century chemical endeavour had focused on compositional and functional analysis of chemical compounds, many leaders in chemistry were turning to questions of molecular dynamics by the early twentieth century. Two competing schools of chemical dynamics, which were represented at the Solvay Conferences, were a predominantly English group (Lowry, Lapworth, Robinson, Ingold) who worked out electron (...) and ionic interpretations of organic reaction mechanisms, and a French group (Perrin, Job) who developed a generalized radiation hypothesis of reaction activation. While differences in conceptual and stylistic approach separated the two schools, they agreed on the need to apply contemporary physical theory to old chemical problems, and to develop a theoretical chemistry complementary to theoretical physics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Kennedy Institute of Ethics Journal 12.1 (2002) 95-102 [Access article in PDF] Bioethics Inside the Beltway Some Initial Reflections on NBAC Eric M. Meslin and Harold T. Shapiro On 3 October 2001, Executive Order 12975 expired, and with it so too did the National Bioethics Advisory Commission (NBAC). Established by President Bill Clinton in 1995, NBAC was the fifth national committee since 1974 created to advise the U.S. government (...) on bioethics policy. In the long political tradition in this country that national bioethics policy advice should use temporary rather than permanent bodies, NBAC followed in the footsteps of the National Commission for the Protection of Human Subjects of Biomedical and Behavioral Research (1974-78); the President's Commission for the Study of Ethical Problems in Medicine and Biomedical and Behavioral Research (1980-83); the Ethics Advisory Board (1978-80); and the Biomedical Ethics Advisory Committee (1988-89). Arguably, other distinguished panels could lay claim to recognition as a "national bioethics committee" including the Advisory Committee on Human Radiation Experiments (ACHRE) (1994-95); the Fetal Tissue Transplantation Research Panel (1988); the Human Embryo Research Panel (1994); and the National Institutes of Health (NIH) Recombinant DNA Advisory Committee (RAC), which continues to function.These committees and commissions form a kind of a continuum, albeit occasionally interrupted by periods during which no such bodies existed. Each arose from a particular confluence of events and circumstances. NBAC was no different; its history can be traced both to a series of discussions within the White House Office of Science and Technology Policy beginning in 1993 (NBAC 1998a, p. 3), and to a specific recommendation from ACHRE that called for a national committee to address ethical issues in human subjects research (ACHRE 1995, p. 817). Nbac's Impact In his useful comparison of the accomplishments of the National Commission and the President's Commission, Brad Gray concluded that seven lessons were learned, the sixth of which was that "nothing substitutes for having a perceptible impact on either policy or practice" (Gray 1995, p. 304). Assessing NBAC's [End Page 95] impact on "policy or practice" is difficult, particularly given the fact that it so recently completed its work. More time may be needed before a full assessment can be undertaken of the impact of its six reports (and their total of 120 recommendations). Instead, in this essay we offer some reflections on NBAC's initial impact, using some specific examples of how bioethics gets done Inside the Beltway. Eliciting Reaction If immediate reaction by the White House is any measure of impact, then Cloning Human Beings (NBAC 1997) had a significant one. The day after he received this report in a Rose Garden ceremony, President Clinton submitted a bill to Congress that would have extended the moratorium on federal funding to create a child using somatic cell nuclear transfer. This bill never passed, nor has any other bill emerged that has enjoyed the support of the House and the Senate. Five states have enacted legislation to date, but these vary in their permissibility from bans on all forms of cloning to bans similar to the one proposed by NBAC, which recommended a time-limited prohibition only on somatic cell transfer to create a child (reproductive cloning).If the Cloning report elicited speedy action from the White House, this paled in comparison to the reaction that led to and, in turn, was created by Ethical Issues in Human Stem Cell Research (NBAC 1999a). Those who believe that government moves slowly need only be reminded of the events of 8-14 November 1998 (and, as we shall mention below, the further events of 14 July 1999). Some will recall that early in the second week of November 1998, James Thomson and his colleagues published in Nature and John Gearhart and his colleagues published in the Proceedings of the National Academy of Sciences that they had isolated and cultured human primordial stem cells and germ cells respectively. Within days of these remarkable reports, Advanced Cell Technology (ACT) announced via an article written by Nicholas Wade in the... (shrink)

A previous model for treating electromagnetic nonlinear wave systems is examined in the context of wave mechanics. It is shown that nonlinear wave mechanics implies harmonic generation of new quasiparticle wave functions, which are absent in linear systems. The phenomenon is interpreted in terms of pair (and higher order ensembles) coherence of the interacting particles. The implications are far-reaching, and the present approach might contribute toward a common basis for diverse physical phenomena involving nonlinearity. An intimate relationship connecting coherence, nonlocal (...) interaction, and nonlinearity has been previously noticed in the physics of superconductivity. It is shown here that all these ingredients are consistently contained in the present formalism. The present theory may contribute to elucidate a controversial theory proposed by Panarella, who claims to have measured high-energy photons due to high-intensity laser radiation, which cannot be predicted on the basis of linear quantum theory. Panarella explains the new phenomena by stipulating a nonlinear intensity-dependent photon energy. It is argued here that nonlinearity, manifested in the presence of high intensity, may give rise to high- and low-energy photons, the so-called “effective” and “tired” photons, respectively. However, the present explanation does not involve ad hoc assumptions regarding the foundations of quantum theory. In analogy with the electrodynamic model, the present theory leads to particulate self-focusing in high-density streams of particles. Since such particulate beams are currently under consideration in connection with fusion reactions, this might be of future interest. (shrink)

This work presents a distributed generation system that combines system of a wind turbine and photovoltaic using a unified power quality conditioner. Along with providing active power to the utility grid, Wind-PV-UPQC improves PQ indicators, for example, voltage drops/surges, harmonics of grid voltages, and PF. Since Wind-PV-UPQC depends on dual compensation scheme, the parallel converter works as a sinusoidal voltage source, while the series converter works as a sinusoidal current source. In this way, a smooth transition from grid operation to (...) island operation and vice versa can be achieved without load voltage transitions. In addition, in order to overcome the problems through abrupt solar radiation or wind speed variations, a faster power balance is achieved between the wind turbines, the PV array, and the grid, as FFCL pursue the production of the current references of series converter. Consequently, the dynamic reactions of the converter currents and the voltage of dc bus are enhanced. A comprehensive analysis of flow of the AP through the converters is done to ensure a proper understanding of how Wind-PV-UPQC works. Finally, the simulation results are shown to estimate the dynamic and static performance of Wind-PV-UPQC in conjunction with the power distribution system. (shrink)

"In this book, the second edition of the author's Principles of Psychology, he continues his attempt to forge naturalistic constructs (descriptions, interpretations) for psychological events. Despite the enormous development of psychology in the interval, the author still stresses the fact that psychological events are in all respects as natural as chemical reactions, electromagnetic radiation, or gravitational attraction. The attempt to transform psychology into a natural science is doubly motivated. First, there is the need to develop valid constructs for an (...) important series of happenings. Second, such results smooth the way for workers in other sciences such as physics, physiology, and anthropology in their inevitable encounter with psychological issues"--Preface. (PsycINFO Database Record (c) 2010 APA, all rights reserved). (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Operating Through HatredAndrew G. Shuman“You’re not cutting my ***ing neck. The cancer is in my ***ing mouth.”While many patient encounters are memorable, Mr. K’s introduction to the head and [End Page 20] neck surgical oncology clinic is indelibly imprinted into the minds of all of the clinicians present on that certain autumn morning. This was, quite simply, a man who resonated hate. He was rude and disruptive. He insisted (...) on an expedited workup “without any waiting.” He questioned the ethnicity and nationality of his care providers. He told me, in no uncertain terms, that he did not appreciate my Jewish heritage—the swastika tattooed on his bicep underscored the point. He bragged about his recent incarceration for armed robbery. While my colleagues and I were tempted to simply refuse to assume his care, Mr. K had a bad problem—his recurrent tongue cancer required a major operation in order to offer him any hope for cure.Mr. K initially received an abbreviated course of radiation at an outside institution, which was limited by his non–compliance. While one might debate the wisdom of this decision in retrospect—in general, surgery is preferred for his type of tumor—the die was already cast. A heroic attempt at surgical salvage was now his only curative option. He previously sought care elsewhere... only to be fired by this original surgeon when Mr. K physically threatened him in the outpatient office during preoperative consultation. [It was the doctor’s fault for insulting him in the first place, Mr. K maintained... and no charges were filed.] We were, indeed, his last resort. Other than his recurrent cancer, Mr. K was robust; he was in his sixth decade, physically fit, and on the whole, fairly healthy. In the classic surgical lexicon, he was a reasonable surgical candidate. But was it reasonable to operate on such a person?I remember thinking, at the time, about our obligation to care for such an individual. Of course, being a medical professional carries with it many obligations, including a judicious assumption of personal risk. And, working in a tertiary care center begets the responsibility to assist referring clinicians in the management of difficult cases. Although professional obligations certainly have their limits, defining their bounds is decidedly more difficult. Paramount is creating an atmosphere of mutual trust and acceptance. Naturally, this was easier said than done in regard to Mr. K.Perhaps against our better judgment, we agreed to operate under the condition that he abide by strict behavioral ground rules, on our terms. We agreed upon the extent of the necessary operation (which indeed involved cutting his ***ing neck, much to his chagrin and reluctant acceptance). Mr. K promised to follow instructions for postoperative care. He assured us that he would not swear or yell (again). And, in the presence of hospital security, who reinforced our institutional policies regarding patient behavior, he guaranteed that he would not be verbally or physically violent or inappropriate, and would not make disparaging comments to other patients or staff. It seemed, at least, that we had an understanding.Needless to say, these rules were broken shortly after he awoke from surgery. I vividly remember being summoned from the OR when he threatened to murder his impressionable and terrified nurse a few days later, who would not acquiesce to his unreasonable demands. From that point onward, hospital security was deployed to his room regularly, and anything resembling a potential weapon was safeguarded. Any semblance of a mutual doctor–patient bond was shattered. At this point, everyone’s goal was simply to get Mr. K home.My visceral reactions to his behavior, while intense, were not unexpected, and fell in line with those of the entire team of clinicians caring for him. His antics brought his healthcare team together in collective unity (and condemnation). However, my surgical colleagues and I also felt somewhat guilty and responsible. While surgeons can choose to assume some degree of inherent personal danger in caring for a violent and angry patient, we also put the safety and soundness of the entire perioperative team in jeopardy, without necessarily seeking their input. But once we had decided to... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Nuclear Power after Fukushima 2011:Buddhist and Promethean PerspectivesGraham ParkesDuring 2010 many environmentalists previously opposed to nuclear power were deciding, in the face of anthropogenic climate change from burning fossil fuels, that the only way to prevent runaway global warming would be to build more nuclear power plants after all.1 There are risks involved—though fewer than with carbon-based sources of energy.2 When one compares the detrimental effects of nuclear power (...) with those of burning fossil fuel, it is clear that the human injury and death toll (not to mention environmental devastation) resulting from the former have been nothing compared to the damage caused by the extraction and consumption of fossil fuels, owing to mining accidents, oil spills, and so forth—not to mention the massive carbon dioxide emissions.On the other hand, the problem of how and where to store the growing amount of radioactive waste from nuclear power plants, which remains deadly for many thousands of years, has yet to be solved. Costly security measures have to be taken to guard against terrorist attacks and theft of materials usable for nuclear devices. When full safety features are included, nuclear power plants become ever more expensive to build, and the costs of insuring them against accidents are so prohibitive that governments have to subsidize them, which they are increasingly unwilling to do.Not long after the explosions and meltdowns at the Fukushima Daiichi nuclear power station in March 2011, two dismal world records were announced: in 2010 we discharged a record amount of carbon dioxide (more than 30 gigatons) into the atmosphere, mainly by burning fossil fuels, and, as a direct consequence, carbon dioxide levels in the atmosphere (as measured at the Earth Systems Research Laboratory in Hawai'i) reached a record level of 395 parts per million. These figures suggest that we are continuing to generate a rise in global average temperatures that is already destroying the livelihoods of millions and will soon jeopardize the lives of hundreds of millions more.As a consequence of the 2011 Fukushima disaster, Japan—long a leading promoter of nuclear power—has begun to enforce some widely neglected safety regulations and is seriously reconsidering its reliance on nuclear energy. China has put construction of [End Page 89] new power plants on hold. Other nations (such as Germany, Italy, Switzerland, Thailand, and Malaysia) have decided to phase out or cancel plans to build more nuclear power stations. Yet the primary motivations remain unclear, since people's attitudes toward the dangers of nuclear radiation are anything but rational—as evidenced by the mass departure of foreigners from Japan after the catastrophe at Fukushima, when health dangers beyond the vicinity of the power station were minimal.In Europe, the reaction to the Fukushima disaster has clearly been aggravated by memories of the catastrophe at Chernobyl in 1986. While Chernobyl was a more widely destructive event than Fukushima, releasing a much greater amount of radioactivity, its effects on human health continue to generate disagreement. According to the third report on the effects of the Chernobyl catastrophe issued by the United Nations Scientific Committee on the Effects of Atomic Radiation (UNSCEAR), among the 134 plant staff and emergency workers who suffered acute radiation syndrome (ARS), the condition proved fatal for twenty-eight of them. By 2006 another nineteen ARS survivors died, although their deaths were not directly attributable to the effects of ionizing radiation. Although the report attributes "a substantial fraction" of the six thousand cases of thyroid cancer in people who were children at the time of the accident to their consumption of milk contaminated with iodine-131, only fifteen cases had proved fatal by 2005, some twenty years later.3 The death toll, then, was fewer than fifty.By contrast, a study by a group of scientists from Belarus, Russia, and the Ukraine, Chernobyl: Consequences of the Catastrophe for People and the Environment, estimates the number of deaths attributable to the meltdown at around 980,000—almost twenty thousand times greater than the estimate by the UN scientific committee.4 What are we to make of this vast discrepancy, especially since the UNSCEAR report "was prepared in close cooperation with... (shrink)

Conventional rockets are not a suitable technology for interstellar missions. Chemical rockets require a very large weight of propellant, travel very slowly compared to light speed, and require significant energy to maintain operation over periods of years. For example, the 722 kg Voyager spacecraft required 13,600 kg of propellant to launch and would take about 80,000 years to reach the nearest star, Proxima Centauri, about 4.3 light years away. There have been various attempts at developing ideas on which one might (...) base a spacecraft that would permit interstellar travel, such as spacewarps. In this paper we consider another suggestion from science fiction and explore how the quantum vacuum might be utilized in the creation of a novel spacecraft. The spacecraft is based on the dynamic Casimir effect, in which electromagnetic radiation is emitted when an uncharged mirror is properly accelerated in vacuum. The radiative reaction produces a dissipative force on the mirror that tends to resist the acceleration of the mirror. This force can be used to accelerate a spacecraft attached to the mirror. We also show that, in principle, one could obtain the power to operate the accelerated mirror in such a spacecraft using energy extracted from the quantum vacuum using the standard Casimir effect with a parallel plate geometry. Unfortunately the method as currently conceived generates a miniscule thrust, and is no more practical than a spacewarp, yet it does provide an interesting demonstration of our current understanding of the physics of the quantized electromagnetic field in vacuum. (shrink)