A critical analysis of N. Bohr's reply to the EPR argument

N. Bohr's counter-argument to EPR assumes that the complementarity principle imposes a limitation on the types of predictions permissible in quantum theory, similar to the limitation imposed on the types of measurements by the Heisenberg uncertainty relation. Since this assumption has no quantum-theoretical justification, the EPR argument cannot be refuted on the basis of the complementarity principle.     

Theoretical analysis of quantum electrodynamics

A study is carried out of some of the important developments made in quantum electrodynamics (QED) during this past decade. Basic problems and recent attempts are considered which are expected to be of importance not only for further developments in QED, but also to our further understanding of quantum field theory, in general and of its unique role played in describing the dynamics of elementary particles.     

Reply to “ A critical analysis of N. Bohr's reply to the EPR argument”

It is shown that there is no inconsistency with the wave packet reduction in Bohr's reply to the EPR argument, as claimed in a previous letter by Koç.     

A time-symmetric classical electrodynamics

In this theory, both the advanced and retarded Liénard-Wiechert potentials are used to compute the fields of a charged point particle. The incoming radiation from the advanced fields balances the outgoing radiation of the retarded fields, and we assume that there are no radiation reaction terms in the equations of motion of the particles. We further assume that only retarded fields act on particles through the Lorentz force, and that advanced fields act on antiparticles. This is a theory that is symmetric under time reflection (reversal of the direction of motion plus charge conjugation).     

A model of nonlinear electrodynamics

A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is the finiteness of the static electric energy of point-like charged particle. We obtain the canonical and symmetrical Belinfante energy–momentum tensors and dilatation currents. It is demonstrated that the dilatation symmetry and dual symmetry are broken in the models suggested. We have calculated the static electric energy of point-like particles.     

Group analysis of the nonlinear electrodynamics equations

The symmetry of the Maxwell equations is investiated in this paper in a nonlinear isotropic medium without currents and charges. A group-theoretic classification is given of the material equations and partially invariant solutions. Exact solutions of the Maxwell equations are found.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 27–31, July, 1990.     

A covariant method in electrodynamics

The tetrad formalism of Newman and Penrose is used to develop a method for solving Hamilton-Jacobi and Dirac equations and to calculate the intensity of radiation from a moving charged particle in external electromagnetic fields.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 70–76, January, 1978.     

Confined quantum electrodynamics in 1+1 dimensions: A perturbative analysis

The spectrum of confined QED in 1+1 dimensions is analysed using perturbation theory. The mass spectra of systems made up of massless fermions are calculated toO(e ²) and compared to the mass spectra obtained using nonperturbative methods. Systems containing heavy fermions are also studied and an analogy with the 3+1 dimensional Bag model is pointed out.     

A UV completion of scalar electrodynamics

In previous works, we constructed UV-finite and unitary scalar field theories with an infinite spectrum of propagating modes for arbitrary polynomial interactions. In this paper, we introduce infinitely many massive vector fields into a U(1) gauge theory to construct a theory with UV-finiteness and unitarity.     

Short-distance analysis of the triangle anomaly in quantum electrodynamics

The connection between the existence of a non-zero triangle anomaly and the short-distance properties of Green functions in quantum electrodynamics (QED) are re-examined. We find that part of a previous analysis must be corrected, and we record some additional observations on the internal consistency of finite theories of QED.     

A manifestly gauge-invariant formulation of quantum electrodynamics

A manifestly gauge-invariant formulation of quantum electrodynamics is constructed in which the basic dynamical variables are physically observable quantities. The theory is relativistically covariant, because the structure of the Poincaré group is built into it from the beginning.     

A critical analysis of ultrasonic therapy.

The authors have examined the effect of ultrasonic irradiation on myopy. Fourty-two eyes of 24 patients were treated. In more than 76% of the cases, there was an average decrease of 1.04 D in refraction. When myopy was accompanied by astigmatism, this also decreased or even disappeared.     

A non-completeness argument for quantum mechanics (analysis of the EPR paper)

This paper aims at a clarification of the interrelations of the fundamental ideas in the EPR paper [2]. Through a logical analysis of the completeness condition and the physical reality criterion, we show how the premises of the EPR argument are obtained and explicate in what sense the conclusion that quantum mechanics is a non-complete theory follows.     

Auditory profile analysis: frequency, phase, and Weber's law

This paper reports three separate experiments on different aspects of performance in auditory profile analysis. The first experiment deals with the effects of the frequency and position of an increment in a single component of a multitonal complex. The general results indicate that detection of the signal is easier for components in the mid-frequency range (around 1000 Hz) independent of signal position within the complex. The second experiment investigates the effects of relative phase of the individual components of the complex. Regardless of the number of components, our results indicate that phase has very little effect, even when different phases are selected for each presentation. The third experiment compares the detection of an increment in intensity of a single component, the traditional Weber fraction experiment, and conditions where additional components are present, a profile experiment. The detection of the increment is measured as a function of the level of the standard. The single-tone condition shows the usual near miss to Weber's law whereas the multitone condition does not. In addition, threshold for the increment is better for the multitone condition than for the single tone condition for levels of the standard up to 70 dB SPL. This last result is investigated for ten observers, five of whom were experienced in profile tasks and five of whom were not. Using a low level standard, the five experienced observers replicate the results described above. The inexperienced observers show the opposite result. On average, they are better able to detect the increment in the single-component condition.     

Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics

We perform a general study of the thermodynamic properties of static electrically charged black hole solutions of nonlinear electrodynamics minimally coupled to gravitation in three space dimensions. The Lagrangian densities governing the dynamics of these models in flat space are defined as arbitrary functions of the gauge field invariants, constrained by some requirements for physical admissibility. The exhaustive classification of these theories in flat space, in terms of the behaviour of the Lagrangian densities in vacuum and on the boundary of their domain of definition, defines twelve families of admissible models. When these models are coupled to gravity, the flat space classification leads to a complete characterization of the associated sets of gravitating electrostatic spherically symmetric solutions by their central and asymptotic behaviours. We focus on nine of these families, which support asymptotically Schwarzschild-like black hole configurations, for which the thermodynamic analysis is possible and pertinent. In this way, the thermodynamic laws are extended to the sets of black hole solutions of these families, for which the generic behaviours of the relevant state variables are classified and thoroughly analyzed in terms of the aforementioned boundary properties of the Lagrangians. Moreover, we find universal scaling laws (which hold and are the same for all the black hole solutions of models belonging to any of the nine families) running the thermodynamic variables with the electric charge and the horizon radius. These scale transformations form a one-parameter multiplicative group, leading to universal “renormalization group”-like first-order differential equations. The beams of characteristics of these equations generate the full set of black hole states associated to any of these gravitating nonlinear electrodynamics. Moreover the application of the scaling laws allows to find a universal finite relation between the thermodynamic variables, which is seen as a generalized Smarr law. Some particular well known (and also other new) models are analyzed as illustrative examples of these procedures.     

A new variant of nonlinear electrodynamics. I

Equations are derived for a nonlinear electromagnetic field, the nonlinearity of which is produced by spin-spin coupling induced by curvature of space-time. The electrostatic solution of these equations in Minkowski space is studied.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 81–87, September, 1978.     

A renormalization prescription for massless quantum electrodynamics

An alternative proof of the Ward-Takahashi identity for perturbative quantum electrodynamics is given which makes no use of a gauge invariant regularization such as the Pauli-Villars loop subtraction or dimensional regularization. Instead, it is shown, in the presence of an arbitrary high momentum cutoff, that the exact W-T identity holds with an error ofO(1) with 0<<1. The proof involves a perturbative analysis of the Euclidean functional integral for QED by the tree expansion method.Research supported by the Natural Sciences and Engineering Research Council     

A new variant of nonlinear electrodynamics. II

The electrostatic solution of nonlinear electrodynamic equations is studied, the characteristic peculiarity of these equations being their consideration of the effect of electromagnetic spin on the space-time continuum. The energy of the nonlinear electromagnetic field proves to be finite for a quite wide spectrum of seed masses. Three-dimensional soliton solutions are constructed.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 46–53, October, 1978.We express our deep indebtedness to N. N. Kolesnikov, V. R. Khalilov, and participants in the theoretical physics seminar led by Professor D. D. Ivanenko for evaluating the results of the study.