Can classical electrodynamics predict nonlocal effects?

European Physical Journal Plus, 2022

We have recently 1 argued that classical electrodynamics can predict nonlocal effects by showing an example of a topological and nonlocal electromagnetic angular momentum. In this paper we discuss the dual of this angular momentum which is also topological and nonlocal. We then unify both angular momenta by means of the electromagnetic angular momentum arising in the configuration formed by a dyon encircling an infinitely-long dual solenoid enclosing uniform electric and magnetic fluxes and show that this electromagnetic angular momentum is topological because it depends on a winding number, is nonlocal because the electric and magnetic fields of this dual solenoid act on the dyon in regions for which these fields are excluded and is invariant under electromagnetic duality transformations. We explicitly verify that this duality-invariant electromagnetic angular momentum is insensitive to the radiative effects of the Liénard-Wiechert fields of the encircling dyon. We also show how duality symmetry of this angular momentum suggests different physical interpretations for the corresponding angular momenta that it unifies.

British Journal for The Philosophy of Science, 2002

Classical electrodynamicsÐif developed consistently, as in Dirac's classical theory of the electronÐis causally non-local. I distinguish two distinct causal locality principles and argue, using Dirac's theory as my main case study, that neither can be reduced to a non-causal principle of local determinism.

2014

We propose a macroscopic description of the superconducting state in presence of an applied external magnetic field in terms of first order differential equations. They describe a corrugated two-component order parameter intertwined with a spin-charged background, caused by spin correlations and charged dislocations. The first order differential equations are a consequence of a Weitzenböck-Liechnorowitz identity which renders a SU L (2)⊗ U L (1) invariant ground state, based on (L) local rotational and electromagnetic gauge symmetry. The proposal is based on a long ago developed formalism byÉlie Cartan to investigate curved spaces, viewed as a collection of small Euclidean granules that are translated and rotated with respect to each other.Élie Cartan's formalism unveils the principle of local rotational invariance as a gauge symmetry because the global SU (2) invariance of the order parameter is turned into a local invariance by the interlacement of spin and charge to pairing.

Physics Letters A, 2007

Acceleration-induced nonlocality is discussed and a simple field theory of nonlocal electrodynamics is developed. The theory involves a pair of real parameters that are to be determined from observation. The implications of this theory for the phenomenon of helicity-rotation coupling are briefly examined.

2021

In this paper, we present a novel semi-classical theory of the electrostatic and magnetostatic fields and explain the nonlocality problem in the context of the Aharonov-Bohm effect [1]. Specifically, we show that the electrostatic and the magnetostatic fields possess a quantum nature that manifests if certain conditions are met. In particular, the wave amplitudes of the fields are seen to exist even in the regions where the classical fields vanish and they operate on the electron wave functions locally as unitary phases. This formulation also sheds light on the quantisation of electric charges and magnetic flux.

Annals of Physics, 1967

Quantum Reports

We consider a quantum charged particle moving in the x y plane under the action of a time-dependent magnetic field described by means of the linear vector potential of the form A = B ( t ) − y ( 1 + β ) , x ( 1 − β ) / 2 . Such potentials with β ≠ 0 exist inside infinite solenoids with non-circular cross sections. The systems with different values of β are not equivalent for nonstationary magnetic fields or time-dependent parameters β ( t ) , due to different structures of induced electric fields. Using the approximation of the stepwise variations of parameters, we obtain explicit formulas describing the change of the mean energy and magnetic moment. The generation of squeezing with respect to the relative and guiding center coordinates is also studied. The change of magnetic moment can be twice bigger for the Landau gauge than for the circular gauge, and this change can happen without any change of the angular momentum. A strong amplification of the magnetic moment can happen even ...

Gribov-85 Memorial Volume: Exploring Quantum Field Theory, 2016

The apparent nonlocality of the Coulomb gauge external field problem in electrodynamics is illustrated with an example in which nonlocality is especially striking. Explanation of this apparent nonlocal behaviour based on a purely local picture is given. A gauge invariant decomposition of the Lorentz-force into two terms with clear physical meanings is pointed out. Based on this decomposition derivation of the Aharonov-Bohm effect in terms of field strengths alone is given.

The standard formulation of quantum mechanics embraces and predicts a number of counterintuitive nonlocal notions and phenomena e.g., collapse of wave function, nonlocal quantum correlations, the instantaneous spreading of a compact statefunction $\psi$, Aharonov-Bohm effect and nonlocal quantum potential, sparking a nontrivial controversy regarding superluminal communication. A brief and incomplete survey of the notion of nonlocality in physical theories is presented here.

It is demonstrated that the magnetic field surrounding a chain of uniformly moving charges does not constitute a sum of magnetic fields of single charges but is a result of interaction between a test charge and all chain charges. A single moving charge is not surrounded by any magnetic field. Electromagnetic radiation and inductive effect are considered with the assumption that there is no magnetic field at all. It is pointed out that the classical electrodynamics can be based on the electric field formula of the charge moving arbitrarily.