Toward Nonlocal Electrodynamics of Accelerated Systems

Mashhoon, Bahram

doi:10.3390/universe6120229

Cited by 7 publications

(10 citation statements)

References 105 publications

(127 reference statements)

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“…VII.) It should be noted that in recent years some authors suggested that classical electromagnetism, under certain conditions, may induce nonlocal effects [20]- [22]; nevertheless, such scenarios are outside the scope of the physical paradigm treated in the present paper.…”

Section: A What Is Nonlocality?mentioning

confidence: 84%

“…The first term in the RHS of (87) represents the transverse part of the response function, while the second term is clearly the longitudinal component, with behaviour captured by the generic functions K T (k, ω) and K L (k, ω), respectively. 22 The tensorial forms involving the dyads kk , however, are imposed by the formal requirement of the need to satisfy the Onsager symmetry relations in the absence of external magnetic fields [16]. Using a proper microscopic theory, ultimately quantum theory, it is possible in general to derive fundamental expressions for the transverse and longitudinal components of the response functions in (87) [14]- [16], [36], [37], [49].…”

Section: B the General Electromagnetic Model Of Nonlocal (Spatially-dispersive) Isotropic Domainsmentioning

confidence: 99%

“…VII-D to illustrate the use of such physics-based dielectric function for the case of exciton-polariton-based semiconductor materials. 22 Even for isotropic materials, the response tensor K remains a tensor. This is due to the manner in which the equivalent dielectric function is defined using the Fourier transform instead of the conventional multipole approach, e.g., see [16], [31], [36].…”

Section: B the General Electromagnetic Model Of Nonlocal (Spatially-dispersive) Isotropic Domainsmentioning

confidence: 99%

See 2 more Smart Citations

On the Topology of Nonlocal Field Theories of Material Continua

Mikki¹

2021

Preprint

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A fairly general and unified approach to nonlocality in material continua is introduced here. This work aims at proposing new mathematical and conceptual foundations for the emerging topic of nonlocal metamaterials suitable for physicists, engineers, mathematicians, and materials scientists. The text develops an original rigorous theory, a detailed example involving nonlocal semiconductor metamaterials, and extensive literature review and discussion of possible applications of nonlocal metamaterials.

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Section: A What Is Nonlocality?mentioning

confidence: 84%

Section: B the General Electromagnetic Model Of Nonlocal (Spatially-dispersive) Isotropic Domainsmentioning

confidence: 99%

Section: B the General Electromagnetic Model Of Nonlocal (Spatially-dispersive) Isotropic Domainsmentioning

confidence: 99%

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On the Topology of Nonlocal Field Theories of Material Continua

Mikki¹

2021

Preprint

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“…We want to remark that the dynamic of interacting nucleons cannot be described, we think, by classical Maxwell Theory since it concerns accelerating and pulsating extended systems. Our point of view is that it's necessary to reframe nuclear forces exploiting old theories as Weber electrodynamics [21] or a recent Mashhoon's proposal of a classical non-local electrodynamics theory [22].…”

Section: Modelmentioning

confidence: 99%

A Deterministic Model of Path Memory Dependent Inter-Nucleon Forces

G¹

2021

PSBJ

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We discuss a classical deterministic model of internucleon forces assuming that their irreversible dynamics is not described by instantaneous forces but by electrodynamic path dependent forces. We propose to describe the hidden dynamics of single accelerated and deformable nucleons by a hidden nuclear electromagnetic pilot wave in analogy with recent discussed hydrodynamic pilot wave models. We assume that the hidden dynamics is non-Hamiltonian and suggest to interpret nuclear statistics to be caused by hidden time dependent ground state and binding energy. We introduce single nucleon scalar potential describing its microscopic dynamic state as a quasi-particle state and we couple it in a self-consistent way to hidden nuclear vacuum index, generalizing a previous model of the author. We discuss an iterative method to find approximate solutions of our model. We introduce a nuclear Bernoulli principle and nuclear electromagnetic vector potential which we exploit to deduce a condition of dynamic equilibrium between nucleon repulsive forces and nucleon cohesive superficial forces. Finally we recapitulate our general critiques to standard description of nuclear dynamics and discuss some possible non Maxwell formulation of electrodynamic forces for accelerated systems. We speculate that new classical electrodynamical models could explain in a coherent way interesting phenomena, compatible and predicted by our model, such time dependent nucleon dipoles, delayed nucleon emissions and delayed electromagnetic emissions.

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“…About certain foundational issues of fundamental interactions, B. Mashhoon [7] investigates some new aspects of the acceleration-induced nonlocal electrodynamics. In particular, he removes the original restriction that the theory's kernel has to be linear in the acceleration tensor and, thus, parity-violating, finding that, in principle, it can have linear, quadratic, and possibly higher-order parity conserving terms in it.…”

mentioning

confidence: 99%