Three-dimensional collinearly propagating solitons

Bersons, I.; Veilande, Rita; Pirktinsh, A

doi:10.1088/0031-8949/89/04/045102

Cited by 6 publications

(9 citation statements)

References 11 publications

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“…The constructed nonlinear equation coincides (except for the meaning of variables) with the generalized nonlinear Schrödinger equation (GNLSE) proposed by Cologero and Degasperis [10]. The equation is integrable, and the properties of its 3D one-and two-soliton solutions have been considered [9,11]. Of course, any modification of the Maxwell equations in order to include the concept of the photon will be artificial.…”

Section: Introductionmentioning

confidence: 84%

Soliton model of a photon propagating in dielectrics

Bersons¹,

Veilande²,

Balcers³

2016

Phys. Scr.

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The previously proposed three-dimensional soliton model of a photon propagating in vacuum is modified to describe its propagation in a homogeneous linear dielectric medium. The one-soliton solution of the derived nonlinear equation correctly predicts the energy and the Abraham and Minkowski momenta of the photon in dielectrics. A new nonlinear equation is proposed, which has a one-soliton solution that at every point oscillates with the same frequency and falls exponentially in the longitudinal, as well as in the transverse direction from the centre of the soliton.

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Section: Introductionmentioning

confidence: 84%

Soliton model of a photon propagating in dielectrics

Bersons¹,

Veilande²,

Balcers³

2016

Phys. Scr.

Self Cite

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“…Considering that many suggestions have been made to describe photons as solitons (e.g., Dirac 1927;Vigier 1991;Kamenov & Slavov 1998;Meulenberg 2013;Bersons 2013;Bersons et al 2014), we also propose that a photon is a soliton propagating in the dipole aether with a speed of c(U ), cf., Eq. (13), controlled by the dipoles moving in the direction of propagation of the photon.…”

Section: An Aether Model With Photons As Solitonsmentioning

confidence: 99%

Gravitational redshift and the vacuum index of refraction

Wilhelm

Dwivedi

2019

Astrophys Space Sci

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A physical process of the gravitational redshift was described in an earlier paper (Wilhelm & Dwivedi 2014) that did not require any information for the emitting atom neither on the local gravitational potential U nor on the speed of light c. Although it could be shown that the correct energy shift of the emitted photon resulted from energy and momentum conservation principles and the speed of light at the emission site, it was not obvious how this speed is controlled by the gravitational potential. The aim of this paper is to describe a physical process that can accomplish this control. We determine the local speed of light c by deducing a gravitational index of refraction n G as a function of the potential U assuming a specific aether model, in which photons propagate as solitons. Even though an atom cannot locally sense the gravitational potential U (cf. Müller et al. 2010), the gravitational redshift will nevertheless be determined by U (cf. Wolf et al. 2010)mediated by the local speed of light c.

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“…The nonlinear term in optics is presented as |E| 2 E, where E is the electric field vector. In the proposed model of photon [10,11], the nonlinear term |A| 2 A of the vector potential A is used. Here we propose that P r is proportional to φ 3 (it is assumed that potential φ is a real function).…”

Section: Model Of Electric Chargementioning

confidence: 99%

“…The electromagnetic potentials of these objects must be determined by the special nonlinear equations. Recently [10,11], the nonlinear model equation for the photon was proposed. The equation has a physically suitable soliton-type solution but additional investigations should be performed to accept the model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Models of Electric Charge and Magnetic Moment

Bersons

Veilande

2015

Found Phys

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The models of the electric charge and magnetic moment are presented based on the nonlinear (cubic) response of a vacuum on the applied electric and magnetic fields. The model of the electric charge contains one parameter-the radius of chargeand predicts one value (both signs) of the electric charge for all elementary particles independently on the value of this radius. Different values of this parameter for the electron are discussed.

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Three-dimensional collinearly propagating solitons

Cited by 6 publications

References 11 publications

Soliton model of a photon propagating in dielectrics

Soliton model of a photon propagating in dielectrics

Gravitational redshift and the vacuum index of refraction

Nonlinear Models of Electric Charge and Magnetic Moment

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