The Riddle of Relativity

Cullwick, E.G.

doi:10.1088/0031-9112/10/3/002

Cited by 10 publications

(5 citation statements)

References 10 publications

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“…The electromagnetic energy argument. This argument is supported by the careful analyses of E. G. Cull wick [15]. He applied the electrokinetic theory of Maxwell which predicts that the energy of a magnetic field is related to the energy in the current driving the magnetic field.…”

Section: Appendixmentioning

confidence: 97%

Collective motion of an electron or ion gas at multiples of the cyclotron frequency

Johnston¹,

Moore²

1965

Nucl. Fusion

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This paper contains an explanation for phenomena found in laboratory plasmas by many investigators. When a magnetic field is present, either the ion component or the electron component (but not both simultaneously) may rotate with a mean angular velocity equal to its cyclotron frequency. In such a case, the periodic electric and magnetic force fields induced by certain types of collective oscillations of the velocity field cooperate in such a way that rotating wave patterns are formed. These rotating waves fall into two groups. The frequency of the first group is the well-known plasma frequency. The second group has two frequencies—one near a multiple of the cyclotron frequency, and the other, much lower, at the square of the plasma frequency divided by a multiple of the cyclotron frequency. The field of motion of the first group of waves is periodic along the direction of the magnetic field. The field of motion for the second group of waves is given by where and These fields of motion are in agreement with the experiments which have found that the higher harmonics of the cyclotron frequency can be excited to a much higher degree than previous theory had predicted.

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Section: Appendixmentioning

confidence: 97%

Collective motion of an electron or ion gas at multiples of the cyclotron frequency

Johnston¹,

Moore²

1965

Nucl. Fusion

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“…Note that all equations where ∇ appears in the present note are valid in arbitrary orthogonal curvilinear coordinates (cf Redžić 2001, Višňovský 2004, Redžić 2005). 4 In this context it is perhaps worthwhile to mention that Gelman (1991), in his interesting relativistic analysis of Faraday's law via dyadics, essentially revitalized Silberstein's 'stretchers' (cf Silberstein 1914and Cullwick 1959, but also Møller 1972and Frahm 1979).…”

Section: Appendixmentioning

confidence: 99%

Faraday's law via the magnetic vector potential

Redžić¹

2007

Eur. J. Phys.

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“…Starting from the relations P = ε 0 (ε r − 1)E and M = 0 (the conductor is linear, isotropic and non-magnetic!) and using the relations between the unprimed and primed variables of special relativity (see, for example, Rosser (1964), Cullwick (1959)) one gets surprisingly simple expressions for P and M :…”

Section: Maxwell's Equationsmentioning

confidence: 99%

“…The standard procedure that was used above for finding the constitutive equations for P and M in the laboratory reference frame was criticized by Pellegrini and Swift (1995) in a different context, in their re-evaluation of the classic 1913 experiment of Wilson and Wilson (see also Cullwick (1959)). It appears, however, that the critique has been refuted (Burrows 1997, Ridgely 1999.…”

Section: Maxwell's Equationsmentioning

confidence: 99%

“…The tangential component of H * , however, suffers a discontinuity equal to the linear density of the surface conduction current. There is some disagreement between various authors concerning the last statement (Sommerfeld 1952, Pauli 1958, Cullwick 1959, Namias 1988. It seems that the disagreement stems from the fact that in their pioneering papers Einstein and Laub (1908a, 1908b, 1908c did not take into account that surface conduction currents are, in principle, possible.…”

Section: Boundary Conditionsmentioning

confidence: 99%

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Electromagnetism of rotating conductors revisited

Redžić¹

2002

Eur. J. Phys.

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The charge distribution and electromagnetic fields in a rotating, charged conductor under stationary conditions are investigated, assuming that the electrons are at rest relative to the conductor. The basic equations are found, referred to the inertial rest frame of the rotational axis, in the relativistic case, and applied to the case of a cylindrical conductor. The results obtained are compared with those of Grøn and Vøyenli (Grøn Ø and Vøyenli K 1982 Eur. J. Phys. 3 210-4) who considered the same problem but without taking into account the relative permittivity of the rotating conductor. It is found that the E- and B-fields do not depend on εr and coincide with those calculated by Grøn and Vøyenli; the space and surface charge densities, however, depend on εr.

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The Riddle of Relativity

Cited by 10 publications

References 10 publications

Collective motion of an electron or ion gas at multiples of the cyclotron frequency

Collective motion of an electron or ion gas at multiples of the cyclotron frequency

Faraday's law via the magnetic vector potential

Electromagnetism of rotating conductors revisited

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