Comment on ‘Note on Dewan–Beran–Bell's spaceship problem’

Peregoudov, D. V.

doi:10.1088/0143-0807/30/1/l02

Cited by 8 publications

(11 citation statements)

References 2 publications

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“…using Equation (11). (The analogous asymmetry between the S-and S ′descriptions is found in the well-known "thread-between-spaceships" relativistic problem [26], cf also [27][28][29][30].) Eventually, the pinch effect develops under the action of the radial electric field directed outward, leading to final electrons charge density −ρ + γ in the cylindrical region (r < a − δ) and thus to vanishing of the radial electric field inside the cylinder.…”

Section: Charges and Fields In The Free-electrons Framementioning

confidence: 68%

Charges and fields in a current-carrying wire

Redžić

2012

Eur. J. Phys.

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Charges and fields in a straight, infinite, cylindrical wire carrying a steady current are determined in the rest frames of ions and electrons, starting from the standard assumption that the net charge per unit length is zero in the lattice frame and taking into account a self-induced pinch effect. The analysis presented illustrates the mutual consistency of classical electromagnetism and Special Relativity. Some consequences of the assumption that the net charge per unit length is zero in the electrons frame are also briefly discussed. IntroductionAs is well known, combining Coulomb's law, charge invariance and the transformation law of a pure relativistic three-force [1,2], one can derive the correct equation for the force with which a point charge in uniform motion acts on any other point charge in arbitrary motion, and thus recognize both the E E E and B B B fields of a uniformly moving point charge and the corresponding Lorentz force expression [3][4][5]. Thus one can prove indirectly, without introducing general transformations for E E E and B B B, that the Lorentz force expression, f f f L ≡ qE E E + qu u u ×B B B, transforms in the same way as the time derivative of the relativistic momentum of a particle with time independent mass, in the special case of E E E and B B B due to a uniformly moving point charge. Following the same line of reasoning, the so-called relativistic nature of the magnetic field is often illustrated by discussing the force on a charged particle outside a current-carrying wire, or the force between two parallel current-carrying wires [5][6][7][8]. (Note that in the latter case, contrary to the widespread opinion,

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Section: Charges and Fields In The Free-electrons Framementioning

confidence: 68%

Charges and fields in a current-carrying wire

Redžić

2012

Eur. J. Phys.

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“…The answer to this question has, in the past, eluded even experts, as Bell famously reports (Bell 1993, 68), though it would not do so today. A growing number of con tributions to the physics literature, which routinely assume for pragmatic reasons, as we will, that the ships accelerate with identical constant proper accelerations, show unequivocally that if the string is light enough and the ships accelerate for long enough, the string will indeed break-see, for example Dewan and Beran (1959), Bell (1993), Cornwell (2005), Flores (2005), the recent exchange between Redžić and Peregoudov (Redžić 2008;Peregoudov 2009;Redžić 2009), and references therein. Furthermore, some of these contributions show that the standard geometrical approach to special relativity is sufficient to arrive at the conclusion that the string will indeed eventually break.…”

Section: The Dbb Problemmentioning

confidence: 98%

Bell's Spaceships Problem and the Foundations of Special Relativity

Fernflores¹

2011

International Studies in the Philosophy of Science

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Recent 'dynamical' approaches to relativity by Harvey Brown and his colleagues have used John Bell's own solution to a problem in relativity which has in the past sometimes been called 'Bell's spaceships paradox', in a central way. This paper examines solutions to this problem in greater detail and from a broader philosophical perspective than Brown et al. offer. It also analyses the well-known analogy between special relativity and classical ther modynamics. This analysis leads to the sceptical conclusion that Bell's solution yields neither new philosophical insights concerning the foundations of relativity nor differential support for a specific view concerning the existence of space-time.

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“…Less popular is Bell's spaceship paradox, 14 over which disputes continue until today. 15,16 The right-angle lever paradox 17,18 was discussed by Laue. 19 Pauli discussed the Trouton and Noble experiment with a moving condenser.…”

Section: Introductionmentioning

confidence: 99%

Elementary example of energy and momentum of an extended physical system in special relativity

Serafin

Głazek

2017

American Journal of Physics

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An instructive paradox concerning classical description of energy and momentum of extended physical systems in special relativity theory is explained using an elementary example of two pointlike massive bodies rotating on a circle in their center-of-mass frame of reference, connected by an arbitrarily light and infinitesimally thin string. Namely, from the point of view of the inertial observers who move with respect to the rotating system, the sums of energies and momenta of the two bodies oscillate, instead of being constant in time. This result is understood in terms of the mechanism that binds the bodies: the string contributes to the system total energy and momentum no matter how light it is. Its contribution eliminates the unphysical oscillations from the system total four-momentum. Generality of the relativistic approach, applied here to the rotor example, suggests that in every extended physical system its binding mechanism contributes to its total energy and momentum.

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Comment on ‘Note on Dewan–Beran–Bell's spaceship problem’

Cited by 8 publications

References 2 publications

Charges and fields in a current-carrying wire

Charges and fields in a current-carrying wire

Bell's Spaceships Problem and the Foundations of Special Relativity

Elementary example of energy and momentum of an extended physical system in special relativity

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