Note on Stress Effects due to Relativistic Contraction

Dewan, E. M.; Beran, Mark J.

doi:10.1119/1.1996214

Cited by 69 publications

(68 citation statements)

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“…In the same essay he devises the Bell Spaceship paradox to demonstrate the reality of length contraction and the physical deformation of accelerated objects. In fact physical stresses in SR were suggested at least as early as 1959 by Dewan [34]. The presence of such stresses would seem to coincide with Swann's notion of quantum mechanical systems adjusting themselves.…”

Section: Is Length Contraction Real?mentioning

confidence: 96%

The Twins Clock Paradox History and Perspectives

Shuler¹

2014

JMP

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The twins or clock paradox has been a subject of lively discussion and occasional disagreement among both relativists and the public for over 100 years, and continues to attract physicists who write papers giving new analyses or defending old ones, even though many physicists now consider the matter only of educational interest. This paper investigates the number of papers, which is increasing, and trends in explanations, some of which are now targeted at professional physicists and other of which are targeted at optical or radar visualization rather than problem solving. Observations of students indicate that the latest techniques help but only somewhat. An analysis is made of 21 previous treatments appearing in the education related American Journal of Physics, Einstein's discussions and several other pedagogical papers. A new memory aid for simultaneity transformation is given that puts it on a par with "time dilation" and "length contraction" for quick and easy problem visualization. The point of view of a trailing twin is introduced to show how simultaneity changes account for missing time in the turnaround. Length contraction is treated on equal footing with time dilation, and Swann's insight into clocks is extended to lengths. Treatments using the conventionality of simultaneity are seen as equivalent to choice of co-moving frames. Responses to difficult questions are suggested which avoid being dismissive, and engage students' critical thinking.

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Section: Is Length Contraction Real?mentioning

confidence: 96%

The Twins Clock Paradox History and Perspectives

Shuler¹

2014

JMP

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“…[56,57]. There, the authors also make use of quasilocal ideas to de- 5 Proposed initially by E. Dewan and M. Beran [54] and later made popular by J.S. Bell's version [55].…”

Section: The Self-force Problem Via Conservation Lawsmentioning

confidence: 99%

Motion of localized sources in general relativity: Gravitational self-force from quasilocal conservation laws

et al. 2020

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An idealized "test" object in general relativity moves along a geodesic. However, if the object has a finite mass, this will create additional curvature in the spacetime, causing it to deviate from geodesic motion. If the mass is nonetheless sufficiently small, such an effect is usually treated perturbatively and is known as the gravitational self-force due to the object. This issue is still an open problem in gravitational physics today, motivated not only by basic foundational interest, but also by the need for its direct application in gravitational-wave astronomy. In particular, the observation of extreme-massratio inspirals by the future space-based detector LISA will rely crucially on an accurate modeling of the self-force driving the orbital evolution and gravitational wave emission of such systems.In this paper, we present a novel derivation, based on conservation laws, of the basic equations of motion for this problem. They are formulated with the use of a quasilocal (rather than matter) stressenergy-momentum tensor-in particular, the Brown-York tensor-so as to capture gravitational effects in the momentum flux of the object, including the self-force. Our formulation and resulting equations of motion are independent of the choice of the perturbative gauge. We show that, in addition to the usual gravitational self-force term, they also lead to an additional "self-pressure" force not found in previous analyses, and also that our results correctly recover known formulas under appropriate conditions. Our approach thus offers a fresh geometrical picture from which to understand the self-force fundamentally, and potentially useful new avenues for computing it practically.

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“…These considerations, of course, assume Born-rigidly constructed space vehicles.) The position-dependent acceleration is well known from the Dewan-Beran-Bell spaceship paradox [32,33] and ( [34], chapter 9). Two spaceships, connected by a Born-rigid wire, accelerate along the direction separating the two.…”

Section: Uniform Acceleration Of a Born-rigid Objectmentioning

confidence: 99%

Visualization of Thomas–Wigner Rotations

Beyerle

2017

Symmetry

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Abstract:It is well known that a sequence of two non-collinear Lorentz boosts (pure Lorentz transformations) does not correspond to a Lorentz boost, but involves a spatial rotation, the Wigner or Thomas-Wigner rotation. We visualize the interrelation between this rotation and the relativity of distant simultaneity by moving a Born-rigid object on a closed trajectory in several steps of uniform proper acceleration. Born-rigidity implies that the stern of the boosted object accelerates faster than its bow. It is shown that at least five boost steps are required to return the object's center to its starting position, if in each step the center is assumed to accelerate uniformly and for the same proper time duration. With these assumptions, the Thomas-Wigner rotation angle depends on a single parameter only. Furthermore, it is illustrated that accelerated motion implies the formation of a "frame boundary". The boundaries associated with the five boosts constitute a natural barrier and ensure the object's finite size.

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Note on Stress Effects due to Relativistic Contraction

Abstract: In this note a thought experiment will be used to show that relativistic contraction can introduce stress effects in a moving body.

Cited by 69 publications

References 0 publications

The Twins Clock Paradox History and Perspectives

The Twins Clock Paradox History and Perspectives

Motion of localized sources in general relativity: Gravitational self-force from quasilocal conservation laws

Visualization of Thomas–Wigner Rotations

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