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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: In this article, a two-way moving sidewalk is used to illustrate relative velocity, time dilation, and length contraction of the theory of special relativity on a rotating disc model.
Abstract: Some classical thought experiments in special relativity are performed on a two-way moving sidewalk. Since each of the two sides moves at constant speed, this device provides a simple, intuitive way to illustrate relative velocity, time dilation, and length contraction. It should therefore allow for a better understanding of the basic concepts of the theory. Furthermore, being a closed system the two-way sidewalk exhibits some of the characteristics of a rotating disc, and might therefore be helpful in an introduction to general relativity.
17 citations
TL;DR: In this article, it was shown that the proper length of an accelerating object is limited to the values L*≤c2/a*F where a*F is the proper acceleration of the front end.
Abstract: The proper length L* of an accelerating object is limited to the values L*≤c2/a*F where a*F is the proper acceleration of the front end. For the maximum length, the acceleration of the rear end is infinite. The effect rests on the relativity of simultaneity, one of the most difficult relativity concepts for students. We explore some consequences of this result.
17 citations
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01 Jan 2006TL;DR: In this paper, an axiomatization of the theory of space-time has been proposed and the philosophical significance of this theory has been discussed, as well as its physical consequences.
Abstract: Introduction 1. Review of Moritz Schlick's General Theory of Knowledge 2. Einstein's theory of space 3. Reply to H. Dingler's Critique of the Theory of Relativity 4. Report on an axiomatization of Einstein's theory of space-time 5. Reply to Th. Wulf's objections of the general theory of relativity 6. Einstein's theory of motion 7. The theory of relativity and absolute transport time 8. Reply to Anderson's objections to the general theory of relativity 9. Review of Muller's The Philosophical Problems with Einstein's Theory of Relativity 10. The philosophical significance of the theory of relativity 11. Planet clocks and Einsteinian simultaneity 12. On the physical consequences of the axiomatization of relativity 13. Has the theory of relativity been refuted? 14. Response to a publication of Mr. Hj. Mellin.
17 citations
TL;DR: In this article, the equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space are considered.
Abstract: The equations of motion of a charged particle in a five-dimensional model of the general theory of relativity with a nonholonomic four-dimensional velocity space are considered. A nonholonomic distribution defined by the differential form ω = A 0 dx 0 + A 1 dx 1 + A 2 dx 2 + A 3 dx 3 + dx 4 on a five-dimensional smooth Lorentzian manifold is studied. By means of the Pontryagin maximum principle, it is proved that the equations of horizontal geodesics for this distribution are the same as the equations of motion of a charged particle in the general theory of relativity. Thus, a model of the Kaluza-Klein theory is built by means of the sub-Lorentzian geometry. Finally, the geodesic sphere, which appears in a constant magnetic field, is studied, as well as its singular points.
17 citations