Relativity and Cosmology


An Approach for Analysing Time Dilation in the TSR

Authors: Per Hokstad

Abstract. We present an approach to analyze time dilation in the theory of special relativity, starting out from a variant of the Lorentz transformation. The concepts of symmetry and simultaneity are essential in these investigations. We also stress the importance of the observational principle, i.e., the location of clocks used for the clock comparisons of the two reference frames (RFs) moving relative to each other. For a specific RF we may follow just a single clock (SC), or we can use multiple clocks (MC) to follow a single clock on the other RF. In addition to these standard cases, we consider an approach, utilizing an auxiliary RF, which – in combination with symmetry considerations – provides a consistent definition of ‘simultaneity at a distance’. We use the overall approach to discuss the travelling twin paradox, (now providing corrections to previous versions of the paper).

Comments: 14 Pages.

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Submission history

[v1] 2017-06-18 10:29:55
[v2] 2017-07-04 11:50:46
[v3] 2017-08-20 14:39:40
[v4] 2017-08-24 15:50:23
[v5] 2017-11-13 09:20:01
[v6] 2018-01-12 10:50:16
[v7] 2018-01-22 16:06:27
[v8] 2018-02-14 11:27:46

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