Relativity and Cosmology


An Approach for Analysing Time Dilation in the TSR

Authors: Per Hokstad

Abstract. We investigate time dilation within the theory of special relativity (TSR); basing the argumentation on the Lorentz transformation, and also discuss some controversies. The location of the clocks used for time registrations is essential for the magnitude of the time dilation, and we investigate various observational principles. Three principles are in focus: 1) A reference frame applying a single clock (SC); 2) Applying multiple clocks (MC); or 3) A completely symmetric situation between the two reference frames. We specify two types of simultaneity. First, there can be a direct comparison of clock readings at identical positions (‘basic’ simultaneity). Next, we consider simultaneity ‘in the perspective’ of any reference frame. By introducing auxiliary reference frames - combined with symmetry considerations – we also define ‘simultaneity at a distance’. The approach is used to present a thorough discussion of the travelling twin example, giving a concise conclusion regarding the twins’ ages.

Comments: 17 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

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