Authors: Per Hokstad
Abstract. Simultaneity is a key concept in the special theory of relativity (STR), considering two reference frames moving relative to each other at constant speed, v. We introduce a new approach to simultaneity and its relation to clock readings and position. The two clocks at the origins play a crucial role. We synchronize these at time 0, and refer to this event as the ‘point of initiation’. From symmetry reasons, we conclude that these two clock readings –at least in some sense – represent simultaneity. The second element of our approach is a new version of the Lorentz transformation; where we in a new way combine the four (time, space) variables at a specific position, giving a state variable of two orthogonal components. The resulting description of simultaneity is well suited to analyse and conclude on the travelling twin case. Further, we provide a generalization; specifying a two dimensional time vector. The absolute value of the time vector specifies a measure of distance (in time) from the point of initiation. We utilise this distance to specify simultaneity of events related to the two reference frames; simultaneity corresponding to identical distances; i.e. time vectors having same absolute value (=‘total distance’). We can also give the time vector as a complex number, where the real part equals the clock reading at the relevant position.
Comments: 8 Pages.
[v1] 2017-11-27 16:08:13
Unique-IP document downloads: 16 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.