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Some Inquiries Into Special Relativity
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: Received: 7 November 2019 / Approved: 11 November 2019 / Online: 11 November 2019 (07:32:47 CET)
How to cite: Nodland, B. Some Inquiries Into Special Relativity. Preprints 2019, 2019110121 Nodland, B. Some Inquiries Into Special Relativity. Preprints 2019, 2019110121
Abstract
This paper presents research within the topic of special relativity. First, we show that time dilation and length contraction do not necessarily require that the speed of light be the same in all reference frames. It is only necessary to require that the speed of light be finite in any particular frame. Next, we demonstrate that the relativistic Doppler shift for electromagnetic waves has an analogue for extended material objects, and furnish an expression for the relative velocity of such objects in terms of what we call their "rest length shift''. An alternative velocity, which we call "rest velocity'', is then introduced to simplify the Lorentz transformation formulas. We also show that regular velocity can be regarded as the geometric average of the "rest velocity'' and another type of velocity we term "contracted velocity". We conclude by formulating the relationship between regular and "rest'' velocity for non-uniform motion in one, two, and three dimensions.
Keywords
physics; relativity
Subject
Physical Sciences, Theoretical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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