2024-07-22T08:09:19Z
https://www.peertechzpublications.org/oai-pmh
oai:www.peertechzpublications.org:10.17352/amp.000104
2024-01-10
PTZ.AMP:VOL7
Lorentz Transformation and time dilatation
Miodrag Mateljević<p>We consider two inertial frames S and and suppose that frame moves, for simplicity, in a single direction: the X -direction of frame S with a constant velocity v as measured in frame S.</p><p>Using homogeneity of space and time we derive a modified Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT.</p><p>Roughly speaking we suppose: (H) Any clock which is at rest in its frame measures a small increment of time by some factor s=s(v). As a corollary of relativity theory (H) holds with Lorentz factor 1/γ. For s=1 we get the Galilean transformation of Newtonian physics, which assumes an absolute space and time. We also consider the relation between absolute space and Special Relativity Theory, thereafter STR.</p><p>It seems here that we need a physical explanation for (H). </p><p>We introduce Postulate 3. The two-way speed of light in and -directions are c and outline derivation of (LT) in this setting. Note that Postulate 3 is a weaker assumption than Einstein's second postulate. </p>
Annals of Mathematics and Physics - Peertechz Publications
2024-01-10
Research Article
https://doi.org/10.17352/amp.000104
en
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