Relativity and Cosmology

    

Special Theory of Relativity in 4-Dimensional Euclidean Space

Authors: Andrey N. Smirnov

The construction of space-time in a 4-dimensional Euclidean space is considered, where a scalar field is defined that has no distinguished directions. When constructing space-time, the hypothesis is used that the causality principle is applied separately and independently for different inertial reference frames. It is shown that when the relative velocity of two inertial reference frames tends to zero, the equations of direct transformations tend to the form that the equations of special relativity have. As a consequence, the sameness of the maximum velocity in all inertial reference frames is obtained and the principle of locality is derived.

Comments: 6 Pages.

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[v1] 2025-05-21 19:38:18

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