dorsal/arxiv
View SchemaTrue Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. I. the Theory
| Authors | Tomislav Ivezic |
|---|---|
| Categories | |
| ArXiv ID | physics/0007030 |
| URL | https://arxiv.org/abs/physics/0007030 |
Abstract
It is shown in this paper that the difference between the two forms of relativity - the ''true transformation (TT) relativity'' and - the ''apparent transformation (AT) relativity'' is essentially caused by the difference in the concept of \emph{sameness} of a physical system, i.e., of a physical quantity, for different, relatively moving, observers. In the ''TT relativity'' the same quantity for different inertial frames of reference is covariantly defined four-dimensional (4D) tensor quantity, which transforms according to the Lorentz transformation as the TT. In the ''AT relativity'' parts of a 4D tensor quantity are often considered as the same quantity for different observers, although they correspond to different quantities in 4D spacetime, and they are not connected by the Lorentz transformation than by the AT. Then the true transformations of a spacetime length and the apparent transformations of a spatial distance (the Lorentz contraction) and of a temporal distance (the usual dilatation of time) are examined in detail. It is proved that only the true transformations of the spacetime length are in agreement with the special relativity as the theory of a 4D spacetime with the pseudo-Euclidean geometry.
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"abstract": "It is shown in this paper that the difference between the two forms of\nrelativity - the \u0027\u0027true transformation (TT) relativity\u0027\u0027 and - the \u0027\u0027apparent\ntransformation (AT) relativity\u0027\u0027 is essentially caused by the difference in the\nconcept of \\emph{sameness} of a physical system, i.e., of a physical quantity,\nfor different, relatively moving, observers. In the \u0027\u0027TT relativity\u0027\u0027 the same\nquantity for different inertial frames of reference is covariantly defined\nfour-dimensional (4D) tensor quantity, which transforms according to the\nLorentz transformation as the TT. In the \u0027\u0027AT relativity\u0027\u0027 parts of a 4D tensor\nquantity are often considered as the same quantity for different observers,\nalthough they correspond to different quantities in 4D spacetime, and they are\nnot connected by the Lorentz transformation than by the AT. Then the true\ntransformations of a spacetime length and the apparent transformations of a\nspatial distance (the Lorentz contraction) and of a temporal distance (the\nusual dilatation of time) are examined in detail. It is proved that only the\ntrue transformations of the spacetime length are in agreement with the special\nrelativity as the theory of a 4D spacetime with the pseudo-Euclidean geometry.",
"arxiv_id": "physics/0007030",
"authors": [
"Tomislav Ivezic"
],
"categories": [
"physics.class-ph"
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"title": "True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. I. the Theory",
"url": "https://arxiv.org/abs/physics/0007030"
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