dorsal/arxiv
View Schema"True Transformations Relativity" and Electrodynamics
| Authors | Tomislav Ivezic |
|---|---|
| Categories | |
| ArXiv ID | physics/0012048 |
| URL | https://arxiv.org/abs/physics/0012048 |
| Journal | Found.Phys. 31 (2001) 1139-1183 |
Abstract
Different approaches to special relativity (SR) are discussed. The first approach is an invariant approach in which physical quantities in the four-dimensional spacetime are represented by true tensors or equivalently by coordinate-based geometric quantities comprising both components and a basis. This approach we call the ''true transformations (TT) relativity.'' It is compared with the usual covariant approach, which mainly deals with the basis components of true tensors. The third approach is the usual noncovariant approach to SR in which some quantities are not tensor quantities, but rather quantities from ''3+1'' space and time, e.g., the synchronously determined spatial length. This formulation is called the ''apparent transformations (AT)\ relativity.'' The spacetime length is considered in the ''TT relativity'' and spatial and temporal distances in the ''AT relativity.'' It is also found that the usual transformations of the three-vectors of the electric and magnetic fields $\QTR{bf}{E}$ and $\QTR{bf}{B}$ are the AT. The Maxwell equations with $F^{ab}$ are written in terms of the 4-vectors of the electric $E^{a}$ and magnetic $B^{a}$ fields. The covariant Majorana electromagnetic field 4-vector $\Psi ^{a}$ is constructed by means of 4-vectors $E^{a}$ and $B^{a}$ and the covariant Majorana formulation of electrodynamics is presented. A Dirac like relativistic wave equation for the free photon is obtained.
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"abstract": "Different approaches to special relativity (SR) are discussed. The first\napproach is an invariant approach in which physical quantities in the\nfour-dimensional spacetime are represented by true tensors or equivalently by\ncoordinate-based geometric quantities comprising both components and a basis.\nThis approach we call the \u0027\u0027true transformations (TT) relativity.\u0027\u0027 It is\ncompared with the usual covariant approach, which mainly deals with the basis\ncomponents of true tensors. The third approach is the usual noncovariant\napproach to SR in which some quantities are not tensor quantities, but rather\nquantities from \u0027\u00273+1\u0027\u0027 space and time, e.g., the synchronously determined\nspatial length. This formulation is called the \u0027\u0027apparent transformations (AT)\\\nrelativity.\u0027\u0027 The spacetime length is considered in the \u0027\u0027TT relativity\u0027\u0027 and\nspatial and temporal distances in the \u0027\u0027AT relativity.\u0027\u0027 It is also found that\nthe usual transformations of the three-vectors of the electric and magnetic\nfields $\\QTR{bf}{E}$ and $\\QTR{bf}{B}$ are the AT. The Maxwell equations with\n$F^{ab}$ are written in terms of the 4-vectors of the electric $E^{a}$ and\nmagnetic $B^{a}$ fields. The covariant Majorana electromagnetic field 4-vector\n$\\Psi ^{a}$ is constructed by means of 4-vectors $E^{a}$ and $B^{a}$ and the\ncovariant Majorana formulation of electrodynamics is presented. A Dirac like\nrelativistic wave equation for the free photon is obtained.",
"arxiv_id": "physics/0012048",
"authors": [
"Tomislav Ivezic"
],
"categories": [
"physics.class-ph",
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],
"journal_ref": "Found.Phys. 31 (2001) 1139-1183",
"title": "\"True Transformations Relativity\" and Electrodynamics",
"url": "https://arxiv.org/abs/physics/0012048"
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