dorsal/arxiv
View SchemaAccelerated motion and special relativity transformations
| Authors | A. A. Ketsaris |
|---|---|
| Categories | |
| ArXiv ID | physics/9907037 |
| URL | https://arxiv.org/abs/physics/9907037 |
Abstract
Transformation rules for coordinates, velocities and accelerations in accelerated reference frames are derived. A generalized approach of the special relativity is taken for a basis. A 7-dimensional space including projections of velocity vector as three additional coordinates to time and geometric coordinates is studied. Turns in pseudoplane (dt,dv) of this 7-space describe accelerated motion of frame. In addition to the light velocity, the transformation formulas contain a fundamental constant which has a meaning of maximal acceleration. It is demonstrated that if a source of light moves with acceleration with respect to some reference frame, the light velocity in this frame is less than the constant $c$ and depends on acceleration. The special relativity relation between energy, impulse, and mass gets changed for particle in accelerated motion. A generalized wave operator being invariant to the above transformations is introduced. The components of tensor and of potential of electromagnetic field get intermixing in transformation relations for accelerated frame.
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"abstract": "Transformation rules for coordinates, velocities and accelerations in\naccelerated reference frames are derived. A generalized approach of the special\nrelativity is taken for a basis. A 7-dimensional space including projections of\nvelocity vector as three additional coordinates to time and geometric\ncoordinates is studied. Turns in pseudoplane (dt,dv) of this 7-space describe\naccelerated motion of frame. In addition to the light velocity, the\ntransformation formulas contain a fundamental constant which has a meaning of\nmaximal acceleration. It is demonstrated that if a source of light moves with\nacceleration with respect to some reference frame, the light velocity in this\nframe is less than the constant $c$ and depends on acceleration. The special\nrelativity relation between energy, impulse, and mass gets changed for particle\nin accelerated motion. A generalized wave operator being invariant to the above\ntransformations is introduced. The components of tensor and of potential of\nelectromagnetic field get intermixing in transformation relations for\naccelerated frame.",
"arxiv_id": "physics/9907037",
"authors": [
"A. A. Ketsaris"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"title": "Accelerated motion and special relativity transformations",
"url": "https://arxiv.org/abs/physics/9907037"
},
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