dorsal/arxiv
View SchemaThe Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations
| Authors | L. Ya. Kobelev |
|---|---|
| Categories | |
| ArXiv ID | physics/0006029 |
| URL | https://arxiv.org/abs/physics/0006029 |
Abstract
In the space and the time with a fractional dimensions the Lorents transformations fulfill only as a good approach and become exact only when dimensions are integer. So the principle of relativity (it is exact when dimensions are integer) may be treated also as a good approximation and may remain valid (but modified) in case of small fractional corrections to integer dimensions of time and space. In this paper presented the gravitation field theory in the fractal time and space (based on the fractal theory of time and space developed by author early). In the theory are taken into account the alteration of Lorents transformations for case including $v=c$ and are described the real gravitational fields with spin equal 2 in the fractal time defined on the Riemann or Minkowski measure carrier. In the theory introduced the new "quasi-spin", given four equations for gravitational fields (with different "quasi spins" and real and imaginary energies). For integer dimensions the theory coincide with Einstein GR or Logunov- Mestvirichvili gravitation theory.
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"abstract": "In the space and the time with a fractional dimensions the Lorents\ntransformations fulfill only as a good approach and become exact only when\ndimensions are integer. So the principle of relativity (it is exact when\ndimensions are integer) may be treated also as a good approximation and may\nremain valid (but modified) in case of small fractional corrections to integer\ndimensions of time and space. In this paper presented the gravitation field\ntheory in the fractal time and space (based on the fractal theory of time and\nspace developed by author early). In the theory are taken into account the\nalteration of Lorents transformations for case including $v=c$ and are\ndescribed the real gravitational fields with spin equal 2 in the fractal time\ndefined on the Riemann or Minkowski measure carrier. In the theory introduced\nthe new \"quasi-spin\", given four equations for gravitational fields (with\ndifferent \"quasi spins\" and real and imaginary energies). For integer\ndimensions the theory coincide with Einstein GR or Logunov- Mestvirichvili\ngravitation theory.",
"arxiv_id": "physics/0006029",
"authors": [
"L. Ya. Kobelev"
],
"categories": [
"physics.gen-ph"
],
"title": "The Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations",
"url": "https://arxiv.org/abs/physics/0006029"
},
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