分形维时空中的引力理论与修正的Lorents变换
The Theory of Gravitation in the Space - Time with Fractal Dimensions and Modified Lorents Transformations
摘要：
在具有分数维的空间和时间中，Lorents变换仅作为一种好的方法来实现，并且仅当维数为整数时才变得精确。因此，相对性原理（当维数为整数时，它是精确的）也可以被视为一个很好的近似，并且在对时间和空间的整数维进行小的分数修正的情况下仍然有效（但被修改）。本文在作者早期发展的时空分形理论的基础上，提出了分形时空中的引力场论。在理论中考虑了包含$v=c$的Lorents变换的变化，并描述了定义在Riemann或Minkowski测度载体上的分形时间中自旋为2的实引力场。在理论中引入了新的“准自旋”，给出了四个引力场方程（具有不同的“准自旋”和实能量和虚能量）。对于整数维，该理论与Einstein GR或Logn-Mestvirichvili引力理论一致.
英文摘要：
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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