Семинар за теорију релативности и космолошке моделе, 7. фебруар 2024.
- 06. Фебруар, 2024
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Наредни састанак Семинара биће одржан у среду, 7. фебруара 2024. у сали 301ф Математичког института САНУ, са почетком у 12 часова.
Предавачи: академика проф. др Миодраг Матељевић
Наслов предавања: LORENTZ TRANSFORMATION AND TIME DILATATION 2
Апстракт:
We consider two inertial frames $S$ and $S`$ and suppose that frame $S`$ moves, for simplicity, in a single direction: the $x$-direction of frame $S$ with a constant velocity $v$ as measured in frame $S$.
Using homogenity of space and time we derive modified Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we does not assume the invariant speed of light (in vacuum) under LT. Roughly speaking, we suppose:(H) Any clock which is at rest in its frame measures a small increment of time by some factor $s=s(v)$.
For $s=1$ we get the Galilean transformation of Newtonian physics, which assumes an absolute space and time. We also consider relation between absolute space and Special Relativity Theory, thereafter STR. As a corollary of relativity theory experimentally verified assumption is (TD): (H) holds with Lorentz factor $1/gamma$.
It seems here that we need physical explanation for (TD). We show that (TD) is equivalent with Postulate. The two- way speed is $c$ in any inertial frame.
Note that Postulate 3 is a weaker assumption than Einstein second postulate. We can derive the corresponding (LT) and explain twin paradox. PS. It seems that the main result is: We show that (TD) is equivalent with Postulate: The two- way speed is $c$ in any inertial frame.
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