Seminar za teoriju relativnosti i kosmološke modele, 7. februar 2024.
- 06. Februar, 2024
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Naredni sastanak Seminara biće održan u sredu, 7. februara 2024. u sali 301f Matematičkog instituta SANU, sa početkom u 12 časova.
Predavači: akademika prof. dr Miodrag Mateljević
Naslov predavanja: LORENTZ TRANSFORMATION AND TIME DILATATION 2
Apstrakt:
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.
Napomena: Seminar je moguće pratiti na daljinu putem linka:
https://miteam.mi.sanu.ac.rs/call/yujMwF3JyYqzw6Jth/2m0heDiyDRqBDFTDIItulzyPrdbs5PT8mt_WmgRpRgr
Registracija za učešće na seminaru je dostupna na sledećem linku:
https://miteam.mi.sanu.ac.rs/asset/CyzPn2zriMsWWNzii
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