Seminar for
RELATIVITY THEORY AND COSMOLOGICAL MODELS
PROGRAM
Plan rada Seminara za teoriju relativnosti i kosmološke modele za FEBRUAR 2024.
Ukoliko Ste već registrovani predavanje na daljinu možete pratiti na sledećem linku (nakon što se ulogujete):
https://miteam.mi.sanu.ac.rs/asset/QPYfBbqdhTF5spTAt
Registracija za učešće na seminaru je dostupna na sledećem linku:
https://miteam.mi.sanu.ac.rs/asset/CyzPn2zriMsWWNzii
Neulogovani korisnici mogu pratiti predavanje na ovom linku (ali ne mogu postavljati pitanja оsim putem poruka):
https://miteam.mi.sanu.ac.rs/call/yujMwF3JyYqzw6Jth/2m0heDiyDRqBDFTDIItulzyPrdbs5PT8mt_WmgRpRgr
Sreda, 07.02.2024. u 12:00, Sala 301f, MI SANU, Kneza Mihaila 36 i Online
Miodrag Mateljevic, Matematicki fakultet, Univerzitet u Beogradu
LORENTZ TRANSFORMATION AND TIME DILATATION 2
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.
Predavanja su namenjena sirokom krugu slusalaca, ukljucujuci studente redovnih i doktorskih studija. Seminar će se održavati po najavi: sredom u 12:00h, sala 301f Matematikog instituta SANU, III sprat, Knez Mihailova 36.