1. Forum
  2. Usenet
  3. SCI.PHYSICS.RELATIVITY

  • Relativistic invariance of =?UTF-8?Q?accelerations=3F=20?=

    From Richard Hachel@21:1/5 to All on Sat May 18 23:10:52 2024
    Is the acceleration invariant under change of reference frame?
    We imagine an accelerated rocket (starting from rest to simplify).
    We then set x=(1/2)a.Tr²
    Which will result in x=(c²/a).[sqrt(1+a²To²/c²)-1]
    But let's change the frame of reference and assume another frame of
    reference R'
    which sees the distance AB in R move away over O'x' where M is in
    accelerated movement from A towards B.
    Can we consider that in R' this acceleration is constant?
    Doctor Hachel says no.
    I would like to have the opinion on this from the excellent Python, for example.

    R.H.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Mikko@21:1/5 to Richard Hachel on Sun May 19 14:23:42 2024
    On 2024-05-18 23:10:52 +0000, Richard Hachel said:

    Is the acceleration invariant under change of reference frame?

    No, except when the transformation in both reference frames.
    In some cases the magnitude of the acceleration is the same
    but the direction is not.

    We imagine an accelerated rocket (starting from rest to simplify).
    We then set x=(1/2)a.Tr²
    Which will result in x=(c²/a).[sqrt(1+a²To²/c²)-1]
    But let's change the frame of reference and assume another frame of
    reference R'
    which sees the distance AB in R move away over O'x' where M is in
    accelerated movement from A towards B.

    That does not make sense. A distance is a number and therefore in some
    number space where nothing moves. And many of the symbols are undefined
    but used as if they were defined.

    --
    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)