Re: Twin paradox resolved - big error in Relativity !

bz wrote:
> "Thomas" <thomas.smid@xxxxxxxxx> wrote in news:1124533930.622716.184840
> @g44g2000cwa.googlegroups.com:
>
> > Your scan was probably too quick. If you have a look again at the
> > thought experiment suggested by me under >>http://www.physicsmyths.org.uk/timedilation.htm , there are no
> > accelerations involved and the situation is therefore completely
> > symmetric i.e. no frame can be singled out as an inertial frame.
>
> Errors seen on a quick read of your page:
> 1) assumption that mechanical signal propagates at infinite velocity rather
> than the speed of sound in the material.

The speed of propagation is irrelevant in this case assuming the
distance from the trigger point to the clock is identical in each
frame. Both clocks will start and stop with the same delay and it won't
make any difference for the times both clocks show when compared
afterwards (even if the distances are different, you could correct for
this by offsetting the clocks accordingly).


> Also, you have not established the position of
> your observers. Do they ride along with the clock? Then what is seen by one
> will be different from what is seen by the other.

What observers are you talking abou? There are just two clocks which
are started and stopped by triggering each other mutually and which can
be compared afterwards.


>
> 2) A common mistake/complaint that the equations are not linear.
>
> "these are not merely a linear transformation (describing the change in
> distance between two points due to the motion), but they are non-linear in
> the velocity due to an additional factor gamma containing the ratio of the
> velocity and the speed of light.
>
> Einstein's equations are a linear function of position or time at a
> CONSTANT VELOCITY. That is all he claims. That is all he establishs.
>
> Gamma has only one value at a particular velocity. That makes the
> transmformations of location and time linear at that particular velocity in
> the particular direction.
>
> If they were not linear, then one end of the rocket ship would have a
> different dilation factor than the other end, when seen from another FoR.
>
> It is of NO importance that gamma is a non linear function of velocity.
> This does NOT effect the linearity of the transformations of space and time
> AT A CONSTANT VELOCITY.

Just for clarification: I have not questioned that the Lorentz
transformation is linear with regard to the coordinates and time,
merely that it is non-linear in the velocity (you are right that it is
of no particular importance here and I merely mentioned this as an
introduction on my webpage in order to get to the time dilation and
length contraction factor).

Thomas

.

Relevant Pages

  • Re: Twin paradox resolved - big error in Relativity !
    ... Both clocks will start and stop with the same delay and it won't ... >> 2) A common mistake/complaint that the equations are not linear. ... >> in the velocity due to an additional factor gamma containing the ratio ... >> Gamma has only one value at a particular velocity. ...
    (sci.physics.relativity)
  • Re: Twin paradox resolved - big error in Relativity !
    ... assumption that mechanical signal propagates at infinite velocity rather ... independently and both clocks will thus show identical times after having ... You say you avoid 'light signals' but you make yourself dependent ... A common mistake/complaint that the equations are not linear. ...
    (sci.physics.relativity)
  • Re: Twin paradox resolved - big error in Relativity !
    ... Both clocks will start and stop with the same delay and it won't ... >>> in the velocity due to an additional factor gamma containing the ratio ... >>> Gamma has only one value at a particular velocity. ... >>> transmformations of location and time linear at that particular ...
    (sci.physics.relativity)
  • Re: Einsteins lopsided caricature of space and time
    ... and assuming a linear relationship between the coordinate systems, ... >>> aint linear' objection from the start. ... > VELOCITY, gamma is a number. ...
    (sci.physics.relativity)
  • Re: Is the speed of light really constant ?
    ... I was thinking that after an observer changes velocity relative to ... > Suppose that the two observers A and B synchronise their clocks by ... > So SR ends up saying that all observers agree about the local sequence ... still have the problem of Relativity having length contractions whereas the ...
    (sci.physics.relativity)