On Sun, 19 May 2013 04:32:47 -0700 (PDT),
gehan.am...@gmail.com wrote:
>
>>
>> His real aim was to locate two lights on the track, equidistant from the
>> ground observer and separated by the length of the train. The two lights were
>> to emit pulses simultaneaously in the track frame, indicated by the fact that
>> the track observer received them simultaneously.
>> Naturally the train observer would not receive them simultaneously. SO Fxxxx
>> WHAT?
>> Henry Wilson DSc.
>
>Henry asks a good question, quite apart from the expletive, which seems to be common to
some. If the train observer does not see them at the same time, he can assume
two things:
>One is ( based on all the underlying and unstated... under -LYING - , that's so funny, as I
said based on the unstated assumptions) that the two strikes hapenned at
>different times.
>
>We have to be very careful here: the observer on the train sees two strikes at the different
times, one after the other, and makes the assumption that, the ligh emanated
from the track at a point that is rapidly approaching him, and he also assumes
the speed of light to be c, and he projects the path of the light back in
equal distances from him to imagined source points, equidistant from him. Then
>he says, if the light emanated from points equidistant to myself, at any
>point in my history, then they happened at different times.
================
Forget the lightning strikes. They are an unnecesssary complication.
Use two flash lights that are equidistant from the track observer and which
emit a repetitive stream of flashes towards each other. They are at rest with
that observer and since he receives their signals simultaneously, they must
have been emitted simultaneously in his frame.
The train observer is aware of two flashing light sources, one approaching,
one receding. He does not receive their flashes simultaneously. In fact he
sees them arriving at different frequencies. Now the problem is for that
observer to calculate what each source is REALLY doing.
Sa--vt--Sr->_____(c+v)t-vt______________O
Consider a light source S, moving at a true speed of v in observer O's frame.
S emits light at c+v towards O.
Let a flash F1, be emitted at time t0 from point Sa. By the time F1 reaches O,
the source will have moved to point Sr...but O sees it at point Sa.
The problem for O is to calculate the REAL speed, Vr, from its APPARENT speed,
Va.
Assume time is universal and the flash takes time t to move from Sa to O at
speed c+v.
In that time, the source will move a distance vt from Sa to Sr.
We have:
APPARENT distance, Da = OSa = (c+v)t.
REAL distance, Dr = OSr = (c+v)t - vt = ct
Dr = c/(c+v).Da
In other words, if the source's APPARENT distance at any time is X, its REAL
distance is Xc/(c+v)
Since c and v are constant, d(Dr)/dt = c/(c+v). d(Da)/dt
Or Vr = Va.c/(c+v)
....which is just the Doppler equation.
Thus, an approaching object will appear to be further away and moving faster
than it really is.
Getting back to the train experiment, it can be shown that the train observer
can use logic similar to the above to calculate that pairs of flashes emitted
simultaneously in the ground frame did just that even though he received them
at different instants.
(I wont show how here.)
>There are a lot of assumptions here, but see if you agree with this, and I can
> elaborate on my idea.
>
>Actually the observer on the train just sees two bright flashes of light, one after
the other, and
he does not know the distance to each of the flashes, nor if he is travelling
>toward one of the flashes, only that the speed of light is constant wrt him.
He does not know that, at all !!!!!!!
He sees the source moving towards him and knows that its light is moving at
c+v towards him....but he must correct APPARENT speed into REAL speed to
assess simultaneity.
Complicated stuff, eh?
> If a lack of c+v is the only criteria for determining if one is moving or not, then
> one can be fooled, basically if you are using the c+v speed of light to build a
> speedometer then you will fail
Henry Wilson DSc.