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Old February 2nd 08 posted to sci.physics.relativity
snapdragon31
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Default GPS CLOCK PARADOX

On Jan 31, 2:47*am, "Dirk Van de moortel" dirkvandemoor...@ThankS-NO-
SperM.hotmail.com wrote:
"snapdragon31" wrote in ...

[snip]

Hi Dirk Vdm,


Do you know relativity? *I am not interested in discussing relativity
with someone who does not even know what the length contraction and
time dilation equations are.
The formula of the length contraction can be found at
http://en.wikipedia.org/wiki/Length_contraction
The equation for the time dilation can be found at
http://en.wikipedia.org/wiki/Time_dilation


Yes, I put them in that format.
Look again.You wrote:

* * x' = x * sqrt(1 - v^2/c^2) Length contraction
* * t' = t * sqrt(1 - v^2/c^2) Time dilation,

Now *carefully* compare with the Wiki-entries.
And read the *meanings* of the variables and the text.

For length contraction it says:
* "Also note that for the observer in relative movement, the length of
* *the object is measured by subtracting the simultaneously measured
* distances of both ends of the object".
"Simultaneously measured" is modeled in *your* equation by t' = 0.
In the wiki it would be Delta(t') = 0

For time dilation you have multiplied here. The wiki divides, so you
have swapped primed with unprimed.
For time dilation it says:
* *"time interval between two colocal events (i.e. happening at the
* * same place)".
"At the same place" is modeled in *your* equation by x' = 0.
In the wiki (but with primed and unprimed swapped) it would
be Delta(x) = 0

Now look at this:
*http://en.wikipedia.org/wiki/Special...lation_and_len....
Where L and L' are written as Delta(x) and Delta(x')
Don't forget that you have swapped primed with unprimed
in the case of time dilation.

Of course you hate equations.
You understand nothing about these equations.
Before you write an equation, you should understand what
the variables mean.
So next time, READ THE WORDS.
Physics is not an exercise in algebra.
As I told you before, *that* is your problem.

Dirk Vdm


Dirk Vdm

In the original posting, it was clearly defined as
x = distance measured by stationary twin S
t = time measured by twin S
x' = distance measured by twin M
t' = time measured by twin M

If you do not understand what distance means please go back and study
the grade school physics.

Both twins started at the same place and time.
x_0 = 0
t_0 = 0
x_0' = 0
t_0' = 0
delta x = x_1 - x_0 = x_1
This delta x or x_1 can be represented by d, L, s or x

Similarly,
delta t = t_1 - t_0 = t_1
This delta t or t_1 is represented the symbol t here.
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