Re: GPS CLOCK PARADOX

On Jan 30, 4:40 am, "Dirk Van de moortel" <dirkvandemoor...@ThankS-NO-
SperM.hotmail.com> wrote:
"snapdragon31" <snapdrago...@xxxxxxxxx> wrote in messagenews:185c9dbf-f01c-4681-b266-a9bf152d5c92@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

[snip]

Yes, there are tons of solutions to the twin paradox but none of them
is a valid solution.
Let me show you why it is a logical problem that has no solution.
Assuming that Lorentz transformation can predict the time and distance
of the other frame.
Let v = velocity of the moving twin M
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

The information we have is:
1. v - velocity of moving twin.
2. x = v * t

This equation is valid for events satisfying
        x' = 0,
expressing the fact that is the velocity of the origin of
the primed system is v w.r.t. the unprimed system

3. x' = v * t'

Expressing the (erroneous) fact that is the velocity of
the origin of the unprimed system is *also* v w.r.t.
the primed system. That is wrong. The velocity is -v
This is your first error.

Please note that x' is defined as a distance measured by twin M not
displacement.
Both x and x' are not vectors.
A more correct equation should be
x' = |v| * t'
distance = speed * time


4. x' = x * sqrt(1 - v^2/c^2)

Only valid for events satifying
        t' = 0
Exercise: Why?

x' = x * sqrt(1 - v^2/c^2) Length contraction


5. t' = t * sqrt(1 - v^2/c^2)

Only valid for events satisfying
        x' = 0
Exercise: Why?


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

So if you combine equations 4 and 5, you are  talking about
events that satisfy
        x' = 0
        t' = 0
and therefore also
        x = 0
        t = 0
Exercise: Why?

Congratulations.


Congratulation, you figure out that both the Length Contraction and
Time Dilation equations can be true only when x' = 0, x = 0, t' = 0
and t = 0. If they are not valid equations then twin paradox is not a
paradox any more.



I hate equations.

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

Dirk Vdm

.

Relevant Pages

  • OBarr: In Special Relativity, Velocity is not always Relative.
    ... Velocity is not always Relative. ... one must conclude that the paradox of the ... , and twin B, in two new inertial ... frames, moves to a distant point and returns. ...
    (sci.physics.relativity)
  • Re: GPS CLOCK PARADOX
    ... Let v = velocity of the moving twin M ... This equation is valid for events satisfying ... the primed system is v w.r.t. the unprimed system ...
    (sci.physics.relativity)
  • Re: GPS CLOCK PARADOX
    ... >> Let v = velocity of the moving twin M ... > expressing the fact that is the velocity of the origin of ... > the primed system is v w.r.t. the unprimed system ... > Exercise: Why? ...
    (sci.physics.relativity)
  • Re: GPS CLOCK PARADOX
    ... Let me show you why it is a logical problem that has no solution. ... Let v = velocity of the moving twin M ... the primed system is v w.r.t. the unprimed system ...
    (sci.physics.relativity)
  • Re: The religious worship of SR.
    ... But faith in a scientific theory is ... there is a principle that velocity is ... the identical relative velocity as twin B, ...
    (sci.physics.relativity)
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