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Old February 9th 08 posted to sci.physics.relativity
Jeckyl
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Posts: 8,421
Default Time Dilation achieves isotropic Speed

"snapdragon31" wrote in message
...
On Feb 4, 12:50 am, "Jeckyl" wrote:
All calculations were based on the equations you provided. It showed
that your equations failed to work properly.


As you were already told .. the equations are correct .. but you put the
wrong value into them . .you have to *understand* what they are for .. not
just plug in any old value and expect a results

You don't understand time dilation and simulatneity .. t is less that t'
because we are looking at different positions in space


Unfortunately, your equations were not correct.


No .. theey were correct

I could not show you
that the time dilation was not given by the formula t = gamma * t'
based on your formula.


unlikely

Given v = 2E8 m/s, c = 3E8 m/s and x' = 100m
t' = x'/c = 3.33E-7 sec
Using Lorentz transformation to work backward, we get
x = gamma * (x' + v * t') = 223.61 m and
t = gamma * (t' + v * x' / c^2) = 7.45E-7 sec
t = 7.45E-7 sec t' = 3.33E-7 sec sorry your statement of t is less
than t' is not correct.


You still fail to understand what the equations are telling you

t/t' = 2.236 which is not equal to gamma (= 1.342)
2.236 = sqrt((c + v)/(c - v))
1.342 = gamma = 1 / sqrt(1 - v^2/c^2)

Interesting? The ratio between t and t' is not equal to gamma? It is
not a surprise if you understand Lorentz transformation thoroughly.


I do .. you clearly do not .. you keep coming out with all this crap and
misapplying the equations because *you* do not know how to use them.

x must be greater than x', right?

At least you're thinking .. but you need to do some more learning first.

The idea of length elongation seems a bit difficult to you.


Because it is wrong

Just leave it until you fully understand the Lorentz transformation
and time dilation.


I do .. you do not

One recommendation is to plug numbers into equations
to get a better feeling of what they are.


I have .. many times .. your problem is you plug numbers in WITHOUT
UNDERSTANDING what you are plugging them in to, so you end up not
understanding the results. And worse.. you then publicise your errors to
the world



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