Look at my [POST=2958193]response[/POST] again, to which you have never adequately replied.Look my post again: [POST=2928447]Lorentz's error[/POST].
Yes, this is a simple highschool kinematics problem that has nothing to do with the definition of Lorentz transforms. You solve this problem in relativity exactly the same way you would have done it in highshool. You have (implicitly) asked the problem in just one reference frame - the one in which the dog is running at c, the travellers are both moving with velocity v, and they're a distance L from one another. You only need a Lorentz transformation or Poincaré transformation if you've calculated when these events occur in the reference frame you set the problem up in, and you want to know how a different observer will view the same things. This:I remind to you of a school-task about the two foot-passengers and the dog:
1. Two travelers go on the road with the same velocity ($$v$$) at a distance ($$L$$) from each other (one behind the other).
2. A dog runs between travelers (at velocity $$c$$).
QUESTION: how long time the dog ran ahead, and how long - ago.
Every schoolboy knows the answer to this ask: ldog's time will be different because:
1. When the dog runs back (to meet to lagging-traveler) - the dog's time will be the lesser: $$T_1=L/(c+v)$$.
2. When the dog runs forward (to rush to the advance-traveler) - the dog's time will be the greater: $$T_2=L/(c-v)$$.
is a completely meaningless application of (*). Einstein, Lorentz, and Minkowski say no such thing for your problem. You've completely misunderstood what a Lorentz transformation is and when you actually need to apply one.$$x^2-(ct)^2=0$$
$$t_1=L/c$$
$$t_2=L/c$$
At least get the man's name right. It's "Lorentz", ok?Masterov said:Lorenz argues that both times will be the same.
3. Distances are different and may not be the same.Look again:
1. Speed of red dot is equal in both directions.
2. Times are different and may not be the same.
Masterov is wrong, as demonstrated in many posts which he has simply ignored.Lorenz was wrong.
Lorentz transformations are the result of the expression: $$(ct')^2 - x'^2 = (ct)^2 - x^2$$At least get the man's name right. It's "Lorentz", ok?Lorenz argues that both times will be the same.
Can you provide evidence to back up your claim that "Lorentz argues that both times will be the same" from the literature?
And can you clarify for what kind of observer (in which frame of reference) Lorentz claims this? Unless of course your literature reference makes this clear.
If you can do neither, then you're just waving your arms around and making strange noises.
Slowing down time (and for a speed of light was constant) can not to do so: $$t'_1=t'_2$$Masterov is wrong, as demonstrated in many posts which he has simply ignored.
You don't even understand the equation you're using.Lorentz transformations are the result of the expression: $$(ct')^2 - x'^2 = (ct)^2 - x^2$$
From this expression it follows that for all speeds: $$t_1=t_2$$ and $$t'_1=t'_2$$
It is impossible. If $$v\neq 0$$ then $$t'_1\neq t'_2$$
This expression ($$(ct')^2 - x'^2 = (ct)^2 - x^2$$) is a mistake.
Hence the Lorentz transformations are a mistake.
Slowing down time (and for a speed of light was constant) can not to do so: $$t'_1=t'_2$$
$$t'_1=L/(c+v)$$You don't even understand the equation you're using.
$$
\begin{eqnarray}
x_{1} &=& - \frac{L}{1 + v/c} \,, \quad & t_{1} &=& \frac{L}{c + v} \,, \\
x_{2} &=& \frac{L}{1 - v/c} \,, \quad & t_{2} &=& \frac{L}{c - v} \,.
\end{eqnarray}
$$
I do not understand it.przyk has shown, line by line, how the maths works. Your inability or unwillingness to apply equations correctly doesn't mean relativity is wrong because of it. I can't speak Japanese, doesn't mean it isn't a valid language (and yes, for those of you who read most of my posts I do like using that example....).
Remember how you said that the internet means people can found out if scientists are lying, via the free exchange of information. That works both ways, people can find out when you're lying too and you're lying now.
You don't even understand the equation you're using.
$$
\begin{eqnarray}
x_{1} &=& - \frac{L}{1 + v/c} \,, \quad & t_{1} &=& \frac{L}{c + v} \,, \\
x_{2} &=& \frac{L}{1 - v/c} \,, \quad & t_{2} &=& \frac{L}{c - v} \,.
\end{eqnarray}
$$
In a boosted frame moving at velocity v, $$L' = \gamma L$$ (from length contraction), and:
$$
\begin{eqnarray}
x'_{1} &=& - \gamma L \,, \quad & t'_{1} &=& \gamma L/c \,, \\
x'_{2} &=& \gamma L \,, \quad & t'_{2} &=& \gamma L/c \,.
\end{eqnarray}
$$
So:
$$
\begin{eqnarray}
(ct'_{1})^{2} \,-\, (x'_{1})^{2} &=\, 0 \, =& (ct_{1})^{2} \,-\, (x_{1})^{2} \,, \\
(ct'_{2})^{2} \,-\, (x'_{2})^{2} &=\, 0 \, =& (ct_{2})^{2} \,-\, (x_{2})^{2} \,.
\end{eqnarray}
$$
It works out fine, if you apply the equation correctly.
przyk has shown, line by line, how the maths works. Your inability or unwillingness to apply equations correctly doesn't mean relativity is wrong because of it. I can't speak Japanese, doesn't mean it isn't a valid language (and yes, for those of you who read most of my posts I do like using that example....).
Remember how you said that the internet means people can found out if scientists are lying, via the free exchange of information. That works both ways, people can find out when you're lying too and you're lying now.
Ahem:
If: In a boosted frame moving at velocity v, $$L' = \gamma L$$ (from length contraction)
then: $$L = L' / \gamma $$.
The primed frame is whatever I say it is when I'm the one who defined the frame.This statement is in error.
In a boosted frame moving at velocity v, $$L' = \gamma L$$ (from length contraction),
The primed from is always the other/moving frame.
You should think more instead of copying equations without understanding what they mean.
That's a complete non-sequitor. Good logic.If you cannot understand this simple math error, then how could you possibly think you know Cantor';s argument is correct? In fact, it is not.
No, it was shut down because you repeatedly behaved like a troll. You refused to answer direct questions. You refused to respond to line by line corrections. You refused to engage in honest discussion. You acted, and still act, like a troll.Then you shut down a thread because of a math error you made like above.
Firstly, that's more trolling behaviour. And secondly, you've already shown that you couldn't even understand what people were saying to you. The "add it to the end of the list" argument fails and you had why explained to you. When you now recall the discussion you misrepresent what was said to you, showing you didn't understand and haven't made any attempt to. You obviously don't even know what 'proof by contradiction' is, which illustrates how poor your maths skills are. Until you can demonstrate you're able to discuss things honestly and coherently you're not going to be allowed in the main maths and physics forum. Your behaviour here only serves to show that policy is completely correct.Open it back up and prove you know how it all works using a superior intelligence. You are not afraid are you?
Master Theory relieve many minds of physicists from rubbish
Newtonian physics is refuted by a lot more than just the Michelson-Morley experiment. And relativity is supported by a lot more than just the Michelson-Morley experiment.Master Theory did a small corrections to Newtonian physics, which do reconciliation Newton with Michelson-Morley experiment.
Well, phone up the people maintaining the GPS, or who work at institutions like CERN and Fermilab and DESY, or even just anyone involved in designing or operating electron microscopes or medical accelerators, and you explain that to them.Master Theory relieve many minds of physicists from rubbish, which Einstein (and his followers) generate one hundred years.