Thank you phyzguy, it helps a lot!
Now I've understood my mistake and I can go on, and find other mistakes... :smile:
For example, from
{(ct')^{2} - x'^{2} = - x^{2}}
can one really find t' without using the Lorentz transformations? I thought yes, but how to...
Thank you; have you please the patience to help me again?
My aim is to find t' using the invariance of the space time interval.
This interval calculated in S is x2.
This interval in S' should be x'2 - t'2.
It should be x'2 - t'2 = x2.
S' moves wrt S at velocity v, so, as I...
Hallo.
A question about the relationship between the formulas found using the Lorentz transform and the invariance of the space time interval.
Two events A and B occur at the same time and different space locations in system S, where A and B are at rest and at distance x.
The system S'...
You're right, I forgot a minus sign...
(CT)2 - (ABc)2 = - (AB)2
that is
(CT)2 = (AB)2 (\frac{1}{\gamma^{2}} - 1) (<0 but no more a problem...)
Yes, I must admit!
er
Very good! Now I can do my simple calculation without harm!
Thank you!
Here perhaps I can help you: From the invariance of the spacetime interval
(CT)2 - (ABc)2 = (AB)2
(and without problems arising from the 'negative square'...) one can immediately find T... or not?
Ciao
er
Thank you.
My point (now) is not to *find* a number, but only to understand: By using the invariance of the spacetime interval, all quantities in SR kinematics can be found, as I've understood. So my question, that perhaps you have already answered, is: Why have I a negative square in this...
Thank you
With this signature (+,-,-,-) a SPACElike interval is negative, and this is our case.
And for sure (CT)2 = (ABC)2 - (AB)2 IS negative.
What I find very interesting in your answer is when you say: "just ignore the sign, take the square root, the put the sign back"... Really so...
Hallo
I'm new to this (wonderful) forum, and to SR too...
I've a general question about the space time interval invariance.
Say we have two points A and B, at rest each other, at distance AB.
Now A and B simultaneously in their reference frame emit a flash of light.
The space time interval...