- #1
Stephanus
- 1,316
- 104
Dear PF Forum,
First, I'd like to thanks this forum for helping this much and so far.
I have a question about Lorentz Transformation. Lots of questions actually
http://en.wikipedia.org/wiki/Lorentz_transformation#Boost_in_the_x-direction
Instead of using t and x, I'd like to use ta and xa, and instead of using t' and x' I'd like to use tb and xb
So here is the equation.
##t_b = \gamma(t_a - \frac{v_ax}{c^2})##
##x_b = \gamma(x - v_at_a)##
##y_b = y_a##, won't be used
##z_b = z_a##, won't be used
okay...
##\gamma \text{ is } \frac{1}{\sqrt{1-\frac{v_a^2}{c^2}}}##
Before I go any further, can I just use 2 dimensions?
1 time and 1 spatial (x), without y and z?
And after this thread, I'd like to go back to my previous threads to understand them
Twin Paradox asymmetry
Twin Paradox symmetry
Motion in space
Lorentz and Doppler
Universe Frame of Reference.
But before those, I'd like to understand Lorentz first.
Thanks
First, I'd like to thanks this forum for helping this much and so far.
I have a question about Lorentz Transformation. Lots of questions actually
http://en.wikipedia.org/wiki/Lorentz_transformation#Boost_in_the_x-direction
Instead of using t and x, I'd like to use ta and xa, and instead of using t' and x' I'd like to use tb and xb
So here is the equation.
##t_b = \gamma(t_a - \frac{v_ax}{c^2})##
##x_b = \gamma(x - v_at_a)##
##y_b = y_a##, won't be used
##z_b = z_a##, won't be used
okay...
##\gamma \text{ is } \frac{1}{\sqrt{1-\frac{v_a^2}{c^2}}}##
Before I go any further, can I just use 2 dimensions?
1 time and 1 spatial (x), without y and z?
And after this thread, I'd like to go back to my previous threads to understand them
Twin Paradox asymmetry
Twin Paradox symmetry
Motion in space
Lorentz and Doppler
Universe Frame of Reference.
But before those, I'd like to understand Lorentz first.
Thanks
Last edited: