If I know x' and t (in a Minkowski diagram), or x and t', how do I find x and t?
(Making a simple Minkowski diagram drawer.)
Edit: Without solving a system of equations.
x' and t

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 testtubegames
 Site Admin
 Posts: 1078
 Joined: Mon Nov 19, 2012 7:54 pm
Re: x' and t
Without solving a system of equations, eh? Well, you'll need to deal with the Lorentz Transformations to be sure. But they aren't too tough (haha... I make myself laugh...). At least what you're looking to do shouldn't be too hard.
Lorentz Transformations
If you check out the equations, using the first one you come across (t' = ...), you'll see that three coordinates are represented. So if you want to find t, start with the equation for t', then rearrange it to find t as a function of t' and x.
Does this make sense / fit what you're trying to do?
Lorentz Transformations
If you check out the equations, using the first one you come across (t' = ...), you'll see that three coordinates are represented. So if you want to find t, start with the equation for t', then rearrange it to find t as a function of t' and x.
Does this make sense / fit what you're trying to do?

 Posts: 523
 Joined: Mon Jun 03, 2013 4:54 pm
Re: x' and t
Looks right!testtubegames wrote:Without solving a system of equations, eh? Well, you'll need to deal with the Lorentz Transformations to be sure. But they aren't too tough (haha... I make myself laugh...). At least what you're looking to do shouldn't be too hard.
Lorentz Transformations
If you check out the equations, using the first one you come across (t' = ...), you'll see that three coordinates are represented. So if you want to find t, start with the equation for t', then rearrange it to find t as a function of t' and x.
Does this make sense / fit what you're trying to do?
It's been so long since I needed simple Algebra
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!
Always check your units or you will have no money!
 testtubegames
 Site Admin
 Posts: 1078
 Joined: Mon Nov 19, 2012 7:54 pm
Re: x' and t
Haha, sure. What exactly are you making with it? (you've got me intrigued)A Random Player wrote: Looks right!
It's been so long since I needed simple Algebra

 Posts: 523
 Joined: Mon Jun 03, 2013 4:54 pm
Re: x' and t
This: I'm running into divide by 0 errors on x and x', and t and t', but that's to be expected.testtubegames wrote:Haha, sure. What exactly are you making with it? (you've got me intrigued)A Random Player wrote: Looks right!
It's been so long since I needed simple Algebra
$1 = 100¢ = (10¢)^2 = ($0.10)^2 = $0.01 = 1¢ [1]
Always check your units or you will have no money!
Always check your units or you will have no money!
 testtubegames
 Site Admin
 Posts: 1078
 Joined: Mon Nov 19, 2012 7:54 pm
Re: x' and t
Neat! At first glance, it looks correct, too... The grid lines angle in like you'd expect.