MinkDiag

$$ ct' = \gamma\left(ct-\frac{v}{c}x\right), \ x'=\gamma\left(x-\frac{v}{c}ct\right) $$ $$ ct = \gamma\left(ct'+\frac{v}{c}x'\right), \ x=\gamma\left(x'+\frac{v}{c}ct'\right) $$ $$ \frac {v} {c} = \tan\theta, \ \ \ \gamma=\frac{1}{\sqrt{1-\frac{v^2}{c^2}}} $$

$v/c$	$\gamma$	$\theta \text{ (deg)} $
{{data.velocity}}	{{data.lorentz}}	{{data.angle}}

Origins $O, O'$ coincide at $ct=ct'=0$. Axes have units of length (e.g. light-years).

$ct$ axis yields $\Delta t'=\gamma \Delta t=\gamma \Delta t_{\rm p}$,
$ct'$ axis yields $\Delta t=\gamma \Delta t'=\gamma \Delta t_{\rm p}$,
$x$ axis yields $\Delta x'=\gamma\Delta x=L_{\rm p}$,
$x'$ axis yields $\Delta x=\gamma\Delta x'=L_{\rm p}$.

Click to place, or remove, a labeled point.

$\text{label}$	$(x, ct)$	$(x', ct')$
A	({{data.Ax0}}, {{data.At0}})	({{data.Ax1}}, {{data.At1}})
B	({{data.Bx0}}, {{data.Bt0}})	({{data.Bx1}}, {{data.Bt1}})
C	({{data.Cx0}}, {{data.Ct0}})	({{data.Cx1}}, {{data.Ct1}})
D	({{data.Dx0}}, {{data.Dt0}})	({{data.Dx1}}, {{data.Dt1}})
E	({{data.Ex0}}, {{data.Et0}})	({{data.Ex1}}, {{data.Et1}})
F	({{data.Fx0}}, {{data.Ft0}})	({{data.Fx1}}, {{data.Ft1}})
G	({{data.Gx0}}, {{data.Gt0}})	({{data.Gx1}}, {{data.Gt1}})

Interactive Minkowski Diagram