Minkovski-Diagramme

$t{^'}$

$x{^'}$

Weltlinie des Lichtes

Weltlinie des Lichtes

x

t

E(0,1)

1s

1s

E(1,0)

1 Ls

1 Ls

Relativität der Gleichzeitigkeit

v = 120000 (slider from 0 to 300000, step 1000)
c: 300000
k: 1 / sqrt(1 - (v / c)^(2))
x_1: (k * v)
y_1: k
E_t: (x_1, y_1)
f = Ray((0, 0), E_t)
x_2: (k * c)
y_2: (k * v / c)
E_x: (x_2, y_2)
g = Ray((0, 0), E_x)
h: y = (1 / 300000 * x)
i: y = (-1 / 300000 * x)
j: y = 0
l: x = 0
A: (0, 1)
O: (0, 0)
m = Segment(O, A)
n = Segment(O, E_t)
B: (300000, 0)
p = Segment(O, B)
q = Segment(O, E_x)
Text3: "v=" + v + " km/s"
M = Midpoint(O, E_x)
r = Line(M, i)
s = Line(M, h)
t = Line(M, f)
a = Line(E_x, n)
S_2 = Intersect(s, a)
S_1 = Intersect(r, f)
b = Segment((0, y(S_1)), S_1)
d = Segment((0, y(S_2)), S_2)
e = true