Simulation: Relativity Clock Lab
Vary beta = v/c and compare proper-time and coordinate-time intervals through the gamma factor.
Appears in: 6.2 Time Dilation and Length Contraction, 6.3 Velocity Addition and Simultaneity, 6.4 Spacetime Diagrams and Causality
Relativity Clock + Spacetime Lab
γ
1.4003
v
0.700 c
v (m/s)
2.099e+8
t from τ
14.00 s
If the ship measures τ = 10.0 s, the lab measures t = γτ = 14.00 s. If the lab measures t = 10.0 s, ship proper time is τ = t/γ = 7.14 s.
Minkowski diagram (x, ct)
This diagram is coordinate-based: the same event pair gets different simultaneity slices in S and S′, while light-cone boundaries preserve causal structure.