Real-Time Relativistic Telemetry
γ = 1/√(1-v²/c²)
Lorentz Factor (γ)
1.897
Rest Length (L₀)
120.0 m
Contracted Length (L = L₀/γ)
63.2 m
Tunnel Gate Length
100.0 m
Time Dilation Factor (Δt/Δt₀)
1.897× slower
Forward Doppler Multiplier
3.512× (Blueshift)
✓ CONTRACTED LADDER (63.2m) FITS IN GATE (100m)
Ladder-Tunnel Paradox: From the rest gate frame, the 120m ladder undergoes Lorentz contraction to 63.2m at 0.85c, allowing both gate doors to close simultaneously around it. Relativity of simultaneity resolves frame disagreement!