Gravitational Time Dilation Explorer

GR metric g₀₀
Counterfactual Scenarios:
🖱️ Drag Clocks A & B to alter gravitational potential ⚡ Laser Sync Beam shows photon propagation delay
Atomic Clock Telemetry ● RUNNING
Clock A (Lower) 0 m
0.000000000 s
Proper Time Factor dτ/dt: 1.000000000
Clock B (Higher) 1.8 m
0.000000000 s
Proper Time Factor dτ/dt: 1.000000000
Observed Time Divergence (B − A)
+0.0000 ns
Clock B ages faster than Clock A
Celestial & Simulation Physics
Celestial Body Mass 1.00 M⊕
Body Radius 6,371 km
Simulation Time Warp 1,000,000x
General Relativity Metric

In a static, spherically symmetric mass distribution, Schwarzschild spacetime metric component $g_{00}$ determines proper time interval $\tau$ relative to coordinate time $t$:

dτ/dt = √(1 - 2GM / (r · c²))

Because gravity drops off with radial distance $r$, higher altitude clocks sit at weaker gravitational potentials and tick faster relative to lower clocks.

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