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Black Holes: Physics, Structure, and Theory

1Introduction to Black Holes and Historical Context2Foundations of General Relativity3The Schwarzschild Solution4Geometry of Spacetime and Tidal Forces5Rotating Black Holes: The Kerr Metric6Black Hole Thermodynamics7Hawking Radiation and Quantum Effects8The Information Paradox9Formation and Astrophysical Evidence10Direct Imaging and Future Horizons
Foundations of General Relativity

Gravitational Time Dilation

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Finally, let's look at time. Just as space stretches, time dilates. Clocks run slower in stronger gravitational fields. If you stood near a black hole, your watch would tick normally to you, but an observer far away would see your movements in slow motion. This effect is crucial for GPS satellites, which must correct for time differences between Earth's surface and orbit. Near a black hole, this effect becomes extreme.
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An interactive visualization comparing clock rates at different gravitational potentials. The learner adjusts the distance from a massive body to see how time slows down closer to the mass.

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