Schwarzschild radius
How small you would have to squeeze something to make it a black hole.
Every mass has a radius at which its escape velocity would reach light speed: about 3 km for the Sun, 9 mm for Earth, and 30 microns for an adult human. Karl Schwarzschild derived it in 1916, in the trenches, months after Einstein published the field equations. It scales linearly with mass, which has the counter-intuitive consequence that the largest black holes are the least dense — a supermassive one can have an average density lower than water.
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Questions
What is Schwarzschild radius?
How small you would have to squeeze something to make it a black hole.
Why does it matter?
Karl Schwarzschild derived it in 1916, in the trenches, months after Einstein published the field equations. It scales linearly with mass, which has the counter-intuitive consequence that the largest black holes are the least dense — a supermassive one can have an average density lower than water.