“Black holes are mathematical solutions to the Einstein equation,” Giorgi says — the “master equation” that is the basis of the general theory of relativity. She and other mathematicians ...

The 81 squares in the grid correspond to vertices in a mathematical graph. A line connects vertices that appear in the same row, column, or subgrid. This translation allowed the mathematicians to ...

Holographic duality is a mathematical conjecture that connects ... So inside the shape of a black hole, for example, gravity exists in three dimensions while a particle theory exists in two ...