Why 28 + 47 = 72, Not 75, For Black Holes
Even addition has to play by different rules for black holes.
How do you add 28 and 47 together? This simple math question helps us highlight the many different ways that people conceptualize numbers in their heads. Some of us break down 28 and 47 into 20 + 8 and 40 + 7, and then go from there. Equivalently, you can view them as 30–2 and 50–3, and then combine those results. Another approach is to split them into 25 + 3 and 50–3, with many other possible, and equivalent, approaches. As long as your methods are sound and you get the right answer, that 28 + 47 = 75, there isn’t really a wrong way to do it.
But for certain physical objects obeying the law of gravity, addition isn’t always so simple. If you merged a 28 solar mass black hole with a 47 solar mass black hole, the black hole you wind up with, at the end, would be 72 solar masses, not 75. In fact, for any two black holes that you merge together, you wind up with less mass than you started with. This isn’t due to a flaw in our math, but rather something very special about how gravity works. Here’s why merging black holes always lose mass.