Comment by jiggawatts

Take a closer look at a picture of Kruskal coordinates, e.g.: https://upload.wikimedia.org/wikipedia/commons/1/1c/Kruskal_...

Those closer-and-closer line spacings are hiding a mathematical infinity, which isn't physical for finite-lifetime black holes.

Conversely, look at: https://en.wikipedia.org/wiki/Eddington%E2%80%93Finkelstein_...

The ordinary Schwarzschild metric diagram in that article makes it crystal clear that in-falling observers asymptotically approach the horizon, but never cross it.

Read the next section as well, which uses the "Tortoise coordinate"... which again uses the mathematical infinity to allow the horizon to be crossed.

I really don't understand why people keep arguing about this!

If you find yourself writing an infinity symbol, you've failed at physics. Stop, go back, rethink your mathematics.