Black Holes versus Big Bang

The Schwartzchild radius for a mass equal to the entire universe is, I estimate without calculation, larger than one metre.

If the Big Bang theory is true, then the entire universe was once inside its own Schwartzchild radius.

Inside the Schwartzchild radius, colliding with the singularity within finite proper time is inevitable.

The universe is not a singularity.

Conclusion:

Big Bang theory is false.

OR

Black holes do not exist.

QED.

Obviously, objects very similar to black holes exist, as attested by accretion rings and gravitational lenses. The Big Bang may be allowed to be singular because the first event is in many ways special - as long as after any finite time, it is no longer singular, everything is fine.

Ergo, most likely, black holes do not exist. When our physics tells us there is a singularity in nature, we're wrong.