The Typical-State Paradox: Diagnosing Horizons with Complexity

Understand

The concept of transparent and opaque horizons is defined.

• One example of opaqueness is the presence of a firewall.
• Two apparently contradictory statements are reconciled: The overwhelming number of black hole states have opaque horizons; and: All black holes formed by natural processes have transparent horizons.
• A diagnostic is proposed for transparency, namely that the computational complexity of the state be increasing with time.