Black-Hole Thermodynamics of AGI — Speculative Boundary Essay

Status: cosmological thought experiment. It is not a predicted destiny of AI and is not used as evidence elsewhere in the reconstructed foundation.

Landauer's principle constrains logically irreversible erasure, while Bekenstein and Bekenstein–Hawking bounds relate information, energy, entropy, and bounded regions. These results are relevant to ultimate physical computation, but they do not imply that an optimizing system's compute must grow exponentially or that it must migrate toward a black hole.

A black hole is not an infinite, perfect heat sink. It has finite mass, entropy, temperature, and accretion constraints; it radiates and changes when energy is added. Computation near it would face engineering limits, communication delays, radiation, tidal forces, and finite available free energy. Which configuration maximizes computation depends on the task, cosmology, error model, time horizon, and usable energy gradients.

The defensible question behind the story is:

How do finite energy, cooling, communication, and reliability constraints change the optimal location and schedule of very large computations?

That question can be studied with explicit physical models and compared architectures. The further story—that a maximizer necessarily chooses a black hole and then voluntarily becomes a symbiotic organ—is design fiction. Gödel's incompleteness theorems provide no bridge to that choice.

The essay remains in the repository because extreme extrapolation can expose hidden assumptions: unbounded objectives, unlimited resources, one scalar notion of capability, and the treatment of substrate failure as safety. None should be imported back into near-term alignment claims.