The Universe as an Optimization Engine: Isomorphisms Between Topological Thermodynamics and Large Language Models

The current Paper 51 synthesis does not claim that physical spacetime and transformers have been proven literally identical. It does show that the verified QGEFT repository now contains concrete graph- and operator-level evidence that topological stress minimization and neural loss minimization belong to the same broad optimization family: both reduce global mismatch through local updates, both generate attraction-like organization through bridge formation, both resist destructive overlap, and both require regularization-like constraints to avoid collapse.