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.