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Limitations

  • The temporal loop is slow and does not scale like optimized Transformer attention kernels.
  • This is not a competitive language model.
  • The geodesic mechanism is emergent and diagnostic; it is not an exact geodesic boundary-value solver.
  • The tokenizer is a simple character-level fallback.
  • No large benchmark is included.
  • No external validation has been performed.
  • Toroidal topology is not guaranteed.
  • Risk, blindspot, and dubiety power laws are experimental scaffolds.
  • The learned metric can become poorly conditioned without tuning.
  • The current dynamics use a simple Euler integrator.
  • Metric naturalization is a first-order preconditioning mechanism, not a complete variational geodesic solver.
  • Over-strong naturalization can create an ill-conditioned metric field; v3 uses damping, warmup, and condition penalties, but this remains an active research risk.