All-horizon delayed growth divergence

Exact statement

For $n_q=2^{9q-1}+3$ , the binary growth trace begins $(101010)^q1011$ ; $n_q$ and $n_{q+r}$ agree for $6q+3$ bits and then differ.

StatusProved and independently checked

External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

The fixed-length mirror quotient extends across adjacent length charts with one seam bit, but complete growth responses require infinitely many states and separated-flank inverse limits contain non-realizable ghosts.

Proof or evidence

The symbolic proof is corroborated for $2\le q\le80$ , with sanity horizon 483.

Quotient Arsenal synthesis →

Verification notes

The exact written argument and available certificate were inspected; the public maturity level reflects whether import-time replay was complete.

Limitations

The theorem is base two and does not classify the whole response language.

Open work

Seek upper bounds or structural descriptions for the infinite response quotient.