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Counterexample · insufficient receipt

QA-RA-S6-T05

Outward aggregate loses the next growth bit

Exact statement

The outward aggregate together with current growth does not determine next growth; binary states 129 and 194 are an exact collision.

StatusProved
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

Direct digit addition verifies equal proposed state and different next growth.

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 witness does not prove both complete flanks are information-theoretically minimal.

Open work

Search for the smallest sufficient quotient between the aggregate and full flanks.