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Failed inference

FPRD-QA-COL-FAIL02

Vertical residue loss is not a time-cycle obstruction

Exact statement

Collapsing a fixed-slope fibre creates labelled comparison loops, but those loops record discarded vertical data rather than cycles of the Collatz dynamics.

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

Context

Parity words are exact affine charts. Their seams, response quotients, integral cokernels, and 2-adic inverse limits show precisely where finite compatibility differs from membership in the ordinary nonnegative integers.

Proof or evidence

On the fine rewrite graph the residue label is the exact coboundary drdr.

Collatz guard-chamber review and independent audit →

Verification notes

The affine word, residue-cylinder, seam, response, integral, positive, 2-adic, selector, rotation, and fixed-weight arguments were reconstructed. An independent implementation checked 131,070 parity words, 98,304 seams, 98,305 swaps, 8,800 primitive necklaces, and all selectors through depth four, including the 001 and all-ones hostile examples.

Limitations

  • No novelty or specialist-review claim is made; the statement is limited to the displayed presentation and hypotheses.

Open work

Name the comparison graph and its semantics before interpreting circulation.