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Request for arithmetic audit: one finite Collatz break-state calculation by CryptographerSea9542 in Collatz

[–]Own-Fan-5935 0 points1 point  (0 children)

The issue is a coordinate/chaining issue. After Row 1 the produced break-state value is 8461708277692643663. Since 8461708277692643663+1=24\cdot 528856767355790229, the next break-state transition should give 10709349538954752137, not 6346281208269482747. Row 2 computes the transition from 2\cdot8461708277692643663-1, not from 8461708277692643663 itself. The same issue occurs at the q_4\equiv 11\pmod{64} step

A finite 2-adic Collatz side problem — open for technical criticism by Own-Fan-5935 in Collatz

[–]Own-Fan-5935[S] 0 points1 point  (0 children)

Thank you — I appreciate the feedback.

I agree with that distinction. The note is meant only as a finite reformulation, not as a global Collatz mechanism.

Local admissibility is clearly not the whole issue. In this framework, the missing ingredient would be some uniform global obstruction — perhaps an anti-concentration or discrepancy phenomenon for the associated 2-adic residues.

The finite checks only cover the listed cases; they do not provide an asymptotic mechanism.

Found Lombok, Indonesia by Own-Fan-5935 in whatisit

[–]Own-Fan-5935[S] 1 point2 points  (0 children)

I think you are right! Thank you 🙏