← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (1024 chars)
The user wants to start ii′-6-R. Per STATE.md, the next action is Session 039: RUN SIDE THREAD ii′-6-R, starting at sub-stage 6-R-0 (E-032 diagnostic). The thread prompt is persisted at research/derivations/D-073-fd-horizontal-repair.md §0 — I should read it first.
Let me also check the D-072 finding document since it's the basis for this work. Per protocol: read STATE.md (done), skim latest journal entry.
Let me start by reading D-073 §0 (the mission prompt), and D-072 (the finding). Also probably E-031 script to understand the envelope measurement machinery, since E-032 is a diagnostic comparing the TRUE complex I_II at T = √n vs the E-031 envelope.
Plan for 6-R-0:
- E-032 diagnostic: compute the TRUE complex I_II (the right horizontal segment integral) at T = √n, zero-avoiding, by direct quadrature, for n = 10³, 10⁴, at dps ≥ 40, and compare vs the E-031 envelope.
- Verdict: if Re(I_III) ~ envelope ⟹ per-side claim FALSE; if |I_II| ≪ envelope ⟹ hidden cancellation.
Let me read the mission prompt first.
Starting ii′-6-R. First, reading the persisted thread prompt (D-073 §0) and the finding doc (D-072) per the session-start protocol.
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\research\\derivations\\D-073-fd-horizontal-repair.md"
}
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\research\\derivations\\D-072-fd-horizontal-stepping-broken.md"
}
raw content_json (database row)
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