The Boundary of Emergent Operators: Complete Edition of the SMTDL EC Mathematical Experiment Archive (85 Rounds, Four-in-One)

Complete four-in-one edition (v1.0) of the SMTDL EC mathematical experiment archive: a five-day, 85-round dual-LLM-engine investigation of the Hilbert-Polya program. Theorem pool C10-C41 (32 entries incl. C37 unitary decoupling, C38 three-ring HP decomposition, C39 four-layer coupling with N-implies-F principal-part link, C40 fixed-point projection, C41 remainder-wall supply theorem); anchor system 11 entries with rank 9/8; nine inter-layer decoupling manifestations; conjecture family of 10 entries under falsification discipline (E-5 first family refutation); predicate library 17 atoms; full AI disclosure statement (four named models incl. free-tier GPT/Gemini, AGMAI five-element compliance table exceeding OpenAI's contemporaneous release). Structure: Prologue + Part I Mathematics / Part II Emergence & Bubbles (incl. E-7 slow-release band conjecture, P-eta two-round scans) / Part III Criteria Engineering + Final Chapter. Supersedes the four split papers (retained as chapter-frozen PDFs for journal submission).