{ "step": "C403", "completed_steps": [ "C394", "C395", "C396", "C397", "C398", "C399", "C400", "C401", "C402", "C403" ], "predecessor_summaries": [ { "step": "C394", "title": "Primitive E23-to25 edges: P/J and Mirror compatibility", "main_result": "Two sourced E23→25 reverse-Gear Noah edges have J return arrows at existing Flood pivots3083/3085. Only those two of eight required P/J pivot slots are sourced. P and same-orientation J fail membership; neither original17K reflection gives a complete cumulative diagram.", "checks": 19, "source_checks": 18 }, { "step": "C395", "title": "E/J endpoint loops, affine fixed points and biography limits", "main_result": "Two E/J endpoint loops have exact compositions centered at the two source Noah points with multiplier7500/6877. They do not commute or act as global inverses; order defect−1246/6877. Four matched-component loops pass, while whole950 biographies and one physical seasonal action fail.", "checks": 20, "source_checks": 14 }, { "step": "C396", "title": "Complete regular family census of E return loops", "main_result": "The4096-case unfiltered coherent-family census finds six coordinate E/J loops and12 labelled comparisons. Two MT loops also have sourced P returns at2893/2895 and coincide with the lower-full430 common P/J repairs. SP companion loops require existing Flood close; four SP/LXX coordinate loops remain J-only.", "checks": 94, "source_checks": 15 }, { "step": "C397", "title": "Commuting affine circuits in the sourced E/P/J loops", "main_result": "Two MT source graphs contain E return and common P/J forward edges. At each of four vertices, P–E and J–E circuits commute as same-center dilations with independent multipliers1750/(3K) and7500/(13K). Their counts classify positive circuit maps. Individual E/P/J operators remain noncommuting, and no nonempty positive circuit is an identity.", "checks": 99, "source_checks": 14 }, { "step": "C398", "title": "Plus215 transport of the E/P/J loop to the17K branch", "main_result": "The two lower-branch P/J repairs translate+215 to the original17K configurations, but the unique E return pivots3271/3273 are absent. Retaining the old pivot leaves430/23 error. The held E Noah already occupies full4301; no phase choice supplies its translated source.", "checks": 18, "source_checks": 15 }, { "step": "C399", "title": "Complete inverse-E closure test of common P/J source edges", "main_result": "Of ten common P/J coordinate edges, only the two lower-full430 regular edges admit the unique E return pivotV=u+25h/2. Six cumulative pivots−5913…−5908 and regular3271/3273 are absent. Signed pivot spans623h/2 and163h/2 unify the algebra while preserving the source boundary.", "checks": 44, "source_checks": 17 }, { "step": "C400", "title": "Three-vertex E/P/J source-path normal form", "main_result": "The two MT loops share the identical G2 Noah source and form a three-vertex/six-arrow graph. Every admitted path hasF(t)=v+E^eP^pJ^j(t−u), with net Gear displacementp+j−e. Endpoint/count equality classifies affine maps; prime7/13/5 proves count uniqueness.402 paths through six edges yield78 typed-endpoint affine classes; central circuits agree across both neighboring segments.", "checks": 732, "source_checks": 16 }, { "step": "C401", "title": "Circuit source domain and529-lattice obstruction", "main_result": "Across2238 generator/input trials, each of the six circuit maps retains only its fixed source basepoint. Reduced denominators prove the same for every nonempty positive circuit.2K/17K spans become fractional; the529 lattice is not preserved. The three-vertex path grammar remains a local source comparison, not a global chronology action.", "checks": 21, "source_checks": 14 }, { "step": "C402", "title": "Source reconstruction and warrant of the return-loop grammar", "main_result": "Direct source-table/variant reconstruction matches all52 labelled record slots in12 loop comparisons. LXX native/removal states and independent SP Flood-close handling are explicit. The scalar operators and endpoints are sourced; assembling the circuits and their normal form is derived affine research. No source prescription for the new circuit grammar is established in the reviewed passages.", "checks": 84, "source_checks": 19 } ], "predecessor_main_checks": 1131, "predecessor_authentication_checks": 142, "predecessor_sealed_audit_totals": { "packets": 9, "manifest_payloads": 226, "certificate_bindings": 111, "predecessor_links": 9, "frozen_source_payloads": 106, "main_output_comparisons": 18, "root_secondary_output_comparisons": 0, "successful_publications": 27 }, "root_second_method_checks": 266, "reading_index_summary": "C394–C403 complete. The two primitive source E23→25 Noah comparisons have exact J return arrows at existing Flood pivots, but not P returns. A4096-trial coherent-family census, without529 or prior-PJ preselection, finds12 labelled E/J loops at six coordinate configurations. Two MT configurations also admit P returns and coincide with the lower-full430 common P/J repairs. Their shared G2 Noah source joins the two graphs into three vertices3031,3033,3035 and six operator arrows. Every admitted path fromu tov has affine formF(t)=v+E^e P^p J^j(t−u), with(v−u)/2=p+j−e. The402 paths through six arrows yield78 classes with endpoints retained as part of the classification; an algebraic proof gives the normal form for every finite admitted path. At each source vertex, complete P–E and J–E circuits commute with independent multipliers1750/(3K) and7500/(13K), K529. Individual E/P/J operators do not commute. The original17K branch obtained by+215 translation lacks required E pivots3271/3273. All ten common P/J source edges were checked: exactly the two lower regular edges admit an E return; no cumulative edge does. Across2238 circuit-generator/input trials in373 regular coordinates, only the fixed source point survives each circuit. Reduced denominators prove this for every nonempty positive circuit, excluding a global529-preserving chronology action. Source-table and variant reconstruction confirms all52 labelled record slots across12 loops. Endpoints, variants and scalar ratios are sourced; the new affine path grammar is a derived comparison, not an established prescription in the reviewed source passages. Whole950 biographies and a single physical seasonal action are not preserved. No new source endpoint, pivot, Gear scope or canonical graph edit was introduced.", "restart_checkpoint": "Latest completed C403; C404 is unexecuted and outside this completed authorization. Use the C403 compact restart kit as the active packet; read synthesis/checkpoint then locator. C396 provides the unfiltered six-coordinate/twelve-label E/J loop census; C397 the two complete E/P/J loop graphs and same-center commuting circuits; C398 the absent3271/3273 E pivots on the original17K branch; C399 the complete ten-edge return-pivot closure; C400 the shared-source three-vertex path normal form; C401 the whole-source-domain and529-lattice obstruction; C402 the direct52-slot source reconstruction and warrant limits. The first complete graph has MT Noah3031 and3033, held E Noah3056, J Flood2433 and P Flood2893. The second adds2 to all these coordinates. E returns higher Noah to lower; P and J carry lower to higher. The central3033 is the identical MT G2 record, not a numerical alias. Closed-circuit multipliers are1750/1587 and7500/6877; only the fixed source basepoint remains in the373-coordinate regular menu under any nonempty positive circuit. No global2K/17K-preserving E/P/J action is established. Keep12 source labels distinct from six coordinate configurations, and preserve operator/pivot histories even when their affine maps coincide. LXX moving native CainanON and held theoreticalOFF must be stated per record; SP companion loops use the independent Flood-close boundary. Retain C393 source E/J Noah-to-Shem squares and finite strips, absent transported P pivots, and conditional500/600 to529 equivalence; C383 moving-P/J conditionD230h and17K+4 paired drift; C373 commonP/J source repair; C367 nativeNoah950 translation by19K; C343 Noah-held1058→1150→1250 and C363 source500/600 qualifications. K529,E25/23,P70/69; File02 J300/299 is gap conversion, not Residue Protocol or permission to transform dates globally. Global paired MirrorJanuaryAD1; local junctionJanuaryAD2; no civil yearzero. Regular Gears Noah/Shem/Flood only; no cumulative or upstream Gear. SP minus-one person companions remain local; Flood close is independent. SP primary Noah death retains inclusive/harmonic qualification;500/100 and502/98 remain valid. No added endpoint, phase, fitted anchor, global axis, primer reopening, canonical or graph edit. Corrected LXX8464 supplement is awareness only:1564→1700,2484→2700,920→1000; AD3746/2300 superseded. Original unprefixed reports, Engine reports and C-series are distinct. The earlier incompleteSeptember17 ZIP differs from the later verified intact original. Verification counts, labels, replays and coincident coordinates are not independent historical witnesses. Proposed C404 compares the new return-loop grammar with the already sourced C385–C388 Noah-to-Shem E/J strips, using only existing endpoints, pivots, contexts and phases; it has not been executed.", "source_access": { "File_18": "actual bytes match retained SHA256", "File_09": "actual bytes match retained SHA256", "File_02_File_46_C365": "actual bytes match C393 frozen manifest", "File_11": "actual bytes match C402 frozen manifest", "C265": "checkpoint readable; certificate matches retained hash" }, "new_independent_agent_review": false, "C404_executed": false, "canonical_or_graph_edits": false }