docs(research): update autonomous cycle report - NeurIPS paper draft added (#415)

- New total: 26 documents, 15,730 lines
- NeurIPS 2026 paper draft complete (7.5 pages)
- Updated publication preparation status

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

Author: Antigravity Agent

docs/research/AUTONOMOUS_CYCLE_SCIENCE_DOC_IMPROVEMENTS_20260326.md

@@ -15,7 +15,7 @@ Completed comprehensive scientific documentation improvements for Trinity S³AI
 - Code documentation patterns (VSA core, hybrid operations)
 - Publication requirements (reproducibility, statistical validation)
 
-**Total Deliverables:** 22 new documents (13,017 lines of scientific documentation)
+**Total Deliverables:** 26 new documents (15,730 lines of scientific documentation)
 
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@@ -538,27 +538,29 @@ c8a6785fdb8 docs(research): add Trinity Scientific Publication Roadmap V1 - DARP
 3. ⏳ FPGA performance validation
 
 ### Publication Preparation
-1. ⏳ NeurIPS 2026 submission (41 days to deadline)
-2. ⏳ ICLR 2027 pre-submission package
-3. ⏳ DARPA CLARA proposal (22 days to deadline)
+1. ✅ NeurIPS 2026 paper draft (7.5 pages, all sections complete)
+2. ⏳ NeurIPS 2026 final polish (41 days to deadline)
+3. ⏳ ICLR 2027 pre-submission package
+4. ⏳ DARPA CLARA proposal final review (22 days to deadline)
 
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 ## Statistics
 
 | Metric | Value |
 |--------|-------|
-| New Documents | 25 |
-| Total Lines | 15,158 |
-| Algorithm Boxes | 41 |
-| Theorems with Proofs | 68 |
-| Performance Tables | 23 |
+| New Documents | 26 |
+| Total Lines | 15,730 |
+| Algorithm Boxes | 42 |
+| Theorems with Proofs | 73 |
+| Performance Tables | 26 |
 | ASCII Diagrams | 24 |
 | LaTeX Templates | 6 |
 | Statistical Tables (95% CI) | 8 |
 | Complete Scientific Synthesis | 1 (1,750 lines) |
 | Publication Roadmap | 1 (581 lines) |
 | Mathematical Compendium | 1 (701 lines) |
+| NeurIPS 2026 Paper Draft | 1 (572 lines) |
 
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