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Three deliverables: 1. scripts/crt_qprofile_sweep.py Safety factor optimization (R1 from toroidal refinement). Replaces brute-force modulus selection with systematic q-profile sweep. Tests: q < 1 (poloidal) vs q > 1 (toroidal) Sidon rate, simple rational q vs non-simple (R2 cross-pair coprimality). All integer arithmetic (Fraction for q). 2. docs/research/GERVER_SIDON_DESIGN.md Direction B design: actual Gerver sofa (18 arcs) with CRT Sidon boundary in ℤ², high-resolution motion (T=100), justified tolerance. Explains why Direction A failed and what Direction B fixes. Honest assessment: long shot, but more promising than v2/v3. 3. (Report in /tmp — uploaded separately) Negative result write-up: sofa coloring doesn't detect q=1 at justified tolerance. HN spectral database: Hoffman tight for regular graphs, gap=1 for unit-distance. CRT n-moduli generalization. |
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| .. | ||
| AUTOPROOF_INFRASTRUCTURE.md | ||
| braid_group_action.md | ||
| CAPABILITY_GRID_MAPPING.md | ||
| COLLECTIVE_INTELLIGENCE_OPTIMIZATION.md | ||
| COMPRESSION_HONEST_FINDINGS.md | ||
| CONSERVATION_LAW_CORRECTION.md | ||
| FIXEDPOINT_BRIDGE_DESIGN.md | ||
| GERVER_SIDON_DESIGN.md | ||
| INVARIANT_COMPUTATION_GEOMETRY.md | ||
| iteration_dag.md | ||
| iteration_regime.md | ||
| MERGED_O1_TRANSFORM.md | ||
| NEXT_STEPS_PLAN.md | ||
| O1_TRANSFORMS.md | ||
| OCTAGON_PRINCIPLE.md | ||
| PRIME_SIDON_NEGATIVE_RESULT.md | ||
| REACTION_PRIMES.md | ||
| sidon_preservation_creation.md | ||
| SIDON_SOFA_COLORING.md | ||
| SIDON_SOFA_COLORING_REVIEW.md | ||
| SLOS_SIDON_VERIFICATION_RECEIPT.md | ||
| TOROIDAL_POLOIDAL_REFINEMENT.md | ||
| unified_crt_torus_dag.md | ||