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allaun a0d95049c6 chore(prime-sidon): documented negative result — primes indistinguishable from random in Sidon sum-degeneracy 
35 test cases across 7 scales (small through quintillion) and 5 sizes.
Result: 1/35 significant at p<0.05 (0/35 after Bonferroni).
Null hypothesis not rejected.

Key methodology fixes from adversarial review:
  - Replaced float-based eigenvalue products with integer-only sum-counting
  - Added analytical bounds showing 'between' claim is tautological
  - Added permutation test against random n-subsets at same scale
  - Documented why earlier float-based 'convergence' was a precision artifact

Receipt: docs/research/PRIME_SIDON_NEGATIVE_RESULT.md
DAG: .openresearch/artifacts/prime_sidon_dag.json (51 nodes, 35 edges)
Script: scripts/prime_sidon_explore.py

Build: N/A (Python script, no Lean build)
2026-07-03 18:16:42 -05:00
..
braid_group_action.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
CAPABILITY_GRID_MAPPING.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
COLLECTIVE_INTELLIGENCE_OPTIMIZATION.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
COMPRESSION_HONEST_FINDINGS.md docs(compression): add pi-as-tape-LUT coda (offset = data size, base conversion) 2026-07-03 15:56:01 -05:00
FIXEDPOINT_BRIDGE_DESIGN.md chore: commit all pending work from prior sessions 2026-06-30 04:54:40 -05:00
INVARIANT_COMPUTATION_GEOMETRY.md docs: invariant computation geometry — the unifying vision 2026-07-03 22:08:56 +00:00
iteration_dag.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
iteration_regime.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
MERGED_O1_TRANSFORM.md docs: explore merged O(1) transform — DNA as unified search-reconstruct-verify 2026-07-03 21:58:32 +00:00
O1_TRANSFORMS.md docs: document three O(n)→O(1) transforms + unification analysis 2026-07-03 21:54:46 +00:00
OCTAGON_PRINCIPLE.md docs: formal literature — octagon question answered at O(n^2) 2026-07-03 21:49:45 +00:00
PRIME_SIDON_NEGATIVE_RESULT.md chore(prime-sidon): documented negative result — primes indistinguishable from random in Sidon sum-degeneracy 2026-07-03 18:16:42 -05:00
REACTION_PRIMES.md docs: reaction primes — algebraic irreducibility for DNA computation 2026-07-03 22:00:21 +00:00
sidon_preservation_creation.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00
SLOS_SIDON_VERIFICATION_RECEIPT.md feat(slos): eigenvalue products predict SLOS concentration ordering - verified with Spearman correlation, cross-validated with exact tensor network 2026-07-03 17:55:26 -05:00
unified_crt_torus_dag.md feat(braid/dag): land untracked research WIP + register 4 formal libs; ignore build artifacts 2026-07-03 15:11:37 -05:00