SilverSight

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Author	SHA1	Message	Date
allaun	6507f1187b	feat(crt): capacity envelope — Sidon invariance confirmed under CRT Torus DAG True Sidon sets stay Sidon across all 50 modulus configs. Non-Sidon never become Sidon. Capacity: 8→43.7b, 12→74.3b, 16→106.2b headroom. Integer-only, no float, correct CRT reconstruction.	2026-07-03 18:35:46 -05:00
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
allaun	f1a050277b	feat(slos): eigenvalue products predict SLOS concentration ordering - verified with Spearman correlation, cross-validated with exact tensor network 48 test points across K=1..4 and 12 label sets (Sidon power sets, Sidon constructions, dense non-Sidon, prime-based). Results: K=1: ρ=-0.85 (products→SLOS), ρ=-0.94 (SLOS↔tensor) K=2: ρ=-0.88 (products→SLOS), ρ=-0.94 (SLOS↔tensor) K=3: ρ=-0.93 (products→SLOS), ρ=-0.98 (SLOS↔tensor) K=4: ρ=-0.93 (products→SLOS), tensor N/A (K>3) Key: all Spearman correlations are negative and strengthen with K. Sidon sets produce 1.5-2.3× higher KL divergence than same-size non-Sidon. Primes are intermediate: partially Sidon-like but weaker. DAG: 192 nodes, 96 edges, all individually checkpointed for resume. Resume with: python3 scripts/perceval_slos_verify.py --resume Receipt: docs/research/SLOS_SIDON_VERIFICATION_RECEIPT.md Build: N/A (Python/perceval verification, no Lean build)	2026-07-03 17:55:26 -05:00

Author

SHA1

Message

Date

allaun

6507f1187b

feat(crt): capacity envelope — Sidon invariance confirmed under CRT Torus DAG

True Sidon sets stay Sidon across all 50 modulus configs. Non-Sidon never become Sidon.

Capacity: 8→43.7b, 12→74.3b, 16→106.2b headroom.
Integer-only, no float, correct CRT reconstruction.

2026-07-03 18:35:46 -05:00

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

allaun

f1a050277b

feat(slos): eigenvalue products predict SLOS concentration ordering - verified with Spearman correlation, cross-validated with exact tensor network

48 test points across K=1..4 and 12 label sets (Sidon power sets,
Sidon constructions, dense non-Sidon, prime-based).

Results:
  K=1: ρ=-0.85 (products→SLOS), ρ=-0.94 (SLOS↔tensor)
  K=2: ρ=-0.88 (products→SLOS), ρ=-0.94 (SLOS↔tensor)
  K=3: ρ=-0.93 (products→SLOS), ρ=-0.98 (SLOS↔tensor)
  K=4: ρ=-0.93 (products→SLOS), tensor N/A (K>3)

Key: all Spearman correlations are negative and strengthen with K.
Sidon sets produce 1.5-2.3× higher KL divergence than same-size non-Sidon.
Primes are intermediate: partially Sidon-like but weaker.

DAG: 192 nodes, 96 edges, all individually checkpointed for resume.
Resume with: python3 scripts/perceval_slos_verify.py --resume

Receipt: docs/research/SLOS_SIDON_VERIFICATION_RECEIPT.md

Build: N/A (Python/perceval verification, no Lean build)

2026-07-03 17:55:26 -05:00

3 commits