SilverSight/formal/CoreFormalism
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
..
Bind.lean refactor(core): typed Invariant/TensorType migration, CartanConnection cleanup 2026-06-28 00:11:28 -05:00
BraidBracket.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
BraidCross.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
BraidEigensolid.lean refactor(core): typed Invariant/TensorType migration, CartanConnection cleanup 2026-06-28 00:11:28 -05:00
BraidField.lean refactor(core): typed Invariant/TensorType migration, CartanConnection cleanup 2026-06-28 00:11:28 -05:00
BraidSpherionBridge.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
BraidStateN.lean fix(sorries): kill vacuous True theorems, tag remaining sorries 2026-07-03 10:58:17 +00:00
BraidStrand.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
ChentsovFinite.lean tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
DynamicCanal.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
E8Sidon.lean 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
FixedPoint.lean feat(lean): Add FisherRigidity bridge for parabola focal-chord to Fisher-Rao 2026-06-24 10:24:54 -05:00
GoormaghtighEnumeration.lean tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
HachimojiBase.lean chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
HachimojiBridging.lean chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
HachimojiCodec.lean chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
HachimojiLUT.lean chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
HachimojiManifoldAxiom.lean tag(axioms): justify all 18 custom axioms with HONESTY CLASS tags 2026-07-03 10:54:08 +00:00
HopfFibration.lean 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
InteractionGraphSidon.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
Q16_16Numerics.lean chore(quality): native_decide migration, docs, and phi pipeline cleanup 2026-06-27 01:56:54 -05:00
SidonSets.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
SieveLemmas.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00
StrandCapacityBound.lean fix(StrandCapacityBound): repair proofs + register in lakefile 2026-07-03 15:19:47 -05:00
Tactics.lean feat(rrc): bare-minimum RRC refactor into SilverSight 2026-06-21 09:08:48 -05:00