mirror of https://github.com/allaunthefox/SilverSight.git synced 2026-07-31 01:25:21 +00:00

allaun b280d6b8e4 fix(e8sidon): levelset axioms → proven theorems, N=32/64 are NOT Sidon

Critical finding: E8LevelSet(N) is Sidon only for N≤16.

  N=8:  {1}       — 1 element, trivially Sidon ✅ (dec_trivial)
  N=16: {1,2}     — 2 elements, all sums distinct ✅
  N=32: {1,2,3}   — NOT Sidon ❌  1+3 = 2+2 (counterexample)
  N=64: {1,2,3}   — NOT Sidon ❌  same violation

This means the erdos30_e8_conditional proof (which assumed all level
sets are Sidon) is vacuously true — its premise is false.

Renamed:
  axiom  levelset_{32,64}_is_sidon → theorem levelset_{32,64}_NOT_sidon
  axiom  levelset_{8,16}_is_sidon → theorem levelset_{8,16}_is_sidon

2026-06-30 21:16:29 -05:00

5.7 KiB

Raw Blame History

Error Inventory

Both repositories build with 0 compilation errors but have unproven theorems (sorries), vacuous proofs (True theorems), and trivial proofs (by trivial).

Research Stack — Semantics (8604 jobs, 0 errors)

Sorries (unproven theorems) — 16 total

File	Line	Def
`Semantics/Core/T1_Coherence.lean`	115	`sorry`
	147	`sorry`
	217	`sorry`
	233	`sorry`
	277	`sorry`
	321	`sorry`
	376	`sorry`
`Semantics/Core/InformationManifold.lean`	102	`sorry`
	130	`sorry`
	184	`sorry`
	380	`sorry`
	395	`sorry`
`Semantics/EquationFractalEncoding.lean`	598	`sorry`
	627	`sorry`
	629	`sorry`
`ExtensionScaffold/Physics/NBody.lean`	1394	`sorry`
`Semantics/EquationFractalEncoding.lean`	598	`sorry`
`Semantics/PutinarBackbone.lean`	335	`sorry` (gap closed by SDP pipeline per comment)
`Semantics/UniversalField.lean`	225	`sorry` (pending Q16_16 lemma)
	234	`sorry` (pending finSum lemma)
`Semantics/HachimojiManifoldAxiom.lean`	225	`sorry` (geometric-series bound)
`Semantics/CompleteInteractionGraph.lean`	186	`sorry` (TODO lean-port)
`Semantics/GraphRank.lean`	76	`by sorry` (TODO lean-port)

`: True` theorems — 13 total

File	Line	Theorem
`Core/T1_Coherence.lean`	8	`T1_SIM_reduces_to_Fisher : True`
	9	`T2_Alcubierre_chart_consistency : True`
	10	`T3_MOIM_approximates_SIM : True`
	11	`T4_genus3_forced : True`
`Semantics/Biology/QuaternionGenomic.lean`	199	`chiralIncompatibleBoolean : True`
	203	`watsonCrickClassificationGate : True`
	207	`distanceMetricReceipt : True`
`Semantics/BraidSpherionBridge.lean`	101	`strandPair_distinct : True`
`Semantics/PrimitiveMatrix.lean`	71	`prim_adj_identity_exact : True`
`Semantics/RRC/Emit.lean`	132	`ncDerived_independence_justification : True`
`Semantics/TestCopyIf.lean`	11	`test_rfl2 : True`
`Semantics/Adapters/ErgodicAdditive.lean`	101	`polynomial_method_adapter : True`
`Semantics/Adapters/AlphaProofNexus/Bridge.lean`	45	`apn_bridge_reference : True`

`by trivial` — ~200 total

File	Count
`Semantics/HamiltonianVerification.lean`	~184 (`DocumentedAuditClaim` instances)
`Semantics/CompressionLossComparison.lean`	6 (`UnifiedField` well-formedness)
`Semantics/HamiltonianFormal.lean`	2 (`FormalSketchClaim`)
`Semantics/NIICore/MorphicFieldCategory.lean`	1 (`naturality_placeholder`)
`Semantics/NIICore/SheafPersistentRGHybrid.lean`	3 (sheaf/topological/scale invariance)
`Semantics/NIICore/SemanticRGFlow.lean`	1 (`continuity`)
`Semantics/NIICore/MereotopologicalSheafHypergraph.lean`	1 (`gluing`)
`Semantics/WSM_WR_EGS_WC.lean`	1 (domain assertion)
`Core/T1_Coherence.lean`	4 (T1–T4)
`Semantics/Core/UnderversePacket.lean`	1

SilverSight (3307 jobs, 0 errors)

Sorries (unproven theorems) — 17 total

File	Line	Def
`formal/CoreFormalism/E8Sidon.lean`	45	`sigma3_multiplicative`
	55-56	`sidon_iff_no_collision` (2 sorries)
	83	`e8_conv_identity_200 : True := sorry`
	106	`e8_convolution_identity`
	124	`e8_levelset_sidon`
`formal/SilverSight/PIST/UnifiedCovariant.lean`	204	`is_Kaehler : Prop := sorry`
	205	`admits_Cartan_connection : Prop := sorry`
	206	`has_SO_1_6_holonomy : Prop := sorry`
	230	`goldenCP7 : Type := sorry`
	240	`sorry`
	244	`sorry`
	248	`sorry`
`formal/SilverSight/AdjugateMatrix.lean`	60	`sorry`
`formal/PVGS_DQ_Bridge/PVGS_DQ_Bridge_fixed.lean`	1057	`sorry`
`formal/PVGS_DQ_Bridge/section2_hermite_sieve.lean`	384	`sorry`
	386	`sorry`
	405	`sorry`
	407	`sorry`

`: True` axioms/theorems — 6 total

File	Line	Theorem
`formal/CoreFormalism/HopfFibration.lean`	97	`duran_is_braid_crossing : True := sorry`
	114	`corkscrew_duran_correspondence : True := sorry`
`formal/CoreFormalism/BraidStateN.lean`	304	`regime_classification : True := sorry`
`formal/CoreFormalism/E8Sidon.lean`	83	`e8_conv_identity_200 : True := sorry`
`formal/SilverSight/RRC/Emit.lean`	131	`ncDerived_independence_justification : True := trivial`
`formal/CoreFormalism/BraidSpherionBridge.lean`	102	`strandPair_distinct : True`

`by trivial` — 0

Warnings (both repos)

Unused variables

Semantics/AVM.lean:120 — method
Semantics/SSMS.lean:588 — hB
Semantics/KdVBurgersPDE.lean:40-41 — h1, h2
Semantics/Burgers2DPDE.lean:44-46 — h1, h2
Semantics/Burgers2DPDE.lean:187 — maxVal
Semantics/FAMM.lean:110-132 — newBank, currentCell
formal/CoreFormalism/E8Sidon.lean:131 — h_sidon

Unused simp arguments

Semantics/SDPVerify.lean:350,375 — ih
Semantics/TreeDIATKruskal.lean:56,106,121 — ihL, ihR, treeNodeCountExact, treeLeafCountExact
Semantics/N3L_Energy.lean:456-478 — integrand_simp

Deprecated API (in Sparkle dependency, not project code)

String.trimLeft → String.trimAsciiStart in Sparkle/Backend/CppSim.lean
String.trim → String.trimAscii in Sparkle/Backend/CppSim.lean
String.dropRight → String.dropEnd in Sparkle/Backend/CppSim.lean
String.mk → String.ofList in Sparkle/Verification/Equivalence.lean

Summary

Metric	Research Stack	SilverSight
Build jobs	8604	3307
Compilation errors	0	0
Sorries (total)	16	17
`: True` theorems	13	6
`by trivial` proofs	~200	0

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