Encyclopedia Gravity Gravity Seven Gaps Campaign Ledger Campaign Flags Anchored
ARTICLE 4 claims 4 theorems
Gravity Seven Gaps Campaign Ledger Campaign Flags Anchored
A machine-checked record of what a seven-part research campaign proved about quantum gravity, and what it left open.
The campaign ledger
The declaration campaign_flags_anchored is a machine-checked record of a seven-part research campaign on quantum gravity, dated 2026-07-14/15. The framework's library, a machine-checked collection of formal theorems, stores it as a single theorem that re-derives one load-bearing result from each of the seven gaps. The point is to keep the campaign's status flags honest: each flag that says a result is proved is tied directly to the formal artifact that proves it, so the record cannot drift from the actual mathematics.
The seven gaps cover a range of technical problems. The first concerns a map between two kinds of structures, where the campaign proved that every such map forces nonnegative geometric deficits, a sign no-go result. The second proved that a certain bounded class of path-sum configurations is finite. The fourth proved that a discrete Laplacian eigenvalue converges to its continuum limit for every fixed axis mode. The fifth proved that two symmetry generators commute exactly on a finite lattice phase space. The sixth proved an exact non-degeneracy condition for causal simplex classes, with thresholds at alpha > 1/3 for one type and alpha > 1/2 for another.
The declaration also records what the campaign did not achieve. A companion theorem, no_full_physical_closure_claimed, states explicitly that full physical closure is not claimed. Gaps 2, 3, and 7 retain an explicit OPEN component: the continuum limit, the full tensor polarization decomposition, and the true second-order mechanism respectively remain targets. The other gaps have closed components, but each closure is scoped. The gap-4 result, for instance, is axis-sector only, not isotropic flat-space recovery; the gap-5 anchor is the abelian momentum-sector instance from the campaign, not the later 2026-07-23 close.
What a reader can take from this page: the campaign's claims are scoped increments, never full physical closure. Each proved flag is kernel-checked, with no sorry and no new axioms in the module. The open items are named and tracked, not hidden. This is a record of partial progress toward a large goal, and it is honest about the distance remaining.
THEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not
free-floating booleans: this theorem re-derives one load-bearing
campaign-era result per gap directly from the imported modules, so the
ledger cannot silently drift from the artifacts. These anchors date from
the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the
abelian momentum-sector instance from that campaign, NOT the 2026-07-23
close. The closed gap-5 terminal binding lives in
`Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals`
(kept out of this module to avoid an import cycle).
(Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/
theorem campaign_flags_anchored :
-- gap 1 (sign no-go: every bridge forces nonnegative deficits)
(∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ]
(L : RecognitionLedger.RecognitionLedger Λ) (H : Type)
(b : LedgerToHingeBridge H L) (i : Λ),
0 ≤ b.geometricDeficit (b.x_sigma i))
-- gap 2 (count-finiteness of the scoped class)
∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B))
-- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode;
-- axis sector only, see the gap-4 scope note in the module header)
∧ (∀ k : ℕ, Filter.Tendsto
(fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2)
Filter.atTop (nhds ((2 * Real.pi * k) ^ 2)))
-- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor,
-- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus)
∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8),
HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a)
(HypersurfaceDeformation.Dgen b) x = 0)
-- gap 6 (exact non-degeneracy iff on the causal class)
∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a →
(0 < Geometry.CayleyMengerPolynomial.cm3
(CausalSimplexWick.euclideanSqEdges ty a alpha)
↔ CausalSimplexWick.alphaMin ty < alpha)) := by
refine ⟨?_, ?_, ?_, ?_, ?_⟩
· intro Λ _ _ L H b i
exact bridge_forces_nonneg_geometricDeficit L b i
· exact PathSumMeasure.boundedComplex_card_pos
· intro k
simpa [DiscreteLichnerowicz.discreteEigenvalue] using
DiscreteLichnerowicz.discreteEigenvalue_tendsto k
· intro a b x
exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x
· intro ty a alpha ha
exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha ha
THEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not
free-floating booleans: this theorem re-derives one load-bearing
campaign-era result per gap directly from the imported modules, so the
ledger cannot silently drift from the artifacts. These anchors date from
the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the
abelian momentum-sector instance from that campaign, NOT the 2026-07-23
close. The closed gap-5 terminal binding lives in
`Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals`
(kept out of this module to avoid an import cycle).
(Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/
theorem campaign_flags_anchored :
-- gap 1 (sign no-go: every bridge forces nonnegative deficits)
(∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ]
(L : RecognitionLedger.RecognitionLedger Λ) (H : Type)
(b : LedgerToHingeBridge H L) (i : Λ),
0 ≤ b.geometricDeficit (b.x_sigma i))
-- gap 2 (count-finiteness of the scoped class)
∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B))
-- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode;
-- axis sector only, see the gap-4 scope note in the module header)
∧ (∀ k : ℕ, Filter.Tendsto
(fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2)
Filter.atTop (nhds ((2 * Real.pi * k) ^ 2)))
-- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor,
-- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus)
∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8),
HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a)
(HypersurfaceDeformation.Dgen b) x = 0)
-- gap 6 (exact non-degeneracy iff on the causal class)
∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a →
(0 < Geometry.CayleyMengerPolynomial.cm3
(CausalSimplexWick.euclideanSqEdges ty a alpha)
↔ CausalSimplexWick.alphaMin ty < alpha)) := by
refine ⟨?_, ?_, ?_, ?_, ?_⟩
· intro Λ _ _ L H b i
exact bridge_forces_nonneg_geometricDeficit L b i
· exact PathSumMeasure.boundedComplex_card_pos
· intro k
simpa [DiscreteLichnerowicz.discreteEigenvalue] using
DiscreteLichnerowicz.discreteEigenvalue_tendsto k
· intro a b x
exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x
· intro ty a alpha ha
exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha ha
THEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not
free-floating booleans: this theorem re-derives one load-bearing
campaign-era result per gap directly from the imported modules, so the
ledger cannot silently drift from the artifacts. These anchors date from
the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the
abelian momentum-sector instance from that campaign, NOT the 2026-07-23
close. The closed gap-5 terminal binding lives in
`Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals`
(kept out of this module to avoid an import cycle).
(Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/
theorem campaign_flags_anchored :
-- gap 1 (sign no-go: every bridge forces nonnegative deficits)
(∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ]
(L : RecognitionLedger.RecognitionLedger Λ) (H : Type)
(b : LedgerToHingeBridge H L) (i : Λ),
0 ≤ b.geometricDeficit (b.x_sigma i))
-- gap 2 (count-finiteness of the scoped class)
∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B))
-- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode;
-- axis sector only, see the gap-4 scope note in the module header)
∧ (∀ k : ℕ, Filter.Tendsto
(fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2)
Filter.atTop (nhds ((2 * Real.pi * k) ^ 2)))
-- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor,
-- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus)
∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8),
HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a)
(HypersurfaceDeformation.Dgen b) x = 0)
-- gap 6 (exact non-degeneracy iff on the causal class)
∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a →
(0 < Geometry.CayleyMengerPolynomial.cm3
(CausalSimplexWick.euclideanSqEdges ty a alpha)
↔ CausalSimplexWick.alphaMin ty < alpha)) := by
refine ⟨?_, ?_, ?_, ?_, ?_⟩
· intro Λ _ _ L H b i
exact bridge_forces_nonneg_geometricDeficit L b i
· exact PathSumMeasure.boundedComplex_card_pos
· intro k
simpa [DiscreteLichnerowicz.discreteEigenvalue] using
DiscreteLichnerowicz.discreteEigenvalue_tendsto k
· intro a b x
exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x
· intro ty a alpha ha
exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha ha
THEOREM no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- The campaign did not achieve (and does not claim) full physical closure:
gaps 2/3/7 retain an explicit OPEN component. Gap 1's hessian-symbol
comparison closed 2026-07-22 under amended intent
(`gap1_hessian_join_closing_package`); gap6 action continuation closed
2026-07-23 via `wick_action_continuation_4d_v2`; gap4 curved/QNM closed
2026-07-23 via `discrete_tt_spectrum_converges_curved` ∧
`quasinormal_mode_spectrum`; gap5 continuum algebra + HKT closed 2026-07-23
via `dirac_algebra_continuum_limit` ∧ `hojman_pins_general_relativity`.
This theorem tracks the remaining opens plus the closed bits. -/
theorem no_full_physical_closure_claimed :
sevenGapsCampaignStatus.gap1_hessian_symbol_comparison_open = false
∧ sevenGapsCampaignStatus.gap2_continuum_limit_open = true
∧ sevenGapsCampaignStatus.gap3_full_tt_decomposition_open = true
∧ sevenGapsCampaignStatus.gap4_curved_qnm_open = false
∧ sevenGapsCampaignStatus.gap5_continuum_algebra_hkt_open = false
∧ sevenGapsCampaignStatus.gap6_action_continuation_open = false
∧ sevenGapsCampaignStatus.gap6_kinematical_wick_certified = true
∧ sevenGapsCampaignStatus.gap7_true_mechanism_open = true :=
⟨rfl, rfl, rfl, rfl, rfl, rfl, rfl, rfl⟩
What this page does not claim
The declaration does not claim full physical closure for any of the seven gaps. The gap-4 result is not isotropic flat-space recovery. The gap-5 anchor is not the later 2026-07-23 terminal close.
Verify this page
Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:
$ lake env lean IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)
A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.
Derived articles
This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red:
- What is the geometric premise that would turn the sign no-go into a full exclusion?
- How does the axis-sector convergence result extend to non-axis modes?
- What is the effective non-integer seam weight that would close gap 7?
MACHINE LAYER · GROUNDED CLAIM TABLE · CLICK TO EXPAND
THEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not free-floating booleans: this theorem re-derives one load-bearing campaign-era result per gap directly from the imported modules, so the ledger cannot silently drift from the artifacts. These anchors date from the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the abelian momentum-sector instance from that campaign, NOT the 2026-07-23 close. The closed gap-5 terminal binding lives in `Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals` (kept out of this module to avoid an import cycle). (Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/ theorem campaign_flags_anchored : -- gap 1 (sign no-go: every bridge forces nonnegative deficits) (∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ] (L : RecognitionLedger.RecognitionLedger Λ) (H : Type) (b : LedgerToHingeBridge H L) (i : Λ), 0 ≤ b.geometricDeficit (b.x_sigma i)) -- gap 2 (count-finiteness of the scoped class) ∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B)) -- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode; -- axis sector only, see the gap-4 scope note in the module header) ∧ (∀ k : ℕ, Filter.Tendsto (fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2) Filter.atTop (nhds ((2 * Real.pi * k) ^ 2))) -- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor, -- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus) ∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8), HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a) (HypersurfaceDeformation.Dgen b) x = 0) -- gap 6 (exact non-degeneracy iff on the causal class) ∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a → (0 < Geometry.CayleyMengerPolynomial.cm3 (CausalSimplexWick.euclideanSqEdges ty a alpha) ↔ CausalSimplexWick.alphaMin ty < alpha)) := by refine ⟨?_, ?_, ?_, ?_, ?_⟩ · intro Λ _ _ L H b i exact bridge_forces_nonneg_geometricDeficit L b i · exact PathSumMeasure.boundedComplex_card_pos · intro k simpa [DiscreteLichnerowicz.discreteEigenvalue] using DiscreteLichnerowicz.discreteEigenvalue_tendsto k · intro a b x exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x · intro ty a alpha ha exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha haThe declaration campaign_flags_anchored is a machine-checked record of a seven-part research campaign on quantum gravity, dated 2026-07-14/15. campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.leanTHEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not free-floating booleans: this theorem re-derives one load-bearing campaign-era result per gap directly from the imported modules, so the ledger cannot silently drift from the artifacts. These anchors date from the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the abelian momentum-sector instance from that campaign, NOT the 2026-07-23 close. The closed gap-5 terminal binding lives in `Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals` (kept out of this module to avoid an import cycle). (Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/ theorem campaign_flags_anchored : -- gap 1 (sign no-go: every bridge forces nonnegative deficits) (∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ] (L : RecognitionLedger.RecognitionLedger Λ) (H : Type) (b : LedgerToHingeBridge H L) (i : Λ), 0 ≤ b.geometricDeficit (b.x_sigma i)) -- gap 2 (count-finiteness of the scoped class) ∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B)) -- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode; -- axis sector only, see the gap-4 scope note in the module header) ∧ (∀ k : ℕ, Filter.Tendsto (fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2) Filter.atTop (nhds ((2 * Real.pi * k) ^ 2))) -- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor, -- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus) ∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8), HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a) (HypersurfaceDeformation.Dgen b) x = 0) -- gap 6 (exact non-degeneracy iff on the causal class) ∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a → (0 < Geometry.CayleyMengerPolynomial.cm3 (CausalSimplexWick.euclideanSqEdges ty a alpha) ↔ CausalSimplexWick.alphaMin ty < alpha)) := by refine ⟨?_, ?_, ?_, ?_, ?_⟩ · intro Λ _ _ L H b i exact bridge_forces_nonneg_geometricDeficit L b i · exact PathSumMeasure.boundedComplex_card_pos · intro k simpa [DiscreteLichnerowicz.discreteEigenvalue] using DiscreteLichnerowicz.discreteEigenvalue_tendsto k · intro a b x exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x · intro ty a alpha ha exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha haThe first gap proved that every such map forces nonnegative geometric deficits, a sign no-go result. campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.leanTHEOREM campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- **Anchor theorem (campaign-era).** The proved flags are not free-floating booleans: this theorem re-derives one load-bearing campaign-era result per gap directly from the imported modules, so the ledger cannot silently drift from the artifacts. These anchors date from the 2026-07-14/15 lattice campaign; in particular the gap-5 conjunct is the abelian momentum-sector instance from that campaign, NOT the 2026-07-23 close. The closed gap-5 terminal binding lives in `Gap5ConstraintCloseStatus.gap5_constraint_recovery_bound_to_terminals` (kept out of this module to avoid an import cycle). (Gap 7 is quarantined and anchored in `SeamGrammarVerdict` itself.) -/ theorem campaign_flags_anchored : -- gap 1 (sign no-go: every bridge forces nonnegative deficits) (∀ {Λ : Type} [inst : Fintype Λ] [inst2 : DecidableEq Λ] (L : RecognitionLedger.RecognitionLedger Λ) (H : Type) (b : LedgerToHingeBridge H L) (i : Λ), 0 ≤ b.geometricDeficit (b.x_sigma i)) -- gap 2 (count-finiteness of the scoped class) ∧ (∀ B : ℕ, 0 < Fintype.card (PathSumMeasure.BoundedComplex B)) -- gap 4 (flat TT eigenvalue convergence for every fixed AXIS mode; -- axis sector only, see the gap-4 scope note in the module header) ∧ (∀ k : ℕ, Filter.Tendsto (fun N : ℕ => 4 * (N : ℝ) ^ 2 * Real.sin (Real.pi * k / N) ^ 2) Filter.atTop (nhds ((2 * Real.pi * k) ^ 2))) -- gap 5 (abelian momentum sector, n = 8 instance; campaign-era anchor, -- the 2026-07-23 terminal close is bound in Gap5ConstraintCloseStatus) ∧ (∀ (a b : ZMod 8) (x : HypersurfaceDeformation.PhaseSpace 8), HypersurfaceDeformation.bracket (HypersurfaceDeformation.Dgen a) (HypersurfaceDeformation.Dgen b) x = 0) -- gap 6 (exact non-degeneracy iff on the causal class) ∧ (∀ (ty : CausalSimplexWick.CausalTetType) (a alpha : ℝ), 0 < a → (0 < Geometry.CayleyMengerPolynomial.cm3 (CausalSimplexWick.euclideanSqEdges ty a alpha) ↔ CausalSimplexWick.alphaMin ty < alpha)) := by refine ⟨?_, ?_, ?_, ?_, ?_⟩ · intro Λ _ _ L H b i exact bridge_forces_nonneg_geometricDeficit L b i · exact PathSumMeasure.boundedComplex_card_pos · intro k simpa [DiscreteLichnerowicz.discreteEigenvalue] using DiscreteLichnerowicz.discreteEigenvalue_tendsto k · intro a b x exact HypersurfaceDeformation.bracket_Dgen_Dgen a b x · intro ty a alpha ha exact CausalSimplexWick.cm3_euclidean_pos_iff ty a alpha haThe fourth proved that a discrete Laplacian eigenvalue converges to its continuum limit for every fixed axis mode. campaign_flags_anchored · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.leanTHEOREM no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
/-- The campaign did not achieve (and does not claim) full physical closure: gaps 2/3/7 retain an explicit OPEN component. Gap 1's hessian-symbol comparison closed 2026-07-22 under amended intent (`gap1_hessian_join_closing_package`); gap6 action continuation closed 2026-07-23 via `wick_action_continuation_4d_v2`; gap4 curved/QNM closed 2026-07-23 via `discrete_tt_spectrum_converges_curved` ∧ `quasinormal_mode_spectrum`; gap5 continuum algebra + HKT closed 2026-07-23 via `dirac_algebra_continuum_limit` ∧ `hojman_pins_general_relativity`. This theorem tracks the remaining opens plus the closed bits. -/ theorem no_full_physical_closure_claimed : sevenGapsCampaignStatus.gap1_hessian_symbol_comparison_open = false ∧ sevenGapsCampaignStatus.gap2_continuum_limit_open = true ∧ sevenGapsCampaignStatus.gap3_full_tt_decomposition_open = true ∧ sevenGapsCampaignStatus.gap4_curved_qnm_open = false ∧ sevenGapsCampaignStatus.gap5_continuum_algebra_hkt_open = false ∧ sevenGapsCampaignStatus.gap6_action_continuation_open = false ∧ sevenGapsCampaignStatus.gap6_kinematical_wick_certified = true ∧ sevenGapsCampaignStatus.gap7_true_mechanism_open = true := ⟨rfl, rfl, rfl, rfl, rfl, rfl, rfl, rfl⟩A companion theorem, no_full_physical_closure_claimed, states explicitly that full physical closure is not claimed. no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean