Encyclopedia Gravity Gravity Seven Gaps Campaign Ledger No Full Physical Closure Claimed

ARTICLE 3 claims 3 theorems

Gravity Seven Gaps Campaign Ledger No Full Physical Closure Claimed

A machine-checked theorem records exactly which parts of a quantum gravity campaign closed and which remain open, refusing to claim more than was proved.

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The campaign's honest ledger

The declaration no_full_physical_closure_claimed is a formal record, kept in the framework's machine-checked library of formal theorems, of what a 2026 campaign against seven open problems in quantum gravity actually achieved. The theorem is a conjunction of eight boolean flags, each one set by direct computation from the imported modules. It states, in effect, that four of the seven gaps have been closed, three remain open, and one additional certification was completed. The proof is by reflexivity: each flag's value is checked by reducing the definition, so the record cannot drift from the artifacts it summarizes.

The closed gaps are the hessian-symbol comparison (gap 1), the curved-background and quasinormal-mode spectrum (gap 4), the continuum Dirac algebra and HKT rigidity (gap 5), and the 4D action-level Wick continuation (gap 6). The theorem also certifies the kinematical Wick involution for gap 6. The open gaps are the continuum limit of the path-sum measure (gap 2), the full TT polarization decomposition on the torus (gap 3), and the true second-order mechanism for the discriminating prediction (gap 7). The declaration does not claim full physical closure: it explicitly records that these three components remain open targets, not achieved results.

The theorem's purpose is to keep the campaign's status honest. Each proved flag is anchored to a specific theorem in the imported modules, so the ledger cannot silently overstate what was done. The declaration does not claim that the closed gaps amount to a complete theory of quantum gravity, nor that the open gaps are impossible to close. It is a scoped status report, not a physical law. The framework treats conventional physics as itself derivable, so reproducing a known result is a derivation, not a defeat; the declaration is a statement about the campaign's progress, not about the validity of the framework.

THEOREM no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean:150 
/-- 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⟩
THEOREM no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean:150 
/-- 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⟩
THEOREM no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean
no_full_physical_closure_claimed · IndisputableMonolith/Gravity/SevenGaps/CampaignLedger.lean:150 
/-- 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 that the closed gaps constitute a complete theory of quantum gravity. The declaration does not claim that the open gaps are impossible to close. The declaration does not claim that the framework's derivation of conventional physics is complete.

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.

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