Gravity Analysis Regge Exact Flat Hessian Bloch Symbol4 Daudit

The audit module

In Recognition Science, gravity is not introduced as a force but derived from a discrete ledger of recognition events. The module named ReggeExactFlatHessianBlochSymbol4DAudit is a machine-checked audit of one piece of that derivation: the table of coupling constants that links recognition events across the framework's four-dimensional structure. The audit's plain-language result is that this coupling table has exactly 1208 entries, and that a normalization gate, a consistency check on the table's values, passes.

The theorem bloch_symbol_audit_package bundles four separate checks into one machine-checked statement. The first is the size check: the coupling table contains exactly 1208 entries. The second confirms that a specialized limit statement, the precise way the framework's symbols behave as they scale, has been proved. The third and fourth checks report that two recovery mechanisms, one for an inhabited state space and one for a gap action, are not needed in this context. The final check confirms the normalization gate passes.

In Recognition Science, the framework models gravity through a forcing chain that derives physical constants from the cost of recognition. This audit module sits at the analysis stage of that chain, checking the internal consistency of the coupling table that the framework's derivation produces. The module does not itself derive the table; it verifies that the table has the expected size and passes its consistency gate.

The practical consequence is that the framework's gravity analysis has a verified foundation for its coupling structure. A reader can trust that the 1208-entry table is complete as the framework defines it, and that the normalization gate, the check that the table's values are internally consistent, has passed. This is a bookkeeping guarantee, not a physical prediction; it confirms the framework's internal arithmetic, not its agreement with measured gravity.

theorem bloch_symbol_audit_package :
    couplingTable.size = 1208 ∧
      exactBlochSymbolStatus.specializedTendstoProved = true ∧
        exactBlochSymbolStatus.srsInhabited = false ∧
          exactBlochSymbolStatus.gapActionRecovery = false ∧
            NormalizationGatePass = true :=
  ⟨couplingTable_size, rfl, rfl, rfl, normalizationGatePass_true⟩

theorem bloch_symbol_audit_package :
    couplingTable.size = 1208 ∧
      exactBlochSymbolStatus.specializedTendstoProved = true ∧
        exactBlochSymbolStatus.srsInhabited = false ∧
          exactBlochSymbolStatus.gapActionRecovery = false ∧
            NormalizationGatePass = true :=
  ⟨couplingTable_size, rfl, rfl, rfl, normalizationGatePass_true⟩

What this page does not claim

This module does not derive the coupling table; it audits a table produced elsewhere in the framework. The audit does not compare the coupling table against measured gravitational data. The recovery mechanisms reported as false are not claimed to be impossible, only unused in this context.

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/Analysis/ReggeExactFlatHessianBlochSymbol4DAudit.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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