Gravity Analysis Regge Bloch Star Edge Origins4 D Star Edge Origins Status

Status flags

In the Recognition Science framework, a ledger (a discrete record of events) tracks the state of a computation with plain boolean flags. The declaration StarEdgeOriginsStatus is a structure with three such flags, and the definition starEdgeOriginsStatus sets their current values. The first flag, tablesLanded, is true, meaning the precomputed tables for star edge contributions are in place. The second, gapActionRecovery, is false, meaning a particular recovery mechanism is not active. The third, base0Forbidden, is true, meaning a specific half-repair operation is blocked.

These flags are not physics claims. They are engineering status markers inside a machine-checked library of formal theorems. The theorem starEdgeOriginsStatus_flags verifies, by direct computation, that the flags have exactly these values. The surrounding code defines how star edge contributions carry class indices, weights, and lattice origins, and how those origins are transported by covering permutations into a phase calculation. The status structure records which parts of that pipeline are finished and which are deliberately turned off.

The flags do not assert that any physical result follows. They do not say that the tables are correct, only that they exist. They do not say that the recovery path is impossible, only that it is off. They do not say that the base0 operation is invalid in general, only that it is forbidden in this configuration. The distinction matters: a status flag is a snapshot of what a computation is allowed to do, not a statement about what nature does.

structure StarEdgeOriginsStatus where
  tablesLanded : Bool
  gapActionRecovery : Bool
  base0Forbidden : Bool

def starEdgeOriginsStatus : StarEdgeOriginsStatus where
  tablesLanded := true
  gapActionRecovery := false
  base0Forbidden := true

theorem starEdgeOriginsStatus_flags :
    starEdgeOriginsStatus.tablesLanded = true ∧
      starEdgeOriginsStatus.gapActionRecovery = false ∧
        starEdgeOriginsStatus.base0Forbidden = true := by
  decide

What this page does not claim

The flags do not assert that any physical result follows from the tables. The flags do not claim the tables are correct, only that they exist. The flags do not say the recovery path is impossible, only that it is off.

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/ReggeBlochStarEdgeOrigins4D.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

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