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

Status flags

The declaration starEdgeOriginsStatus_flags is a small theorem that records the state of a specific calculation in the Recognition Science framework. It establishes three facts about a structure called starEdgeOriginsStatus. First, the flag tablesLanded is set to true, meaning the lookup tables for the calculation are in place. Second, gapActionRecovery is false, meaning a particular recovery mechanism is not active. Third, base0Forbidden is true, meaning a certain repair path is explicitly disallowed. The theorem is proved by the Lean kernel's decide tactic, which simply evaluates the definitions and confirms the flags hold.

In plain terms, this is a bookkeeping statement. The calculation in question, called the position-resolved star edge origins fold repair, deals with how seed edges carry lattice origins into a deficit phase for certain orbits. The flags say that the tables for this calculation have landed, that the gap action recovery is not being used, and that the base0 half-repair is forbidden. The theorem does not assert that the calculation is physically correct, that it matches any measurement, or that it has any empirical consequence. It only records the internal state of the framework's formal development.

The declaration is part of a larger machine-checked library of formal theorems. Its role is to pin down the status of a specific implementation choice. It does not claim that the fold repair is the only possible approach, nor that it is the best one. It simply states that, within the framework, this is the current state of the flags. The theorem is a definitional record, not a discovery about the physical world.

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

What this page does not claim

The theorem does not assert that the position-resolved fold repair is physically correct or empirically validated. The theorem does not claim that the base0 half-repair is mathematically impossible, only that it is disallowed in this framework. The theorem does not say that the gapActionRecovery mechanism is flawed, only that it is not active in this status record.

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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