IndisputableMonolith.Ethics.SigmaExternalizationAudit
The SigmaExternalizationAudit module supplies definitions and predicates for ethical auditing of sigma externalization. It organizes sigmaImpact, zero_output_zero_impact, isSafeOutput, safe_when_small, auditCost and audit_is_O1 as sibling declarations. Researchers applying Recognition Science to computational ethics would reference it for impact and safety checks. The module contains no proofs and serves as a definition container.
claimThe module introduces the predicates $sigmaImpact$, $zero_output_zero_impact$, $isSafeOutput$, $safe_when_small$, $auditCost$ and $audit_is_O1$ for ethical audit of sigma externalization.
background
The module sits in the Ethics domain of IndisputableMonolith and imports only Mathlib. Its sibling declarations define sigmaImpact for externalization effects, zero_output_zero_impact to establish that zero output carries zero impact, isSafeOutput to certify safe outputs, safe_when_small for scale-dependent safety, auditCost for auditing expense, and audit_is_O1 to establish constant-time auditing.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies ethical audit tools that support application of the Recognition Science framework to externalized computations. It contributes to the Ethics domain with no listed parent theorems or downstream uses.
scope and limits
- Does not define the underlying sigma function.
- Does not reference the forcing chain or phi-ladder.
- Does not contain theorem proofs or sorry statements.
- Does not address physical constants or mass formulas.