IndisputableMonolith.Gravity.RSNullFieldEquationAudit
Audit module for the Recognition Science null scalar reduction of an Einstein-shaped matrix field equation. It sits on the gravity stack and packages the algebraic contraction that turns a matrix source into a null-contracted scalar identity. Researchers checking the RS gravity bridge cite it to confirm the reduction is isolated and import-clean. Structure is a thin audit shell over the proved algebraic step in the imported null-field module.
claimAudit packaging of the algebraic reduction: if $\kappa T = \mathrm{Ric} + f\,\eta$ is an independently supplied Einstein-shaped matrix equation, then its null contraction yields the corresponding RS null scalar field equation.
background
Recognition Science gravity work often starts from an Einstein-shaped matrix equation supplied independently of the RS derivation chain, then reduces it to a scalar identity along null directions. The imported module states that step explicitly: from $\kappa T = \mathrm{Ric} + f,\eta$ one obtains the null-contracted scalar form used downstream in RS gravity.
This audit module does not re-derive curvature identities. It isolates and re-exports that algebraic contraction so the gravity domain can treat the null scalar equation as a checked interface rather than an inline calculation. Notation follows the upstream convention: $T$ is the source matrix, $\mathrm{Ric}$ the Ricci side, $\eta$ the metric factor, and $f$ the scalar coefficient in the assumed matrix equation.
proof idea
No independent proof body lives in the audit module itself. It imports the null-field equation module and relies on that module's algebraic reduction from the matrix equation $\kappa T = \mathrm{Ric} + f,\eta$ to the null-contracted scalar equation. The audit layer is structural: dependency hygiene and claim surface, not a new tactic script.
why it matters in Recognition Science
In the RS gravity domain this audit keeps the null scalar reduction as a named, importable checkpoint between an assumed Einstein-shaped matrix source and later scalar gravity identities. It feeds no further used_by edges in the supplied graph, so its role is local hygiene: make the algebraic step from the null-field module visible and citable without mixing it into larger curvature or phenomenology proofs. Framework-wise it supports the gravity bridge that sits beside the forcing chain landmarks (T5 J-cost, T8 $D=3$) without claiming those landmarks here.
scope and limits
- Does not derive Einstein equations from RS first principles.
- Does not prove existence or uniqueness of the matrix source $T$.
- Does not fix the scalar coefficient $f$ or identify it with RS constants.
- Does not address phenomenology, lensing, or galactic rotation curves.
- Does not discharge curvature identities beyond the imported null contraction.