IndisputableMonolith.Gravity.Analysis.MetricEdgeImage4DAudit
Audit layer for the finite linearized metric edge image on the sixteen-site Freudenthal patch. It packages checks that a discrete strain current arises from a 4×4 metric perturbation, matching the frozen-world edge-current action. Gravity analysts cite it when verifying that linearized holography stays on the discrete null skeleton. Structure is import-and-audit over the core image module, not a new derivation.
claimAudit of the finite linearized metric edge image: a discrete strain current $F$ on the sixteen-site Freudenthal patch is the image of some $4\times 4$ metric perturbation, with strain and binary patch coordinates matching the cover edge-current action in four dimensions.
background
Recognition gravity here is discrete and order-sensitive: linearized metric data live on a Freudenthal cover of a sixteen-site patch rather than a continuum manifold. The upstream module defines the finite linearized metric edge image on that patch (frozen-world metric-null of the order-sensitive gravity plan). Concretely, an edge image means a strain current $F$ obtained from some Mat4 perturbation; the strain formula and binary patch coordinates are required to match the Freudenthal cover edge-current action in 4D.
This audit module sits one layer above that definition. It does not re-derive the strain map; it organizes consistency and interface checks so that downstream gravity arguments can treat the edge image as a closed discrete object rather than an open continuum linearization.
proof idea
Definition and audit module, not a theorem derivation. It imports the core MetricEdgeImage4D development and exposes audit-facing structure around the claim that a discrete strain current is the image of a Mat4 perturbation on the sixteen-site patch. Expect re-exports, predicate wrappers, and local sanity lemmas rather than a multi-step forcing argument. No independent proof chain beyond what the imported edge-image module already supplies.
why it matters in Recognition Science
Keeps the discrete gravity stack honest at the linearized edge-image step. The parent content is the finite linearized metric edge image on the Freudenthal patch, frozen against the order-sensitive gravity proposition plan. Downstream consumers (none linked yet in the graph) would use a clean audit surface when wiring strain currents into holographic or eight-tick gravity arguments. In the broader RS chain this is local gravity analysis infrastructure, not a T0–T8 forcing step; it protects the claim that continuum-looking metric perturbations reduce to finite edge currents on the binary patch without smuggling continuum degrees of freedom.
scope and limits
- Does not prove uniqueness of the strain map from continuum Einstein linearization.
- Does not derive Newtonian or post-Newtonian limits from the edge image.
- Does not establish full nonlinear metric dynamics on the Freudenthal cover.
- Does not fix constants c, G, or alpha; those live elsewhere in the monolith.
- Does not supply used-by theorems yet; the audit surface is presently a leaf.