IndisputableMonolith.Meta.Homogenization
This module supplies a local non-sealed metric interface for homogenization scaffolding inside the simplicial ledger. It enables coordinate-free sheaf representations that unify local and global J-cost variations. The module consists entirely of definitions for tensors, determinants, densities and limits with no theorems or proofs.
claimLocal metric interface supplying tensor $g$, determinant $det(g)$, simplicial density function, and homogenization limit $H$ on a 3-complex sheaf.
background
The upstream SimplicialLedger module formalizes the ledger as a simplicial 3-complex rather than a coordinate-fixed cubic lattice. It supplies a coordinate-free sheaf representation that unifies local and global J-cost variations. The present module adds a non-sealed metric layer on top of that sheaf to support homogenization scaffolding.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module feeds the SimplicialFoundationSummary certificate, which records that the ledger structure is moving toward a coordinate-free simplicial sheaf representation.
scope and limits
- Does not seal the metric interface against future refinement.
- Does not introduce global coordinate charts.
- Does not contain any homogenization theorems or limits proofs.
- Does not depend on the phi-ladder or J-uniqueness results.