Lattice
Definition
The lattice is the admissibility substrate of LMR.
It is the structural setting within which perturbation, redistribution, constraint, and persistence are defined.
The lattice is not introduced as a physical medium, field, ether, spacetime fabric, or mechanical substance. It is the predynamical structural domain in which codex-governed relations are evaluated.
Tier Placement
Primary tier: Tier 1
Role: Structural grammar
The lattice belongs to the foundational grammar of LMR. It provides the structural setting required for admissibility and persistence.
Source
Primary source: Paper II — Lattice, Perturbation, and Persistence
Authority level: Foundational
Paper II establishes the lattice setting as the context for perturbation, redistribution, constraint, admissibility, and persistence.
Function in LMR
The lattice provides the structural domain in which configurations may or may not become admissible.
It functions as the setting for:
- perturbation
- redistribution
- constraint
- admissibility
- persistence
- routing relations
- later structural classification
The lattice makes it possible to ask whether a proposed configuration is permitted by the grammar.
Allowed Use
The lattice may be used as the Tier 1 structural setting for evaluating admissibility, persistence, and routing.
It may also be used to describe the predynamical context in which constrained configurations are defined.
Prohibited Misuse
The lattice must not be treated as:
- a material substance
- a physical ether
- a field
- spacetime
- a mechanical grid
- a dynamical medium
- a hidden-variable mechanism
It must not be used to smuggle dynamics into Tier 1.