Perturbation
Definition
A perturbation is a local alteration of lattice scale relative to the free lattice unit.
In LMR, perturbation is structural. It does not imply force, motion, physical pressure, energy transfer, or propagation through a medium.
Tier Placement
Primary tier: Tier 1
Role: Structural alteration
Perturbation belongs to the foundational lattice grammar established in Paper II.
Source
Primary source: Paper II — Lattice, Perturbation, and Persistence
Authority level: Foundational structural
Paper II introduces perturbation as the first relational distinction from the free lattice unit.
Function in LMR
Perturbation functions as the first deviation from homogeneous lattice reference.
It supports:
- local structural distinction
- compression as relational difference
- redistribution
- transience
- constraint
- persistence
A perturbation may redistribute fully or become structurally constrained.
Allowed Use
Perturbation may be used to describe a local structural alteration within the lattice grammar.
It may be used prior to any physical interpretation, mechanism, or dynamical overlay.
Prohibited Misuse
Perturbation must not be treated as:
- physical motion
- applied force
- energy input
- wave propagation
- material deformation
- field excitation
- causal disturbance
A perturbation is a structural alteration, not a mechanical event.