Diagrams
The Diagrams section collects the visual grammar of Length–Mass Reduction.
LMR diagrams are not decorative illustrations. They are structural maps used to express codex relations, admissibility, routing, projection, and normalization.
Diagrams support the papers, but they do not override them.
Diagram Reading Rule
A diagram must be read according to the tier discipline of the concept it represents.
No diagram may be used to introduce forces, fields, dynamics, or new primitives into Tier 1.
Core Diagrams
Quadrant Grammar
Defines the basic representational organization of side, inversion, and dimensional relation.
Hourglass Grammar
Defines the central structural routing pattern used across the LMR codex.
M′–f–t–λ Middle Layer
Shows the central hourglass layer relating inverse structural length, frequency, time, and structural length.
Electromagnetic Hourglass
Shows the projection-layer routing associated with X, q′, and external legibility.
Completed Hourglass
Shows the integrated hourglass structure after projection and normalization layers are made explicit.
Geometric / Tetrahedral Foundations
Provides geometric orientation for tetrahedral closure, facings, and the structural basis of the grammar.
→ Geometric / Tetrahedral Foundations
Diagram Status
Diagrams are part of the LMR reading apparatus.
Some diagrams belong directly to Arc 1. Others are explanatory, supplemental, or frontier-facing.
Each diagram page identifies its role and authority level.
Template
- Diagram template: internal build file