Arc 1 — Foundational Papers
Geometric Foundation
Paper 0 — Geometric Foundations of the LMR Grammar
Status: Geometric Foundation
Authority: Geometric support for the codex grammar
Role: Provides tetrahedral and symmetry grounding for the hourglass, quadrant, mid₁, and facing structures
→ Paper 0
Foundational Sequence
Arc 1 is the foundational sequence of Length–Mass Reduction.
It establishes the codex grammar, the lattice account of admissibility and persistence, the classification of minimal persistent configurations, the electromagnetic projection layer, and the normalization framework governing structural support.
The papers are ordered. Each paper assumes the definitions and constraints established before it.
Paper I — Codex and Foundational Grammar
Status: Published Paper
DOI: https://doi.org/10.5281/zenodo.18112473
Authority: Foundational codex authority.
Purpose: Establishes notation, representation rules, dimensional grammar, and diagrammatic grammar.
Role in Arc 1: Defines the grammar within which all subsequent structure is expressed.
Paper II — Lattice, Perturbation, and Persistence
Status: Published Paper
DOI: https://doi.org/10.5281/zenodo.18178159
Authority: Foundational structural authority.
Purpose: Establishes the lattice setting, perturbation, redistribution, constraint, admissibility, and persistence.
Role in Arc 1: Introduces the structural conditions under which configurations may persist.
Paper III — Emergence and Structure
Status: Published Paper
DOI: https://doi.org/10.5281/zenodo.19442810
Authority: Foundational structural classification authority.
Purpose: Establishes minimal persistent configurations and the emergence of primitive structural classes.
Role in Arc 1: Populates the grammar with structurally admissible persistent forms.
Paper IV — Electromagnetic Routing and Projection
Status: In preparation
Authority: Foundational projection authority.
Purpose: Establishes electromagnetic projection, external legibility, and the role of the projection corridor.
Role in Arc 1: Defines how unresolved structural asymmetry becomes externally legible.
Public page and PDF will be added after release.
Paper V — Persistence, Inflow, and Gravitational Routing
Status: In preparation
Authority: Foundational normalization authority.
Purpose: Establishes normalization, structural support, inflow, and gravitational routing.
Role in Arc 1: Defines the internal support condition under which persistent structure is sustained.
Public page and PDF will be added after release.
Reading Rule
Arc 1 should be read in order.
The papers are not independent essays. They form a single ordered construction.
Definitions and constraints introduced earlier govern later papers.