Downloads
The Downloads page provides access to official Length–Mass Reduction materials.
Readers should begin with the foundational papers before consulting supplements or frontier-oriented material.
Geometric Foundation
Paper 0 — Geometric Foundations of the LMR Grammar
Status: Geometric Foundation
Geometric support for the codex grammar.
PDF: Download Paper 0
Published Papers
Paper I — Codex and Foundational Grammar
Status: Published Paper
Foundational codex authority for notation, representation rules, and diagrammatic grammar.
DOI / Link: https://doi.org/10.5281/zenodo.18112473
PDF: Download Paper I
Paper II — Lattice, Perturbation, and Persistence
Status: Published Paper
Foundational structural authority for lattice, perturbation, admissibility, and persistence.
DOI / Link: https://doi.org/10.5281/zenodo.18178159
PDF: Download Paper II
Paper III — Emergence and Structure
Status: Published Paper
Structural classification authority for minimal persistent configurations.
DOI / Link: https://doi.org/10.5281/zenodo.19442810
PDF: Download Paper III
Paper IV — Electromagnetic Routing and Projection
Status: Published Paper
Projection authority for X, q′, and external legibility.
DOI / Link: https://doi.org/10.5281/zenodo.20088497
PDF: Download Paper IV
Manuscripts
Paper V — Persistence, Inflow, and Gravitational Routing
Status: In preparation
Normalization authority for √G′, Rabs, and persistence support.
PDF: Not publicly available until release.
Supplements
S1 — Routing Modes
Interpretive support for routing discipline.
Related paper: Paper III — Emergence and Structure
PDF: Download S1
S2 — Hourglass Walkthrough
Diagrammatic support for hourglass grammar.
PDF: Coming soon
Companion Series
Status: Non-Normative Companion Series
Dimensional and representational companion works aligned with the Arc I codex.
Companion volumes contextualize. They do not govern.
Companion Volume I — Overlay Layer
Status: Companion Volume
PDF: Download Companion Volume I
Companion Volume II — Dimensional Correlation Layer
Status: Companion Volume
PDF: Download Companion Volume II
Position Papers
Position papers provide public-facing framing. They do not govern the foundational papers.
Position Paper 0 — What LMR Is
Status: Position Note
PDF: Download Position Paper 0
Position Paper 1 — The Three-Tier Discipline
Status: Position Note
PDF: Download Position Paper 1
Position Paper 2 — Mass Is Inverse Length
Status: Position Note
PDF: Coming soon
Position Paper 3 — Kilogram Redundancy
Status: Position Note
PDF: Coming soon
Position Paper 4 — Hourglass Architecture
Status: Position Note
PDF: Coming soon
Research / Frontier Notes
Status: Exploratory / Internal Frontier Material
Frontier notes explore. They do not govern the Arc I codex.
M′ Perspective Geometric Realization
PDF: Download M′ Perspective Geometric Realization
Geometric Alignment
PDF: Download Geometric Alignment
Shared Dimensional Backbone
PDF: Download Shared Dimensional Backbone
Tier-1 Mapping QM/GR
PDF: Download Tier-1 Mapping QM/GR
Version Rule
Published papers should be cited by DOI or official release page.
Manuscripts, supplements, and public companion materials should be cited only by version and date.
When a published version exists, it supersedes prior manuscript versions unless otherwise stated.