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Length–Mass Reduction (LMR) should be read in order.

This page provides a public reading path before entering the foundational papers. Its purpose is to establish scope, prevent category error, and define how the site should be used.

1. Orientation​

Length–Mass Reduction (LMR) is a structured framework that operates at the level of dimensional grammar.

It does not begin from forces, fields, or equations of motion. It begins from structural relations, admissibility conditions, and constrained configurations within a lattice-based geometry.

The foundational sequence, Arc 1, develops this grammar in a fixed order. Each paper assumes the definitions and constraints established before it.

2. What LMR Is Not​

LMR is developed under strict exclusions:

  • No forces are introduced at the foundational level.
  • No fields are invoked as explanatory mechanisms.
  • No dynamical laws are assumed or derived.
  • No reinterpretation of standard physics is performed within Tier 1.

These exclusions are not provisional. They define the scope of the framework.

3. The Tier Discipline​

LMR is organized into three distinct tiers:

Tier 1 — Structural Grammar​

Predynamical geometry. Defines admissibility, persistence, projection, and normalization as structural relations.

Tier 2 — Representational Overlays​

Observer-side constructions used to express Tier 1 structure in familiar mathematical or physical forms.

Tier 3 — SI Correspondence​

Mapping between structural quantities and standard SI representations through ℓm-reduction.

The tiers are not interchangeable. Tier 1 does not depend on Tier 2 or Tier 3.

For a first pass through the site:

  1. What is LMR? — Position Paper 0: What LMR Is
  2. How is it organized? — Position Paper 1: The Three-Tier Discipline
  3. The foundational papers — Papers I–III
  4. Currently in review — Paper IV and Paper V are in preparation and will be added after release.

Position papers provide orientation. The formal papers govern the codex.

5. Arc 1 Reading Order​

Arc 1 should be read in sequence:

  1. Paper I — Codex and Foundational Grammar
  2. Paper II — Lattice, Perturbation, and Persistence
  3. Paper III — Emergence and Structure
  4. Paper IV — Electromagnetic Routing and Projection (in preparation)
  5. Paper V — Persistence, Inflow, and Gravitational Routing (in preparation)

Each paper extends the same system. Skipping order will introduce category error.

6. Minimum Vocabulary​

The following terms are used in their codex sense:

  • codex — a fixed system of definitions and rules
  • dimensional grammar — structural organization of physical description
  • lattice — admissibility substrate
  • admissibility — condition for allowed structural configuration
  • persistence — prevention of redistribution under constraint
  • half-fold — minimal structural unit of asymmetry
  • corridor — permitted structural routing relation
  • projection — external legibility of unresolved structure
  • normalization — structural constraint governing persistence support

These meanings are defined formally in the papers and are not interchangeable with standard usage.

7. How to Use the Site​

The site is organized by role:

  • Papers — authoritative definitions and results
  • Concepts — navigation and cross-reference
  • Diagrams — structural orientation
  • Supplements — interpretive or diagrammatic support
  • Frontier material — maintained internally until selected material is prepared for public release

Only the papers govern the codex.

8. Proceed​

Begin with:

→ Position Paper 0 — What LMR Is