Length–Mass Reduction (LMR)
Length–Mass Reduction (LMR) is a structured theoretical framework that reorganizes physical description at the level of dimensional grammar.
LMR is presented as a codex: a fixed sequence of definitions, notation rules, structural constraints, and admissibility conditions. Its foundational papers establish a predynamical geometry in which persistence, projection, and normalization are expressed through structural relation rather than force, field, or dynamical law.
Within this grammar, mass is represented through inverse structural length. This representation is not introduced as a dynamical mechanism, but as part of the dimensional and structural framework developed across the foundational sequence.
For a first orientation, begin with the public position notes:
- What is LMR? — Position Paper 0: What LMR Is
- How is it organized? — Position Paper 1: The Three-Tier Discipline
These position notes frame the program for new readers. They do not govern the codex; the formal papers remain the authority.
The foundational sequence, Arc 1, establishes:
- a fixed notation and grammatical system,
- a lattice-based account of admissibility and persistence,
- a classification of minimal persistent configurations,
- an electromagnetic projection layer,
- and a normalization framework governing structural support.
These components form a single ordered construction. They are not independent papers.
Constraint
LMR is developed under strict conditions:
- No forces are introduced at the foundational level.
- No fields are invoked as explanatory mechanisms.
- No dynamical laws are assumed or derived.
All foundational results are expressed as structural relations within a predynamical geometry.
Scope
The material presented here corresponds to Arc 1 of the LMR program.
Arc 1 is complete as a structural foundation. It defines the grammar within which subsequent work must operate.
Later developments — chemistry, measurement, correspondence, and application domains — are treated as extensions of this foundation. They do not modify the Arc 1 codex.
Entry
LMR should be read in order.
Readers should begin with the guided entry path:
This page provides a public reading path from the position notes into the published papers and current formal manuscripts.
Structure
The site is organized into four distinct layers:
- Authority — the Arc 1 papers (I–V)
- Navigation — concepts and diagrams
- Exploration — supplements
- Frontier — internal working notes and ongoing developments
These layers are intentionally separated.
Status
- Papers I, II, and III are published.
- Papers IV and V are formal manuscripts undergoing final consolidation.
- Supplementary material is available for structural context but does not govern the codex.
- Working notes and frontier material are maintained internally until selected material is prepared for public release.
Citation
LMR is a structured sequence. Definitions and notation are established in earlier papers and are not repeated unless necessary.
Readers citing specific results should reference the corresponding paper in Arc 1.
Author
Jacob Rollins