Notation
The Notation page summarizes recurring symbols and notation rules used in Length–Mass Reduction.
This page is a reference aid. It does not replace the definitions established in the papers.
When notation differs between this page and a foundational paper, the paper governs.
Authority Rule
Paper I governs foundational notation.
Later papers extend usage only within the limits established by Paper I.
Concept pages, diagrams, supplements, and working notes may clarify notation, but they do not modify it.
Prime Notation
Prime notation marks codex-governed representation.
Primes are used only where the framework requires distinction between structural representation, side placement, or correspondence role.
Prime notation must not be treated as decorative.
M′
M′ denotes inverse structural-length representation.
It is read as inverse length within the codex grammar.
It must not be read as ordinary SI mass unless an explicit Tier 3 correspondence context has been declared.
See: M′
λ
λ denotes structural length.
It is read within the LMR codex as a structural length quantity, not automatically as a standard physical wavelength.
See: λ
f
f denotes structural frequency relation.
Its use must remain inside the relevant structural grammar unless explicitly moved into a declared overlay or correspondence context.
t
t denotes time relation within the hourglass grammar.
It must not be treated as proof that the hourglass is a dynamical cycle.
X
X denotes the electromagnetic projection corridor.
It is not an electromagnetic field, force carrier, or dynamical coupling.
See: X Corridor
q′
q′ denotes a projection signature.
It is not standard electric charge unless explicitly placed into Tier 3 correspondence.
See: q′
√G′
√G′ denotes the internal normalization corridor.
It is not Newtonian G, gravitational force, curvature, or a dynamical coupling.
See: √G′ Corridor
Rabs
Rabs denotes a structural support signature associated with normalization routing.
It is not force, field strength, energy, potential, or curvature.
See: Rabs
ℓm
ℓm is a bridge quantity used in the foundational dimensional grammar.
Its role must be read according to Paper I.
It must not be promoted into a final primitive unless explicitly permitted by the codex.
mid₁
mid₁ denotes the mirror-inversion center used in the foundational grammar.
It is a codex relation, not a physical location, mechanism, or object.
Ẑ and ξ̂
Ẑ and ξ̂ are operators associated with later structural extension and classification work.
They should be read only in the context in which they are formally introduced.
They must not be imported backward into Arc 1 unless explicitly incorporated by the paper sequence.
Side Discipline
LMR distinguishes representational sides.
A-side and B-side expressions are not freely interchangeable.
A quantity may not be moved between sides by ordinary algebraic convenience alone. Movement between sides must follow the codex grammar established in Paper I.
Tier Discipline
Notation must be read according to tier.
- Tier 1 notation is structural.
- Tier 2 notation is representational overlay.
- Tier 3 notation is correspondence.
A symbol used in more than one tier must retain its declared tier role in each context.
Reading Rule
Notation in LMR is grammatical.
Symbols do not merely name quantities. They mark role, side, relation, and admissibility within the codex.
Readers should not translate LMR notation into standard physics notation unless the text explicitly declares a Tier 2 or Tier 3 context.