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√G′ Corridor

Definition​

√G′ is the internal normalization corridor of LMR.

It is the permitted structural routing relation associated with persistence support and gravitational routing.

√G′ is not Newton’s gravitational constant, a force law, a curvature term, or a dynamical coupling. It is a codex-defined corridor within the Tier 1 normalization grammar.

Tier Placement​

Primary tier: Tier 1

Role: Normalization corridor

√G′ belongs to the foundational gravitational routing layer of Arc 1.

It is used to express internal support structurally, without introducing gravitational dynamics.

Source​

Primary source: Paper V — Persistence, Inflow, and Gravitational Routing

Authority level: Foundational

Paper V establishes √G′ as the corridor governing internal normalization and persistence support.

Function in LMR​

The √G′ corridor provides the structural routing relation by which persistence support is expressed.

It functions in:

  • normalization
  • gravitational routing
  • internal support
  • relation to Rabs
  • admissibility support
  • preservation of Tier 1 separation from force and field language

√G′ allows LMR to speak of gravitational routing without treating gravity as a foundational force or field mechanism.

Allowed Use​

√G′ may be used as a Tier 1 normalization corridor.

It may be used in expressions involving Rabs when the relation is treated as structural support grammar rather than gravitational dynamics.

Prohibited Misuse​

√G′ must not be treated as:

  • Newtonian G
  • a gravitational force constant
  • a spacetime curvature source
  • a dynamical coupling constant
  • a field strength
  • an SI equality without explicit correspondence framing

It must not be imported into standard gravitational theory without explicit tier declaration.

See Also​

  • Paper V — Persistence, Inflow, and Gravitational Routing (in preparation)
  • Codex Rules