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---
## Task
An open research task extracted from the final Chapter 2 manuscript, not a new canonical derivation.
## Current state
Finite near-core density deficit, far-field flux and four-way mass matching are already defined, and (2.7c) supplies the gravitational-coupling scale combination. The next step is to compute these responses in one stable structure, rather than add an unrelated mass parameter.
## Required work
Compute longitudinal source strength, inertia and external response from one stable matter structure, matching the dimensionless coupling in G₀ = ξ_G c²/(ρ₀ℓ₀²). Keep line density Φ, volume density ρ_s and near-core q_ρ distinct.
## Deliverable and boundary
A convergent near-core integral, exterior flux solution, energy/inertial/active/passive mass matching and coupling-coefficient calculation.
Do not integrate the external 1/r line-stretch field as a finite whole-space volume-density deficit; do not assign an electron or FCC source merely to complete a diagram.
## Sources and collaboration
Final collected manuscript · Chapter 2 §二.1—3、§三.1与5 (2.7b)—(2.9)、(2.24c)
[Gravity](/en/theory/gravity) · [Tests](/en/tests/gravity)