---
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---
## Task
An open research task extracted from the final Chapter 2 manuscript, not a new canonical derivation.
## Current state
Both radial-length integrals are analytic in the adopted exterior model, and photon-sphere and capture scales have been obtained. Boundary-cell counting gives area entropy, while the fixed-parameter sequence gives temperature and a first law. Unclosed tasks are termination-boundary formation, microstate capacity, correlation corrections and joint boundary–exterior evolution; these gaps do not erase the existing analytic results.
## Required work
Derive strong-field X, radial scale and standard-process coupling from a longitudinal–transverse action, source boundary conditions and stable solutions; identify microscopically fixed coefficients.
## Deliverable and boundary
A reviewable action, field equations, exterior solution, weak-field matching and stability analysis, with adopted inputs distinguished from outputs.
Weak-field redshift does not uniquely select a full strong-field function; X=0 of an adopted function does not prove boundary formation.
## Sources and collaboration
Final collected manuscript · Chapter 2 §五.1—8 (2.59)—(2.94)及小结第四项
[Gravity](/en/theory/gravity) · [Tests](/en/tests/gravity)