Abstract
We study independent connection variation on a specified Lorentzian stellar 1–5 complex with fixed boundary comparisons and an admitted logarithm branch. Two off-shell completions agree on the geometric connection section but have different connection-stationary structures. The original rooted completion has a nonsingular reference connection Hessian and a locally unique geometric stationary section, whose restriction gives the matched finite metric Dirichlet action. Replacing actual coefficient transport under re-rooting by metric-precomputed geometric transport produces another functional with an exact six-parameter flat stationary family. Eliminating fifty-four normal coordinates gives an analytic common-coordinate action difference divisible by the square of a flat-embedding obstruction. Its leading Hessian is the relaxed Schur coefficient, of inertia , rather than the unrelaxed common block. We prove the analytic reduction and injectivity implications and apply them conditionally to a reported seven-box certificate. The uniform enclosure inputs are separately identified and supported by a companion analytic reconstruction and exact action-level coefficient audit; the scope of that computational evidence is explicit. Under those inputs the normalized inverse is bounded, whereas the full stationary connection inverse grows as inverse obstruction squared. All twenty faces, including ten boundary faces, and all sixty independent connection directions are retained. The conclusions are conditional finite-model statements at supplied metrics; they do not select a primitive action or coframe, solve general metric-vacuum dynamics, or establish a continuum limit.
Where it sits in the release
RIC-LC is Wave B’s finite-action paper. Its theorem concerns one completely specified finite Lorentzian model and stated analytic and certificate inputs; it is not an arbitrary-mesh, continuum, general-relativistic, or quantum-gravity result. The companion analytic supplement and verification materials are deposited with the same record.
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