Abstract

We study a finite branch-matched reduction pilot and construct an independent analytic interface for assessing an inherited characteristic-coefficient problem. The pilot uses the same two conformational branch labels for its coherence witness and regularized gravitational energy. An exact finite thermal-bath calculation is separated from a memoryless loss–dephasing model. Observation-specific, channel, instrument, and energy-constrained comparison bounds are proved. Gaussian mass profiles give explicit aligned, alternating, localized, and correlated-domain energies, including cross terms and geometry-dependent stability constants. A complete-process nuisance-overlap theorem gives an exact identification obstruction; a calibrated forward instrument gives a positive robust gap against explicitly restricted alternatives. For the analytic track, we supply spacetime and distributional conventions, a weighted Euler-source identity, response and compact-root interfaces, a tree-composition theorem, a fixed retarded pole, presentation reconstruction, supported normal jets, contact obstructions, and a conditional microcausal admission criterion. A dependency and notation index distinguishes definitions reproduced here from inherited components unavailable in the supplied excerpts. The reported internal-amplitude construction at XIV-I/I2 is not confused with the full map unresolved at I3, XIV-J/J2, and the subsequent XV-B interface. The finite pilot and independent interface theorems are self-contained; an exact reconstruction or completion of the unavailable full inherited model is not claimed. No biological viability finding, unique gravity-specific identification, inherited quantum-coefficient admission, or consciousness interpretation is asserted.