Question and the result completed here

En01-B En01B proved calibrated obstructions and a nonquadratic three-separation attenuation contrast. The issue addressed here is whether that contrast identifies the hypothesis difference actually prepared by the staged reference architecture, rather than a different fixed-separation experiment.

The reference proposal uses the sequence

Its preparation stages generate a coherence-length difference that later stages reveal; both splitting and final sensing use squared-position measurement Pino2018. We do not identify this matter-wave proposal with optical interferometric motion readout.

The contribution consists of three results.

1. Preparation-aware cancellation. A contrast cancelling $d^2$ removes the normalized Gaussian preparation-coherence signal, irrespective of whether the changed coefficient arose from environment or gravity.

2. Structured-force distinction. Support-displacement noise has a derived curvature-dependent transfer. Its generator response is not proportional to persistent gravity during a flat stage.

3. Complete-record certificate. A four-time variation of the same staged architecture admits a global bounded-statistic certificate based on the retained split record, including finite sensing and measurement backaction.

The four-time settings change the free-stage duration. They retain the order and types of stages but are not the single fixed design in the reference paper. No additional post-split interrogation interval is introduced.

The central positive theorem is conditional on common physical controls, a flat-stage model, calibrated competing diffusion, and moment/error bounds. It is not merely a local derivative-rank statement. Nor is it evidence that the proposed certificate has useful apparatus-specific power: its retained second-moment signal can be much smaller than a coherence signal.

All mathematical prerequisites used below are stated and proved. En01-A En01A supplies conceptual context on accessible records, not finite-dimensional premises for continuous-variable propagation. Unrelated field-theory and manuscript-registry constructions are not assumptions of this paper.