Bounding Inter-Branch Communication by Dimensionality-Dependent Erasure Times

Manuscript deposit (OSF Project) for: “Bounding Inter-Branch Communication by Dimensionality-Dependent Erasure Times”. We propose a falsifiable ordering test linking inter-branch witness suppression to the dimensionless ratio tau_EWS / T across materials at fixed finite cycle time T. The current revision (v3, 2026-02-23) defines tau_bound(epsilon) operationally via a tolerance-based reset criterion and outlines an extraction protocol using a reset-duration sweep with witness-threshold behavior. Contents: PDF manuscript + LaTeX source bundle + figure. Version: v3 (2026-02-23). Earlier drafts preserved via OSF file revisions.