The Trajectory-Information Freedom Verification Methodology for the Perfect Cuboid (v0.2) and the Research Notes of This Round

v0.2: an expanded framework — a lifted configuration space, path functionals, holonomy H_γ, a common-lift proposition and a defect-correspondence conjecture; the Euler brick (44, 117, 240) is used only as a local-versus-global sanity check; Propositions A–C are 'research propositions, not yet proven theorems'. The research notes record two negative results (rotational closure and radius comparison have no discriminating power / reduce to Pythagoras), the shift from trajectory shape to transported information, and open questions A–E; nothing is proved.