Part 7: Physical Identification and Hierarchical Scaling in Origin Geometry

The Origin Geometry (OG) program proposes that discrete aperiodic four-dimensional geometry can generate structurally distinguished dimensionless invariants without invoking empirical parameters or physical observables. In Paper 6, two such quantities were introduced: an interface invariant associated with boundary transmission capacity and a bulk–boundary inertial amplification ratio arising from geometric mediation between bulk defects and boundary excitations. The present work performs a single task: provisional physical identification. No new geometry, dynamics, or numerical derivation is introduced. Instead, we examine how the previously derived geometric invariants may correspond to phenomenological observables and interaction hierarchies. Within this interpretive framework, electromagnetic interaction is associated with boundary-localized lattice modes, while gravitational behavior is interpreted as a bulk stress response of the underlying geometry. The bulk–boundary inertial amplification ratio is also considered as a potential geometric origin of large mass hierarchies. The goal of this paper is therefore interpretive rather than derivational. It proposes candidate correspondences between geometric invariants and physical phenomena without claiming a completed fundamental theory.