Conditional reconstruction of spectral mobility and the Lorentz factor from projective capacity saturation.

Synthesis of projective inertial kinematics in the Lorentz-capacity programme; the non-homogeneous capacity-metric bridge remains open.

Fibrewise Born-Infeld capacity lapse and gravitational time dilation, with the capacity-metric bridge explicit and open.

Unique Born-Infeld-lifted temporal residual map yielding the Lorentz factor; the local capacity-metric bridge remains open.