Optional classical lapse-composition interface

This is the composition pattern recorded in Em02-E and the original-rod comparison of XX-A CheungEm02E,CheungXXA. Calling ${\mathcal{N}}_{\epsilon }$ a lapse requires its own underlying metric, timelike branch, clock calibration, and rod prescription. A lapse scalar does not supply the spatial metric and shift of a complete geometry.

No formula in this appendix is computed from $N_S$, a clock record, or the table probe. No quantum composite lapse, renormalization, or characteristic admission follows from the Taylor expansion.