Research question
What mathematical structure should represent the relationship between inner generation and outer completion?
SMM/DTT direction
The programme uses different mathematical descriptions for phase and temporal geometry. A complex phase, a split-complex coordinate, and a pair of physical clocks have different roles and should not be identified merely because each involves two components.
What the construction must establish
Define the state space, preserved form, transformation rule, and physical interpretation separately. Consult the phase-selection paper for its specific representation-theoretic setting.