The composition law does not imply relational dynamics

The identity (eq:typedcomposition) concerns external operational cuts. It does not prove that clock-conditioned matter states obey a common Schrödinger evolution.

The single-clock covariance interpretation in En09-A requires its preparation stationarity and clock-basis covariance hypotheses En09. Repeating a channel does not impose those hypotheses on subsequent prepared clocks or on their joint reference extensions.

There is also no finite canonical time commutator.