Manuscript XIX-D@1 · XIX-D.tex · section · 1f47e33b
Even exact subdivision does not select a unique evolution
Finite instruments and continuum quantum non-determination › Even exact subdivision does not select a unique evolution · lines 1152–1173
These are elementary finite-dimensional comparison channels, not Hamiltonians or continuum realizations of the incidence package. They show that even exact root consistency at the coarse time does not uniquely select a generator. Additional spectral, calibration, locality, or interpolation restrictions may select one; those restrictions must be declared.
Diamond-norm comparison preserves arbitrary references Watrous. It does not by itself establish a physical metric, an invariant speed, or an autonomous geometry.
finite-register boundary. It would be false to infer from this inventory that no quantum update of a finite register exists. Complete channels, permutations, and finite instruments are legitimate quantum operations. What is not supplied here is a uniquely selected continuum evolution of the native incidence construction, a field-theoretic source acquisition, or quantum evolution without external time.