Conclusion and the four missing interfaces

The conditional composition statement is

The explicit word separates its source change from its particle incidence. Its final flow changes genuine crease lengths and necessarily changes persistent-edge reports. Its finite implementation retains histories and leaves internal matter untouched.

Four missing interfaces remain outside this theorem.

1. Mixed germ. A successor must construct one common realization, both appropriate one-sided germs, complete ordered affine words through the mixed stratum, core–collar and worldline matching, valid location transport, and a canonical forward-domain decoder. None is supplied by combining the two existing permission guards.

2. Token acquisition. A successor must specify an operational instrument, its named output algebra, residual ownership, current-source interpretation, and controlled error. T0 supplies a token but constructs no such instrument.

3. Directional dominance. A successor must provide an independently certified physical embedding and an exact or controlled directional inclusion for the same timed network and access interface. Scheduled ancestry and a scalar speed bound do not provide it.

4. Canonical dynamics and a larger catalogue. A successor must specify a dynamical law, its proper gauge and time conventions, and complete certificates for every additional admitted event. The cited polygon literature is context, not an unstated Hamiltonian premise.

The package is not a derivation of classical spacetime from quantum data, a Page curve, an evaporation theorem, or a holographic identification. No characteristic quantum product or inherited gravitational quantum coefficient is constructed.

The separately inherited documentary status

is unchanged. This is a scope statement, not a new universal nonexistence theorem or an independent audit of that programme.