Introduction, attribution, and the Enter interface

The selected programme concerns the exact off-shell insertion $B_f$, a quadratic metric observable $W_g$, and one ordered three-factor word. Its source papers have distinct releases: IX-C gives criteria; IX-Free constructs the degree-two blocks; IX-Free-2 completes the declared descent and gluing problem IXC,IXFree,IXFreeTwo. A numerical three-test pairing is not, by itself, a binary map on actual intermediate functionals. That distinction determines the order of the proofs below.

The operational background is Enter's distinction between a consumed quantum input name, a classical readout, and an unmeasured residual EnterArticle,EnterI. The philosophical essay emphasizes that an output record is not the return of an unknown quantum state and that a finite interface does not identify its mathematical labels with a gravitational object EnterPhilosophy. We use finite Born instruments with explicitly proved complete channel identities; no new measurement-uniqueness claim is made.

Spacetime Enter adds locations, calibration, complete channels, and declared causal routes to a prescribed spacetime. The clock is a finite encoding. Its destructive readout does not remove the geometric time coordinate or derive the metric IB,En09. The finite operational layer in Section sec:operational is independent of the distributional factorization proofs.